Social Choice Theory

Many welfarists wish to assign to each possible state of the world a numerical value that measures something like its moral goodness. How are we to determine this quantity? This paper proposes a contractualist approach: a legitimate measure of moral goodness is one that could be justified to each member of the population in question. How do we justify a measure of moral goodness to each individual? Each individual recognises the measure of moral goodness must be a compromise between the (...) different levels of well-being within the population. Some compromises are more reasonable than others; and some are better justifiable to a given member of the population than others. Each member recognises that the social chooser's measure of moral goodness is going to have to deviate from the well-being function of at least some of the members of the population. But we can nonetheless justify it to each of them if it doesn't deviate more than is necessary, and if the deviations from each member are given equal weighting in whatever process we use to determine it. This paper proposes that we begin with a measure of the distance from a proposed compromise to an individual's level of well-being, and then say that the moral goodness is the candidate compromise that minimizes the sum of distances from it to the individuals' levels of well-being. I describe a range of such measures of distance and show that some give utilitarianism, others different versions of prioritarianism. (shrink)

It is widely held that under ordinal utility, utility differences are ill-defined. Allegedly, for these to be well-defined (without turning to choice under risk or the like), one should adopt as a new kind of primitive quaternary relations, instead of the traditional binary relations underlying ordinal utility functions. Correlatively, it is also widely held that the key structural properties of quaternary relations are entirely arbitrary from an ordinal point of view. These properties would be, in a nutshell, the hallmark of (...) cardinal utility. While much is obviously true in these two tenets, this note explains why, as stated, they should be abandoned. Any ordinal utility function induces a rich quaternary relation. There is such a thing as ordinal utility differences. Furthermore, this induced quaternary relation respects, apart from completeness, the most standard structural properties of quaternary relations. These properties are, from an ordinal point of view, anything but arbitrary; from a quaternary perspective only completeness should be considered the hallmark—if any—of cardinal utility. These facts are explained to be especially relevant to the critical appreciation of the ordinalist methodology. (shrink)

In this article, I examine a case involving an equity-minded parent caught in a quandary about which school to select for her child, knowing that her decision may have consequences for others. To do so, I heuristically construct a fictional portrait and explore the deliberative process a parent might have through a dialogue taking place among ‘friends’, where each friend personifies a different set of ethical considerations. I then briefly consider two competing philosophical assessments but argue that neither position helpfully (...) assists in resolving the quandary. To conclude, I ask the provocative question whether parental motives – but also their school choices – actually matter if the inequitable outcomes seem to remain unchanged. (shrink)

The paper examines one of the considerations that determines the extent to which policymakers pursue the objec- tives demanded by constituents. The nature and extent of their ignorance serve to determine the incentives confronted by policymakers to pursue their constituents’ demands. The paper also considers several other consequences of policymaker ig- norance and its relationship to expert failure.

I examine the once popular claim according to which interpersonal comparisons of welfare are necessary for social choice. I side with current social choice theorists in emphasizing that, on a narrow construal, this necessity claim is refuted beyond appeal. However, I depart from the opinion presently prevailing in social choice theory in highlighting that on a broader construal, this claim proves not only compatible with, but even comforted by, the current state of the field. I submit that all in all, (...) the most accurate philosophical assessment consists not in flatly rejecting this necessity claim, but in accepting it in a suitably revised form. (shrink)

Translation into Portuguese of SEP entries on Philosophy of Economics.

Ahlak ve ilişkili konular, içinde bulunduğumuz dönemde psikolojinin çeşitli alt disiplinlerinin ortak ilgisi olarak görünüyor. Ahlaka artan bilimsel ilginin olası pek çok sebebi olabilir ancak günümüz toplumsal yaşamının pratik açıdan ahlakı anlamak, tanımlamak, tesis etmek ihtiyacı da meseleye ayrı bir boyut kazandırıyor. “Daha ahlaklı bir toplum mümkün mü ya da ahlaklı bireyleri en etkin nasıl yetiştiririz?” sorularını yanıtlamanın önündeki en önemli engel, ahlakın herkesçe mutabık kalınan evrensel bir çerçeveden yoksun olmasıdır. İşte bilimsel ilgi de bu noktada işlevsellik kazanıyor. Ayrıca zamanımıza (...) has bir sorun olmasa da göz hizamızda olan “insanın insana ettiğinin” tahammülü zor sonuçları, ahlaka daha güçlü bir gereksinim yaratıyor. Hem artan bilimsel ilgi hem de reel dünyanın ihtiyacı ile ahlak alanı artık belirli disiplinlerin kalıbına sığmamakta, ahlak psikolojisi, kökleri pek çok disipline uzanan bir ağaç misali toprağın üzerinden başını uzatmaktadır. Elbette ahlak psikolojisi tabiri de ahlak psikolojisi alanında bir eser ortaya koyma çabası da bu kitap ile ortaya çıkmadı. Türkiye’de psikoloji alanının öncülerinden olan ve ilk ahlak psikolojisi çalışmalarına imza atan merhum Prof. Dr. Erol Güngör’ün görev yaptığı Selçuk Üniversitesinde yıllar sonra yeniden psikoloji çalışmaları yürütülmesi, üstelik onun öncelikli çalışma alanı olan ahlak konusunun yeniden burada çalışılması gurur verici bir husus. Umuyoruz ki Necip Fazıl’ın dediği gibi “bu öksüz yapının ustada kalmamasına” mütevazı bir ölçüde de olsa bu eserle bir katkı yapmış olalım. Zira bir disiplin olarak ahlak psikolojisinin bu kurumsallaşma deneyiminde öncelikli ihtiyaçlarından biri de sistematik olarak psikoloji ve ahlak bağlantısını ele alarak konu ve kavramlarını tasnif edecek bir kitaptır. (shrink)

Financial sustainability of protected areas is one of the main challenges of management. Financial self-sufficiency is an important element in improving conservation effort in these areas. This study seeks to review best practices in recreational fee systems in different countries and to find a relevant entry fee for a wildlife sanctuary in Malaysia. The revenue of the National Elephant Conservation Center (NECC) in Kuala Gandah, Malaysia, comes from several sources, including the national government, but all these budgetary sources are strained (...) by tighter public budgets and greater demands. The present study investigates the introduction of visitor entrance fees to supplement an otherwise inadequate budget for supporting the operational costs of the sanctuary. Factor analysis and a double-bounded contingent valuation method were combined to estimate tourists' willingness to pay (WTP) the proposed entrance fee. Factor analysis showed that respondents' motivation to support the NECC with user fees is conditioned by their direct experiences with elephants, their satisfaction with NECC's educational programs and services, and other experiences it gives to users. The WTP model considered respondents' four motivation factors with their sociodemographic characteristics. Since NECC visitors arrive from both within and outside the country, this study suggests to center managers a two-tier fee structure (residents vs. nonresidents of Malaysia), based upon mean WTP estimates. This study further suggests that revenue from such an entrance fee for NECC could support the Center's management and development costs. © 2015 Elsevier B. (shrink)

Is an outcome where many people are saved and one person dies better than an outcome where the one is saved and the many die? According to the standard utilitarian justification, the former is better because it has a greater sum total of well-being. This justification involves a controversial form of moral aggregation, because it is based on a comparison between aggregates of different people's well-being. Still, an alternative justification—the Argument for Best Outcomes—does not involve moral aggregation. I extend the (...) Argument for Best Outcomes to show that any utilitarian evaluation can be justified without moral aggregation. (shrink)

Many fields (social choice, welfare economics, recommender systems) assume people express what benefits them via their 'revealed preferences'. Revealed preferences have well-documented problems when used this way, but are hard to displace in these fields because, as an information source, they are simple, universally applicable, robust, and high-resolution. In order to compete, other information sources (about participants' values, capabilities and functionings, etc) would need to match this. I present a conception of values as *attention policies resulting from constitutive judgements*, and (...) use it to build an alternative preference relation, Meaningful Choice, which retains many desirable features of revealed preference. (shrink)

This paper is about the role of interpersonal comparisons in Harsanyi's aggregation theorem. Harsanyi interpreted his theorem to show that a broadly utilitarian theory of distribution must be true even if there are no interpersonal comparisons of well-being. How is this possible? The orthodox view is that it is not. Some argue that the interpersonal comparability of well-being is hidden in Harsanyi's premises. Others argue that it is a surprising conclusion of Harsanyi's theorem, which is not presupposed by any one (...) of the premises. I argue instead that Harsanyi was right: his theorem and its weighted-utilitarian conclusion do not require interpersonal comparisons of well-being. The key to making sense of this possibility is to treat Harsanyi's weights as dimensional constants rather than dimensionless numbers. (shrink)

Matthew Adler's Measuring Social Welfare is an introduction to the social welfare function (SWF) methodology. This essay questions some ideas at the core of the SWF methodology having to do with the relation between the SWF and the measure of well-being. The facts about individual well-being do not single out a particular scale on which well-being must be measured. As with physical quantities, there are multiple scales that can be used to represent the same information about well-being; no one scale (...) is special. Like physical laws, the SWF and its ranking of distributions cannot depend on exactly which of these scales we use. Adler and other theorists in the SWF tradition have used this idea to derive highly restrictive constraints on the shape of the SWF. These constraints rule out seemingly plausible views about distributive justice and population ethics. I argue, however, that these constraints stem from a simple but instructive mistake. The SWF should not be applied to vectors of numbers such as 1 and 2, but rather to vectors of dimensioned quantities such as 1 util and 2 utils. This seemingly pedantic suggestion turns out to have far-reaching consequences. Unlike the orthodox SWF approach, treating welfare levels as dimensioned quantities lets us distinguish between real changes in well-being and mere changes in the unit of measurement. It does this without making the SWF depend on the scale on which welfare is measured, and in a way that avoids the restrictive constraints on the shape of the SWF. (shrink)

Степента на социлано равенство или неравенство е обсъдена от гледна точка на "цивилизационната парадигма" в ис торичта и нейната философия, конкретно в рамките на православната цивилизация. Налице са устойчиви доминанти, релевантни на "дългите периоди" или "бавните времена".

The Free Choice effect—whereby \\) seems to entail both \ and \—has traditionally been characterized as a phenomenon affecting the deontic modal ‘may’. This paper presents an extension of the semantic account of free choice defended by Fusco to the agentive modal ‘can’, the ‘can’ which, intuitively, describes an agent’s powers. On this account, free choice is a nonspecific de re phenomenon that—unlike typical cases—affects disjunction. I begin by sketching a model of inexact ability, which grounds a modal approach to (...) agency in a Williamson -style margin of error. A classical propositional semantics combined with this framework can reflect the intuitions highlighted by Kenny ’s dartboard cases, as well as the counterexamples to simple conditional views recently discussed by Mandelkern et al.. In Section 3, I turn to an independently motivated actual-world-sensitive account of disjunction, and show how it extends free choice inferences into an object language for propositional modal logic. (shrink)

W artykule tym przedstawiam koncepcję rozwoju autorstwa wybitnego nigeryjskiego myśliciela i demokraty Claude’a Akego. Ake zaproponował abstrakcyjny paradygmat rozwoju społeczeństw afrykańskich w warunkach demokracji. Paradygmat ten opiera się na rolnej strategii rozwoju, zgodnie z którą powinien być on uzyskiwany małymi krokami i pierwotnie generowany na wsi. Ake zdefiniował rozwój jako proces, „poprzez który ludzie kształtują i zmieniają siebie oraz swoją sytuację życiową, by osiągać wyższe poziomy cywilizacyjne, zgodnie z własnymi wyborami i wartościami”. Zdaniem nigeryjskiego myśliciela, rozwój jako proces zbiorowy powinien (...) być wytwarzany przez tych, którzy mają go doświadczać. Ake krytykował dominujący, jego zdaniem, zachodni paradygmat rozwoju Afryki, zgodnie z którym rozwój może zostać narzucony Afrykanom z zewnątrz, a demokratyczna władza wcale nie musi stanowić warunku sine qua non rozwoju. W opinii Akego, zachodnie próby zintensyfikowania rozwoju w Afryce, które cechował brak zrozumienia dla afrykańskich uwarunkowań kulturowych, w tym sposobów myślenia i życia Afrykanów, skończyły się porażką. Koncepcja Akego, choć ciekawa i poparta ważnymi argumentami oraz przykładami, nie jest wolna od uogólnień i sprzeczności. Co więcej, jak się wydaje, nigeryjski myśliciel zaprezentował model rozwoju bliski autarkii i wyzuty z realiów współczesnej ekonomii. W konsekwencji krytycznie oceniam część opinii Akego i ukazuję podstawowe, moim zdaniem, ich mankamenty. (shrink)

Inspired by impossibility theorems of social choice theory, many democratic theorists have argued that aggregative forms of democracy cannot lend full democratic justification for the collective decisions reached. Hence, democratic theorists have turned their attention to deliberative democracy, according to which “outcomes are democratically legitimate if and only if they could be the object of a free and reasoned agreement among equals” (Cohen 1997a, 73). However, relatively little work has been done to offer a formal theory of democratic deliberation. This (...) article helps fill that gap by offering a formal theory of three different modes of democratic deliberation: myopic discussion, constructive discussion, and debate. We show that myopic discussion suffers from indeterminacy of long run outcomes, while constructive discussion and debate are conclusive. Finally, unlike the other two modes of deliberation, debate is path independent and converges to a unique compromise position, irrespective of the initial status quo. (shrink)

We present a number of modal logics to reason about group norms. As a preliminary step, we discuss the ontological status of the group to which the norms are applied, by adapting the classification made by Christian List of collective attitudes into aggregated, common, and corporate attitudes. Accordingly, we shall introduce modality to capture aggregated, common, and corporate group norms. We investigate then the principles for reasoning about those types of modalities. Finally, we discuss the relationship between group norms and (...) types of collective responsibility. (shrink)

Over the last 30 years the Indian philosopher-economist Amartya Sen has developed an original normative approach to the evaluation of individual and social well-being. The foundational concern of this ‘capability approach’ is the real freedom of individuals to achieve the kind of lives they have reason to value. This freedom is analysed in terms of an individual’s ‘capability’ to achieve combinations of such intrinsically valuable ‘beings and doings’ (‘functionings’) as being sufficiently nourished and freely expressing one’s political views. In this (...) account, ‘development’ is conceived as the expansion of individuals’ capability, and thus as a concept that goes beyond the economic growth of third world countries. My thesis is a philosophical examination of Sen’s capability approach. In the first part (chapters 1-3) I present and defend my interpretation of Sen’s work. (shrink)

O sistema político brasileiro preenche, formalmente, os requisitos mínimos de uma poliarquia, ou seja, um sistema democrático em que o poder é atribuído com base em eleições livres e em que há ampla participação política e concorrência pelos cargos eletivos. Esse sistema implica disputa pelo poder, tolerância à diversidade de opiniões e oposição política. No entanto, o que se percebe na sociedade é que essa estrutura formal não garante a democratização dos recursos socialmente produzidos, como bens, direitos e serviços básicos (...) proporcionados pelo Estado. Assim, destaca-se que a questão democrática vai além do estabelecimento das regras formais que caracterizam esse tipo de regime. É necessário retomar o conteúdo social da democracia e ampliar os direitos de cidadania para reduzir a distância entre as esferas formal e real1 ; afinal, a cidadania plena é condição indispensável para a concretização dos direitos humanos. A estruturação dos direitos de cidadania no Brasil esteve constantemente vinculada aos interesses das elites socioeconômicas e políticas; poucas vezes foi resultado de um projeto com ampla participação política e voltada para a inclusão social. Com base nessa constatação, o historiador José Murilo de Carvalho 2 desenvolveu uma teoria de que vivemos em uma “estadania”, pois muitos de nossos direitos seriam resultantes de uma “concessão” relativa do Estado, feita de cima para baixo a uma população muitas vezes desinteressada da “coisa pública”. Dessa forma, os direitos costumam ser vistos como concessões ou benefícios oferecidos pelos grupos dominantes ao restante da população. Ainda de acordo com o autor, a construção da cidadania no Brasil inverteu a ordem cronológica apontada por T. H. Marshall, uma vez que primeiro foram estabelecidos os direitos sociais e ampliados os direitos políticos, durante o período ditatorial do Estado Novo, para depois serem implementados os direitos civis, o que gerou a formação de uma pirâmide invertida dos direitos. Já o cientista político carioca Wanderley Guilherme dos Santos utiliza o conceito de “cidadania regulada” para identificar a concessão dos direitos por parte do Estado como maneira de mediar possíveis conflitos entre classes. Nesse caso, o Estado controlaria os grupos sociais por meio de práticas regulatórias, que variam entre o aumento da participação (proporção de indivíduos que possuem acesso aos direitos) e a redução da liberalização (capacidade das instituições sociais de garantir a consolidação dos direitos). Aqui, o governo Vargas deve ser mencionado, uma vez que Santos cita, como políticas desse período, a criação das leis trabalhistas e o controle dos sindicatos. Como consequência, a classe trabalhadora conquistou direitos, mas perdeu poder de contestação. No entanto, identifica-se na história do Brasil alguns momentos em que as mobilizações políticas ganharam destaque, em geral tendo como referência a luta por direitos sociais e liberdade. Com base em um conjunto de práticas repressivas, a ditadura militar, iniciada em 1964, impôs um retrocesso à construção da democracia e dos direitos humanos no país. E foi então que movimentos populares e sindicais do campo e da cidade passaram a exigir distribuição justa dos bens produzidos pelo trabalho e maior participação social nas decisões sobre os rumos adotados pelo país. Além disso, foi pela resistência à ditadura e durante a redemocratização formal do Brasil que diversos grupos se fortaleceram para as lutas subsequentes em prol dos direitos humanos. Em meio ao processo de redemocratização, foi promulgada a Constituição Federal de 1988, que contou com destacada participação social em sua elaboração e incorporou diversas reivindicações populares, sobretudo no campo das liberdades civis e políticas. A constituição brasileira estabelece alguns mecanismos de participação política, como o plebiscito, o referendo e a iniciativa popular (artigo 14), para garantir, ao menos no âmbito formal, a democracia participativa. Outro exemplo é o orçamento participativo, modelo em que os cidadãos, por meio de uma complexa ferramenta de gestão pública, participam da elaboração e da fiscalização do orçamento, principal instrumento de distribuição dos recursos públicos. Outro momento de mobilização política de nossa história recente foram as jornadas de junho, que aconteceram em 2013, nas quais parte da população saiu às ruas para lutar pela efetivação de alguns direitos, como transporte público de qualidade e gratuito, e para questionar o funcionamento da democracia. A socióloga fluminense Maria Victoria Benevides chama de democracia semidireta as formulações institucionais firmadas pela Constituição de 1988. O objetivo do modelo participativo de democracia proposto pela Constituição não é “substituir” o sistema representativo, mas possibilitar a conscientização social, essencial para a efetivação da cidadania, que só é possível com uma participação política permanente, plena e ativa de todos os cidadãos. Contudo, a Constituição ainda apresenta muitas limitações, em especial no que se refere às dimensões social e econômica. Nessas dimensões residem os principais obstáculos à construção e à concretização dos direitos humanos e da cidadania na vida social brasileira. Na verdade, há grande diferença entre a cidadania formal e a cidadania real no Brasil. A cidadania formal é a que está presente nas leis, imprescindível para a liberdade e para as garantias individuais; sem ela, estaríamos à mercê da vontade de qualquer grupo dominante. Ou seja, ela garante igualdade de todos perante a lei. Já a cidadania real, aquela do dia a dia, mostra justamente o contrário, isto é, que não existe igualdade entre os seres humanos e que prevalece a desigualdade em todas as dimensões da sociedade. Apesar da luta de diferentes setores da sociedade, principalmente aqueles ligados às minorias sociais, no dia a dia percebemos que a maioria da população tem seus direitos desrespeitados. Portanto, apesar de existirem formalmente, a democracia, a cidadania e os direitos ainda são bastante restritos. Podemos dizer que o Brasil é uma democracia em construção, em todos os sentidos. O rumo e o alcance que ela terá vão depender da participação da população brasileira, em especial da juventude, nas lutas pela implantação dos direitos humanos para todos os cidadãos. (shrink)

Condorcet's famous jury theorem reaches an optimistic conclusion on the correctness of majority decisions, based on two controversial premises about voters: they are competent and vote independently, in a technical sense. I carefully analyse these premises and show that: whether a premise is justi…ed depends on the notion of probability considered; none of the notions renders both premises simultaneously justi…ed. Under the perhaps most interesting notions, the independence assumption should be weakened.

A standard liberal claim is that freedom of choice is not only instrumentally valuable but also intrinsically valuable, that is, valuable for its own sake. I argue that each one of five conditions is plausible if freedom of choice is intrinsically valuable. Yet there exists a counter-example to the conjunction of these conditions. Hence freedom of choice is not intrinsically valuable.

My aim in this paper is to explain what Condorcet’s jury theorem is, and to examine its central assumptions, its significance to the epistemic theory of democracy and its connection with Rousseau’s theory of general will. In the first part of the paper I will analyze an epistemic theory of democracy and explain how its connection with Condorcet’s jury theorem is twofold: the theorem is at the same time a contributing historical source, and the model used by the authors to (...) this day. In the second part I will specify the purposes of the theorem itself, and examine its underlying assumptions. Third part will be about an interpretation of Rousseau’s theory, which is given by Grofman and Feld relying on Condorcet’s jury theorem, and about criticisms of such interpretation. In the fourth, and last, part I will focus on one particular assumption of Condorcet’s theorem, which proves to be especially problematic if we would like to apply the theorem under real-life conditions; namely, the assumption that voters choose between two options only. (shrink)

Democratic decision-making is often defended on grounds of the ‘wisdom of crowds’: decisions are more likely to be correct if they are based on many independent opinions, so a typical argument in social epistemology. But what does it mean to have independent opinions? Opinions can be probabilistically dependent even if individuals form their opinion in causal isolation from each other. We distinguish four probabilistic notions of opinion independence. Which of them holds depends on how individuals are causally affected by environmental (...) factors such as commonly perceived evidence. In a general theorem, we identify causal conditions guaranteeing each kind of opinion independence. These results have implications for whether and how ‘wisdom of crowds’ arguments are possible, and how truth-conducive institutions can be designed. (shrink)

A group is often construed as one agent with its own probabilistic beliefs (credences), which are obtained by aggregating those of the individuals, for instance through averaging. In their celebrated “Groupthink”, Russell et al. (2015) require group credences to undergo Bayesian revision whenever new information is learnt, i.e., whenever individual credences undergo Bayesian revision based on this information. To obtain a fully Bayesian group, one should often extend this requirement to non-public or even private information (learnt by not all or (...) just one individual), or to non-representable information (not representable by any event in the domain where credences are held). I pro- pose a taxonomy of six types of ‘group Bayesianism’. They differ in the information for which Bayesian revision of group credences is required: public representable information, private representable information, public non-representable information, etc. Six corre- sponding theorems establish how individual credences must (not) be aggregated to ensure group Bayesianism of any type, respectively. Aggregating through standard averaging is never permitted; instead, different forms of geometric averaging must be used. One theorem—that for public representable information—is essentially Russell et al.’s central result (with minor corrections). Another theorem—that for public non-representable information—fills a gap in the theory of externally Bayesian opinion pooling. (shrink)

Liberal democracies encourage citizen participation and protect our freedoms, yet these regimes elect politicians and decide important issues with electoral and legislative systems that are less inclusive than other arrangements. Some citizens inevitably have more influence than others. Is this a problem? Yes, because similarly just but more inclusive systems are possible. Political theorists and philosophers should be arguing for particular institutional forms, with particular geographies, consistent with justice. -/- Les démocraties libérales encouragent la participation citoyenne et protègent nos libertés. (...) Pourtant, ces régimes élisent des politiciens et décident de problèmes importants via les systèmes électoral et législatif, qui sont moins inclusifs que d’autres arrangements. Certains citoyens ont inévitablement plus d’influence que d’autres. Est-ce un problème? Oui, parce que des systèmes similairement justes, mais plus inclusifs, sont possibles. Les théoriciens et philosophes politiques devraient ainsi plaider en faveur de formes institutionnelles particulières, aux géographies précises, en cohérence avec la justice. (shrink)

In his 2010 paper “Philosophical Naturalism and Intuitional Methodology”, Alvin I. Goldman invokes the Condorcet Jury Theorem in order to defend the reliability of intuitions. The present note argues that the original conditions of the theorem are all unrealistic when analysed in connection to the case of intuitions. Alternative conditions are discussed.

How can different individuals' probability functions on a given sigma-algebra of events be aggregated into a collective probability function? Classic approaches to this problem often require 'event-wise independence': the collective probability for each event should depend only on the individuals' probabilities for that event. In practice, however, some events may be 'basic' and others 'derivative', so that it makes sense first to aggregate the probabilities for the former and then to let these constrain the probabilities for the latter. We formalize (...) this idea by introducing a 'premise-based' approach to probabilistic opinion pooling, and show that, under a variety of assumptions, it leads to linear or neutral opinion pooling on the 'premises'. This paper is the second of two self-contained, but technically related companion papers inspired by binary judgment-aggregation theory. (shrink)

As the ongoing literature on the paradoxes of the Lottery and the Preface reminds us, the nature of the relation between probability and rational acceptability remains far from settled. This article provides a novel perspective on the matter by exploiting a recently noted structural parallel with the problem of judgment aggregation. After offering a number of general desiderata on the relation between finite probability models and sets of accepted sentences in a Boolean sentential language, it is noted that a number (...) of these constraints will be satisfied if and only if acceptable sentences are true under all valuations in a distinguished non-empty set W. Drawing inspiration from distance-based aggregation procedures, various scoring rule based membership conditions for W are discussed and a possible point of contact with ranking theory is considered. The paper closes with various suggestions for further research. (shrink)

If a group is modelled as a single Bayesian agent, what should its beliefs be? I propose an axiomatic model that connects group beliefs to beliefs of group members, who are themselves modelled as Bayesian agents, possibly with different priors and different information. Group beliefs are proven to take a simple multiplicative form if people’s information is independent, and a more complex form if information overlaps arbitrarily. This shows that group beliefs can incorporate all information spread over the individuals without (...) the individuals having to communicate their (possibly complex and hard-to-describe) private information; communicating prior and posterior beliefs sufices. JEL classification: D70, D71.. (shrink)

Assuming that votes are independent, the epistemically optimal procedure in a binary collective choice problem is known to be a weighted supermajority rule with weights given by personal log-likelihood-ratios. It is shown here that an analogous result holds in a much more general model. Firstly, the result follows from a more basic principle than expected-utility maximisation, namely from an axiom (Epistemic Monotonicity) which requires neither utilities nor prior probabilities of the ‘correctness’ of alternatives. Secondly, a person’s input need not be (...) a vote for an alternative, it may be any type of input, for instance a subjective degree of belief or probability of the correctness of one of the alternatives. The case of a profile of subjective degrees of belief is particularly appealing, since here no parameters such as competence parameters need to be known. (shrink)

Imagine a group that faces a decision problem but does not agree on which decision procedure is appropriate. In that case, can a decision be reached that respects the procedural concerns of the group? There is a sense in which legitimate decisions are possible even if people disagree on which procedure to use. I propose to decide in favour of an option which maximizes the number of persons whose judged-right procedure happens to entail this decision given the profile. This decision (...) rule is based not only ona profile in the standard sense, but in addition on a profile of judged-right procedures. To justify this decision rule, I present a set of simple axioms leading to it as the only solution. (shrink)

In a single framework, I address the question of the informational basis for evaluating social states. I particularly focus on information about individual welfare, individual preferences and individual (moral) judgments, but the model is also open to any other informational input deemed relevant, e.g. sources of welfare and motivations behind preferences. In addition to proving some possibility and impossibility results, I discuss objections against using information about only one aspect (e.g. using only preference information). These objections suggest a multi-aspect informational (...) basis for aggregation. However, the multi-aspect approach faces an impossibility result created by a lack of inter-aspect comparability. The impossibility could be overcome by measuring information on non-cardinal scales. (shrink)

The papers published in this special issue can fairly be unified under the heading “Epistemic Democracy,” but there is more variety among them than this might indicate. They exhibit the broad range of ways in which epistemological considerations are figuring in contemporary philosophical discussions of democracy. The authors range from young and promising to established and distinguished. I'd like to introduce a few of the issues that run through the papers, sprinkling references to the actual papers along the way. From (...) the beginning, democratic forms of government have included discussion and debate. In real life the value of democracy can hardly be separated from the value of free public discussion, prior to voting, about the issues and candidates. This is not to say that either the discussion or the vote have always been inspiring, but whatever value democracy is thought to have, it seems inseparable from public political discussion. One way of accounting for the value of the discussion is to suppose that voters exchange reasons (not always cooperatively) about what to do. Even a quick look at the content of political debate seems to confirm that it is mostly about which decision would be best for the country or city whose laws or leaders are in question. (shrink)

How can democratic governments be relied upon to achieve adequate political knowledge when they turn over their authority to those of no epistemic distinction whatsoever? This deep and longstanding concern is one that any proponent of epistemic conceptions of democracy must take seriously. While Condorcetian responses have recently attracted substantial interest, they are largely undermined by a fundamental neglect of agenda-setting. I argue that the apparent intractability of the problem of epistemic adequacy in democracy stems in large part from a (...) failure to appreciate the social character of political knowledge. A social point of view brings into focus a number of vital factors that bear on our understanding of democratic epistemology and our assessment of its prospects: the essential role of inclusive deliberation, the public's agenda-setting function, institutional provisions for policy feedback, the independence of expert communities, and the knowledge-pooling powers of markets. (shrink)

A conception of legitimacy is at the core of normative theories of democracy. Many different conceptions of legitimacy have been put forward, either explicitly or implicitly. In this article, I shall first provide a taxonomy of conceptions of legitimacy that can be identified in contemporary democratic theory. The taxonomy covers both aggregative and deliberative democracy. I then argue for a conception of democratic legitimacy that takes the epistemic dimension of public deliberation seriously. In contrast to standard interpretations of epistemic democracy, (...) however, the conception I put forward avoids procedure-independent standards of correctness. Instead, it relies on a procedural social epistemology and defines legitimacy entirely in terms of the fairness of procedures. I call this conception of democratic legitimacy `Pure Epistemic Proceduralism'. I shall argue that it should be preferred over `Rational Epistemic Proceduralism', the conception of legitimacy that underlies the standard interpretation of epistemic democracy. Key Words: legitimacy • deliberative democracy • epistemic democracy • social epistemology. (shrink)

This paper develops and explores a new framework for theorizing about the measurement and aggregation of well-being. It is a qualitative variation on the framework of social welfare functionals developed by Amartya Sen. In Sen’s framework, a social or overall betterness ordering is assigned to each profile of real-valued utility functions. In the qualitative framework developed here, numerical utilities are replaced by the properties they are supposed to represent. This makes it possible to characterize the measurability and interpersonal comparability of (...) well-being directly, without the use of invariance conditions, and to distinguish between real changes in well-being and merely representational changes in the unit of measurement. The qualitative framework is shown to have important implications for a range of issues in axiology and social choice theory, including the characterization of welfarism, axiomatic derivations of utilitarianism, the meaningfulness of prioritarianism, the informational requirements of variable-population ethics, the impossibility theorems of Arrow and others, and the metaphysics of value. (shrink)

Multidimensional concepts are everywhere, and they are important. Examples include moral value, welfare, scientific confirmation, democracy, and biodiversity. How, if at all, can we aggregate the underlying dimensions of a multidimensional concept F to yield verdicts about which things are Fer than which overall? Social choice theory can be used to model and investigate this aggregation problem. Here, we focus on a particularly thorny problem made salient by this social choice-theoretic framework: the underlying dimensions of a given concept might be (...) measurable on different types of scales—e.g., some ordinal and some cardinal. An underappreciated impossibility theorem due to Anna Khmelnitskaya shows that seemingly plausible constraints on aggregation across scale types are inconsistent. This impossibility threatens to render the notion of overall Fness incoherent. We attempt to defuse this threat, arguing that the impossibility depends on an overly restrictive conception of measurement and of how measurement constrains aggregation. Adopting a more flexible—and, we think, more perspicuous—conception of measurement opens an array of possibilities for aggregation across disparate scale types. (shrink)

Are interpersonal comparisons of desire possible? Can we give an account of how facts about desires are grounded, that underpins such comparisons? This paper supposes the answer to the first question is yes, and provides an account of the nature of desire that explains how this is so. The account is a modification of the interpretationist metaphysics of representation that the author has recently been developing. The modification is to allow phenomenological affective valence into the “base facts” on which correct (...) interpretation is grounded. To use this extra resource within that theory to vindicate interpersonal comparisons, we will need to appeal rational connections between level of valence and level of desire, which this paper sets out and examines. (shrink)

Extensive measurement is the standard measurement-theoretic approach for constructing a ratio scale. It involves the comparison of objects that can be concatenated in an additively representable way. This paper studies the implications of extensively measurable welfare for social choice theory. We do this in two frameworks: an Arrovian framework with a fixed population and no interpersonal comparisons, and a generalized framework with variable populations and full interpersonal comparability. In each framework we use extensive measurement to introduce novel domain restrictions, independence (...) conditions, and constraints on social evaluation. We prove a welfarism theorem for these domains and characterize the social welfare functions that satisfy the axioms of extensive measurement at both the individual and social levels. The main results are simple axiomatizations of strong dictatorship in the Arrovian framework and classical utilitarianism in the generalized framework. (shrink)

Tsui and Weymark (Economic Theory, 1997) have shown that the only continuous social welfare orderings on the whole Euclidean space which satisfy the weak Pareto principle and are invariant to individual-specific similarity transformations of utilities are strongly dictatorial. Their proof relies on functional equation arguments which are quite complex. This note provides a simpler proof of their theorem.

It has been claimed that deliberation is capable of overcoming so- cial choice theory impossibility results, by bringing about single- peakedness. Our aim is to better understand the relationship be- tween single-peakedness and collective justifications of preferences.

In this paper, first the term 'prioritarianism' is defined, with some mathematical precision, on the basis of intuitive conceptions of prioritarianism, especially the idea that "benefiting people matters more the worse off these people are". (The prioritarian weighting function is monotonously ascending and concave, while its first derivation is smoothly descending and convex but positive throughout.) Furthermore, (moderate welfare) egalitarianism is characterized. In particular a new symmetry condition is defended, i.e. that egalitarianism evaluates upper and lower deviations from the social (...) middle symmetrically and equally negatively (as do e.g. variance and Gini). Finally, it is shown that this feature distinguishes egalitarianism also extensionally from prioritarianism. (shrink)

The article develops an internalist justification of welfare ethics based on empathy. It takes up Hume’s and Schopenhauer’s internalistic (but not consistently developed) justification approach via empathy, but tries to solve three of their problems: 1. the varying strength of empathy depending on the proximity to the object of empathy, 2. the unclear metaethical foundation, 3. the absence of a quantitative model of empathy strength. 1. As a solution to the first problem, the article proposes to limit the foundation of (...) welfare ethics to certain types of empathy. 2. In response to the second problem, an internalistic metaethical conception of the justification of moral principles is outlined, the result of which is: The moral value of the well-being of persons is identical to the expected extent of (positive and negative) empathy arising from this well-being. 3. The contribution to the solution of the third problem and focus of the article is an empirical model of the (subject’s) expected extent of empathy depending on (an object’s) well-being. According to this model, the extent of empathy is not proportional to the expected empathy, but follows a concave function and is therefore prioritarian. Accordingly, the article provides a sketch of an internalist justification of prioritarianism. (shrink)

In normative political theory, it is widely accepted that democracy cannot be reduced to voting alone, but that it requires deliberation. In formal social choice theory, by contrast, the study of democracy has focused primarily on the aggregation of individual opinions into collective decisions, typically through voting. While the literature on deliberation has an optimistic flavour, the literature on social choice is more mixed. It is centred around several paradoxes and impossibility results identifying conflicts between different intuitively plausible desiderata. In (...) recent years, there has been a growing dialogue between the two literatures. This paper discusses the connections between them. Important insights are that (i) deliberation can complement aggregation and open up an escape route from some of its negative results; and (ii) the formal models of social choice theory can shed light on some aspects of deliberation, such as the nature of deliberation-induced opinion change. (shrink)

Legg and Hutter, as well as subsequent authors, considered intelligent agents through the lens of interaction with reward-giving environments, attempting to assign numeric intelligence measures to such agents, with the guiding principle that a more intelligent agent should gain higher rewards from environments in some aggregate sense. In this paper, we consider a related question: rather than measure numeric intelligence of one Legg- Hutter agent, how can we compare the relative intelligence of two Legg-Hutter agents? We propose an elegant answer (...) based on the following insight: we can view Legg-Hutter agents as candidates in an election, whose voters are environments, letting each environment vote (via its rewards) which agent (if either) is more intelligent. This leads to an abstract family of comparators simple enough that we can prove some structural theorems about them. It is an open question whether these structural theorems apply to more practical intelligence measures. (shrink)

Peer reviewers at many funding agencies and scientific journals are asked to score submissions both on individual criteria and overall. The overall scores should be some kind of aggregate of the criteria scores. Carole Lee identifies this as a potential locus for bias to enter the peer review process, which she calls commensuration bias. Here I view the aggregation of scores through the lens of social choice theory. I argue that, when reviewing grant proposals, it is in many cases impossible (...) to avoid commensuration bias. (shrink)

Riker (1982) famously argued that Arrow’s impossibility theorem undermined the logical foundations of “populism”, the view that in a democracy, laws and policies ought to express “the will of the people”. In response, his critics have questioned the use of Arrow’s theorem on the grounds that not all configurations of preferences are likely to occur in practice; the critics allege, in particular, that majority preference cycles, whose possibility the theorem exploits, rarely happen. In this essay, I argue that the critics’ (...) rejoinder to Riker misses the mark even if its factual claim about preferences is correct: Arrow’s theorem and related results threaten the populist’s principle of democratic legitimacy even if majority preference cycles never occur. In this particular context, the assumption of an unrestricted domain is justified irrespective of the preferences citizens are likely to have. (shrink)

A computer simulation is used to study collective judgements that an expert panel reaches on the basis of qualitative probability judgements contributed by individual members. The simulated panel displays a strong and robust crowd wisdom effect. The panel's performance is better when members contribute precise probability estimates instead of qualitative judgements, but not by much. Surprisingly, it doesn't always hurt for panel members to interpret the probability expressions differently. Indeed, coordinating their understandings can be much worse.

What is the relationship between degrees of belief and binary beliefs? Can the latter be expressed as a function of the former—a so-called “belief-binarization rule”—without running into difficulties such as the lottery paradox? We show that this problem can be usefully analyzed from the perspective of judgment-aggregation theory. Although some formal similarities between belief binarization and judgment aggregation have been noted before, the connection between the two problems has not yet been studied in full generality. In this paper, we seek (...) to fill this gap. The paper is organized around a baseline impossibility theorem, which we use to map out the space of possible solutions to the belief-binarization problem. Our theorem shows that, except in limiting cases, there exists no belief-binarization rule satisfying four initially plausible desiderata. Surprisingly, this result is a direct corollary of the judgment-aggregation variant of Arrow’s classic impossibility theorem in social choice theory. (shrink)

By introducing elements of phenomenological philosophy to the analysis of human needs in economics; from Sartrean postulates as well as the nature and essence of individual’s needs, has been revealed a theorethical framework that serves to ponder human being’s existential behavior by means of their phenomenologic social choices and welfare. Defining a planning agent under strong assumptions of rationality and projective efficacious capabilities, the Arrow’s theorem has been proved for the economic agent aware of its finitude in this world.