Social Choice Theory

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".

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 well-known objection to prioritarianism, famously levelled by Mike Otsuka and Alex Voorhoeve, is that it wrongly ignores the unity of the individual in treating intra-personal cases like inter-personal cases. In this paper we accept that there should be a moral shift between these cases, but argue that this is because autonomy is a relevant consideration in intra-personal but not inter-personal cases, and one to which pluralist prioritarians ought to attend. To avoid this response, Otsuka and Voorhoeve must assume we (...) know nothing about the subjective information of the person being chosen for. But we show that this commits them to two controversial assumptions: that welfare consists in an objective list of goods, and – if one accepts an unorthodox but plausible account of the relationship between risk aversion and rationality – that there is only a narrow range of rational risk aversions. Only prioritarians who accept both these assumptions are on the hook of Otsuka and Voorhoeve’s objection; for all others, the examples have insufficient information, and so lose their sting. (shrink)

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)

The main criticism to the aggregation of individual preferences under majority rules refers to the possibility of reaching inconsistent collective decisions from the election process. In these cases, the collective preference includes cycles and even could prevent the election of any alternative as the collective choice. The likelihood of consistent outcomes under a class of majority rules constitutes the aim of this paper. Specifically, we focus on majority rules that require certain consensus in individual preferences to declare an alternative as (...) the winner. Under majorities based on difference of votes, the requirement asks to the winner alternative to obtain a difference in votes with respect to the loser alternative taking into account that individuals are endowed with weak preference orderings. Same requirement is asked to the restriction of these rules to individual linear preferences. (shrink)

The agents of a jury have to decide between a good and a bad option through simple majority voting. In this paper the jury consists of N independent couples. Each couple consists of two correlated agents of the same competence level. Different couples may have different competence levels. In addition, each agent is assumed to be better than completely random guessing. We prove tight lower and upper bounds for the quality of the majority decision. The lower bound is the same (...) as the competence of majority voting of N independent agents. The upper bound cases for negatively correlated couples can be much better than the value for 2N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2 \, N$$\end{document} independent agents. (shrink)

A standard formulation of luck-egalitarianism says that ‘it is [in itself] bad – unjust and unfair – for some to be worse off than others [through no fault or choice of their own]’, where ‘fault or choice’ means substantive responsibility-generating fault or choice. This formulation is ambiguous: one ambiguity concerns the possible existence of a gap between what is true of each worse-off individual and what is true of the group of worse-off individuals, fault or choice-wise, the other concerns the (...) notion of fault. I show that certain ways of resolving these ambiguities lead to counterintuitive results; and that the most plausible way of resolving them leads to a theory of distributive justice in which responsibility plays a role significantly different from that in standard luck-egalitarian thinking. My main conclusion here is that luck-egalitarianism is best formulated as the view that it is [in itself] bad – unjust and unfair – for an individual to be worse off than others if, and only if, her being worse off does not fit the degree to which she is at fault in a not purely prudential sense. (shrink)

In 1970 Amartya Sen exposed an apparent antinomy that has come to be known as the Paradox of the Paretian Libertarian. Sen introduced his paradox by establishing a simple but startling theorem. Roughly put, what he proved was that if a mechanism for selecting social choice functions satisfies two standard adequacy conditions, there are possible situations in which it will violate either the very weak libertarian precept that every individual has at least some rights or the seemingly innocuous Paretian principle (...) that an option should be judged unacceptable if there is an available alternative that everyone prefers to it. Many economists and philosophers have proposed solutions to Sen's problem, but there is no general consensus on what solution is correct. In the present paper I argue that Sen's original theorem fails to establish the existence of any conflict between libertarianism and Paretianism. Furthermore, I contend that Sen has misinterpreted certain other theorems which he has used to defend the existence of a paradoxical conflict between these two doctrines. In general, I try to show that whenever Sen posits a Paretian-libertarian conflict to explain an apparently troubling result in social choice theory, the difficulty can be better dealt with either by claiming that the theorem in question imposes overly strong background constraints on the form of social choice functions or by claiming that it relies on an unacceptable construal of individual rights. (shrink)

How is a person's freedom related to his or her preferences? Liberal theorists of negative freedom have generally taken the view that the desire of a person to do or not do something is irrelevant to the question of whether he is free to do it. Supporters of the “pure negative” conception of freedom have advocated this view in its starkest form: they maintain that a person is unfree to Φ if and only if he is prevented from Φ-ing by (...) the conduct or dispositions of some other person. This definition of freedom is value-neutral in the sense that no reference is made to preferences over options or indeed to any other indicators of the values of options, either in the characterization of “Φ-ing” itself or in the characterization of the way in which Φ-ing can be constrained. (shrink)

It is commonplace to suppose that the theory of individual rational choice is considerably less problematic than the theory of collective rational choice. In particular, it is often assumed by philosophers, economists, and other social scientists that an individual's choices among outcomes accurately reflect that individual's underlying preferences or values. Further, it is now well known that if an individual's choices among outcomes satisfy certain plausible axioms of rationality or consistency, that individual's choice-behavior can be interpreted as maximizing expected utility (...) on a utility scale that is unique up to a linear transformation. Hence, there is, in principle, an empirically respectable method of measuring individuals' values and a single unified schema for explaining their actions as value maximizing. (shrink)

In this paper I investigate the possibility of a dictatorship in the context of Harsanyi's Social Aggregation Theorem. Preliminarily, some propositions about Harsanyi's Theorem are presented using an alternative principle that I name Quasi-strong Pareto, which is the latter part of Strong Pareto. Then I define dictatorship as a requirement that social preference agrees with a dictator's preference or those of members of dictatorial group even if their preferences strictly contradict those of all other people in the society. Conclusively, although (...) in each version of Harsanyi's Theorem with Pareto Indifference, Weak Preference Pareto or Weak Pareto the social utility function may have a form of dictatorship, however if individuals' vNM utility functions are all 'individualistic' and Quasi-strong Pareto is satisfied, then the dictatorship is excluded. (shrink)

I argue that individuals may be as problematic political agents as groups are. In doing so, I draw on theory from economics, philosophy, and computer science and evidence from psychology, neuroscience, and biology. If successful, this argument undermines agency-based justifications for embracing strong notions of individual rights while rejecting the possibility of similar rights for groups. For concreteness, I critique these mistaken views by rebutting arguments given by Chandran Kukathas in his article `Are There Any Cultural Rights?' that groups lack (...) the temporal coherence, political independence, and indivisibility of individuals. I also show how formal critiques of group agency from social science can be applied as reasonably to individuals as groups. Because these symmetries between groups and individuals undermine common implicit assumptions in political philosophy, I argue that they may have broader implications for liberal political theory, as they emphasize the importance of intrapersonal justice. (shrink)

An allocation problem is a type of aggregation problem in which the values of individuals' opinions on some set of variables sum to a constant. This paper shows that for realistic allocation problems, namely ones in which the set of possible opinion values is finite, the only universal aggregation methods that satisfy two commonly invoked conditions are the dictatorial ones. The two conditions are, first, that the aggregate opinion on any variable depends only on the individuals' opinions on that variable (...) and not on their opinions on any other variable and, secondly, that the aggregate opinion minimally preserves unanimous individual opinion. Connections between this result and similar ones in the literature on judgment aggregation are explored and their significance assessed.Send article to KindleTo send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.REALISTIC OPINION AGGREGATION: LEHRER-WAGNER WITH A FINITE SET OF OPINION VALUESVolume 9, Issue 2R. Bradley and C. WagnerDOI: https://doi.org/10.1017/epi.2012.2Your Kindle email address Please provide your Kindle email.@free.kindle.com@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. REALISTIC OPINION AGGREGATION: LEHRER-WAGNER WITH A FINITE SET OF OPINION VALUESVolume 9, Issue 2R. Bradley and C. WagnerDOI: https://doi.org/10.1017/epi.2012.2Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. REALISTIC OPINION AGGREGATION: LEHRER-WAGNER WITH A FINITE SET OF OPINION VALUESVolume 9, Issue 2R. Bradley and C. WagnerDOI: https://doi.org/10.1017/epi.2012.2Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

The term “rationality” is applied to many different things, from beliefs and preferences to decisions and choices, actions and behaviors, people, collectivities, andinstitutions. Therefore this paper will limit its considerations only to social preferences and choices in order to clarify the role of rationality in social explanation. The paper will focus on degrees of rationality, calling upon the concept of transitivity for help.

Professor Kenneth J. Arrow is one of the most distinguished economic theorists. He has played a major role in shaping the subject and is honoured by the publication of three volumes of essays on economic theory. Each volume deals with a different area of economic theory. The books include contributions by some of the best economic theorists from the United States, Japan, Israel and Europe.

Antonio Quesada (Public Choice 130:395–400, 2007) argues that a dictator has no more than two to three times the ‘average power’ of a non-dictatorial voter. If Quesada is correct, then his argument has major consequences for social choice theory; for instance, it warrants reconsidering the significance of Arrow’s Theorem. If Quesada is incorrect, however, then his position is dangerously misleading. This paper argues that Quesada is wrong. His argument depends on his own formal account of power, an account that is (...) implausible because it disregards a basic insight common to the standard characterisations of voting power: the idea that one has power over an outcome to the extent that one is able to change that outcome. Claims about power have a counterfactual component; to assert that an individual actually has determined an outcome is also to make an assertion about what would have been the case had that individual acted differently. We can employ David Lewis’s influential account of counterfactuals to show, contra Quesada, that in a dictatorship, nondictatorial individuals and groups cannot possibly determine a social preference. In short, Quesada is fundamentally mistaken about power, and thus also about the distribution of power in a dictatorship. (shrink)

My focus is on aggregation of individual value rankings of alternatives to a collective value ranking. This is compared with aggregation o individual prefrences to a collective preference. While in an individual preference ranking the alternatives are ordered in accordance with one’s preferences, the order in a value ranking expresses one’s comparative evaluation of the alternatives, from the best to the worst. I suggest that, despite their formal similarity as rankings, this difference in the nature of individual inputs in two (...) aggregation scenarios has important implications: The kind of procedure that looks fine for aggregation of judgments is inappropriate for aggregation of preferences. The procedure I have in mind consists in similarity maximization, or – more precisely – in minimization of the average distance from individual inputs. When applied to judgment aggregation, this procedure can also be approached from the epistemic perspective: the questions are posed concerning its advantages as a truth-tracker. From that perspective, what matters is not only the probability of the outcome of the procedure being true, but also the expected verisimilitude of the outcome: its expected distance from truth. (shrink)

Combines a theoretical interest in the mathematics of voting procedures with practical interest in the circumstances in which votes are cast. The most important results in the theory of voting are surveyed, and the differences between the principal types of voting procedures are explained.

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)

This paper argues that standard theories of judgment aggregation cannot apply to scientific practice, since science is a temporally extended process that involves both different individuals and different hypotheses during that process. Thus, for example, we seem to have no idea how to determine the judgments of dead scientists about theoretical alternatives that were proposed after their death. The paper then proposes an algorithm for judgment aggregation to try to address some of these challenges.

In this paper, we show that Arrow’s well-known impossibility theorem is instrumental in bringing the ongoing discussion about verisimilitude to a more general level of abstraction. After some preparatory technical steps, we show that Arrow’s requirements for voting procedures in social choice are also natural desiderata for a general verisimilitude definition that places content and likeness considerations on the same footing. Our main result states that no qualitative unifying procedure of a functional form can simultaneously satisfy the requirements of Unanimity, (...) Independence of irrelevant alternatives and Non-dictatorship at the level of sentence variables. By giving a formal account of the incompatibility of the considerations of content and likeness, our impossibility result makes it possible to systematize the discussion about verisimilitude, and to understand it in more general terms. (shrink)

This is a collection of Isaac Levi's philosophical papers. Over the period represented by the work here, Professor Levi has developed an interrelated set of views, in the tradition of Peirce and Dewey, on epistemology and the philosophy of science and social science. This focus has been on the problem of induction and the growth of knowledge, the foundations of probability and the theory of rational decision-making. His most important essays in these areas are assembled here, with an introduction setting (...) out their main themes and connections. As a whole the volume presents a coherent, elaborated position which will be of great interest to a range of philosophers, decision theorists, welfare and social choice theorists and cognitive scientists. (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.

This paper explores the role that difference plays in collective decision-making using the Condorcet jury theorem. Agents facing a dichotomous decision might prove biased toward one of the options facing them. That is, they may be more likely to decide correctly when one of the options is correct than when the other option is. A juror might be more likely to convict a guilty defendant than to acquit an innocent one. Agents may display opposing biases. This paper identifies the optimal (...) committee composition in the presence of such bias. This composition depends upon both the prior probability that each option is correct and the relative costs of the two types of possible error. Optimal committee composition will be expressed in terms of the absolute margin that a group with one form of bias should enjoy over the other. (shrink)

The Condorcet jury theorem (CJT) is based on the assumption of homogeneous voters who imperfectly know the correct policy. We reassess the validity of the CJT when voters are homogeneous and each knows the correct decision with an average probability of more than a half.