There is a long tradition of fruitful interaction between logic and social choice theory. In recent years, much of this interaction has focused on computer-aided methods such as SAT solving and interactive theorem proving. In this paper, we report on the development of a framework for formalizing voting theory in the Lean theorem prover, which we have applied to verify properties of a recently studied voting method. While previous applications of interactive theorem proving to social choice (...) have focused on the verification of impossibility theorems, we aim to cover a variety of results ranging from impossibility theorems to the verification of properties of specific voting methods. In order to formalize voting theoretic axioms concerning adding or removing candidates and voters, we work in a variable-election setting whose formalization makes use of dependent types in Lean. (shrink)

Voting Advice Applications (VAAs) are interactive online tools designed to assist voters by improving the basis on which they decide how to vote. In recent years, they have been widely adopted, but their design is the subject of ongoing and often heated criticism. Most of these debates focus on whether VAAs accurately measure the standpoints of political parties and the preferences of users and on whether they report valid results while avoiding political bias. It is generally assumed that if (...) their methodology is sound, then VAAs can be seen as strengthening the democratic process. But as we argue in this chapter, the setup of VAAs raises basic questions of normative democratic theory as well. Insofar as VAAs are supposed to improve the functioning of the democratic process, it must be clarified in what sense they aim to make a contribution, before it even makes sense to discuss their effectiveness at doing so. -/- VAAs are often intended to enhance the democratic process by one or all of the following: (I) informing voters about the policy standpoints of political parties (or individual candidates), (2) increasing voter turnout, and (3) ensuring that the composition of parliaments more accurately reflects the political attitudes of the electorate. In the next three sections, we discuss three central bones of contention in current democratic theory that are crucial to these ways in which VAAs typically take themselves to contribute to strengthening the democratic process: -/- 1. Questions about citizen competence: What forms of competence do citizens need to have, and to what extent, for a democracy to function properly? -/- 2. Questions about political participation: What forms and extent of participation are vital to democracy? -/- 3. Questions about democratic representation: How should the relation between the elected and the electorate be understood? -/- For each issue we aim to show, first, how the design and setup of mainstream VAAs are tacitly structured by a specific conception of the democratic aim at issue and, second, what some alternative positions on these questions are within contemporary political theory. In the final section, we will discuss some of the implications of this analysis for the responsibilities of VAA developers, and particularly for the procedural neutrality to which they are typically committed. Our conclusion will be that once these issues are identified, developers of VAAs should either argue in favour of their views on democratic competence, participation and representation, or they should rethink the design of VA As in ways that move beyond their current assumptions, or both. (shrink)

I demonstrate that a set of well-known objections defeat John Stuart Mill’s plural voting proposal, but do not defeat plural voting as such. I adopt the following as a working definition of political equality: a voting system is egalitarian if and only if departures from a baseline of equally weighted votes are normatively permissible. I develop an alternative proposal, called procedural plural voting, which allocates plural votes procedurally, via the free choices of the electorate, rather than (...) according to a substantive standard of competence. The alternative avoids standards objections to Mill’s proposal. Moreover, reflection on the alternative plural voting scheme disrupts our intuitions about what counts as an egalitarian voting system. Undue emphasis on Mill’s version of plural voting obscures three important reasons to reject plural voting in favor of strictly egalitarian voting systems: that certain choices that generate inequalities of political power are morally impermissible; that even... (shrink)

We examine collective decision-making in a jury voting game under the unanimity rule when voters have ambiguous beliefs. Unlike in existing studies (Ellis in Theoretical Economics 11:865–895, 2016; Fabrizi et al., in: AUT Economics Working Paper, 2021; Ryan in Theory and Decision 90:543–577, 2021), the locus of ambiguity is the likelihood function (signal precision) rather than the prior. This significantly alters the properties of symmetric equilibria. While prior ambiguity may induce multiple equilibria (Fabrizi et al., in: AUT Economics (...) Working Paper, 2021; Ryan in Theory and Decision 90:543–577, 2021) we show that, under likelihood ambiguity, there exists a unique non-trivial symmetric responsive equilibrium that takes the same form as in the absence of ambiguity (Feddersen and Pesendorfer in The American Political Science Review 92:23–35, 1998). Moreover, likelihood ambiguity partially offsets the pernicious effects of pivotality on decision quality: the frequency of Type I error (convicting the innocent) is typically lower than in the absence of ambiguity. (shrink)

Max Albert has recently argued that the theory of power indices “should not ... be considered as part of political science” and that “[v]iewed as a scientific theory, it is a branch of probability theory and can safely be ignored by political scientists”. Albert’s argument rests on a particular claim concerning the theoretical status of power indices, namely that the theory of power indices is not a positive theory, i.e. not one that has falsifiable implications. (...) I re-examine the theoretical status of power indices and argue that it would be unwise for political scientists to ignore such indices. Although I agree with Albert that the theory of power indices is not a positive theory, I suggest that it is a theory of measurement that can usefully supplement other positive and normative socialscientific theories. (shrink)

Much of the theoretical work on strategic voting makes strong assumptions about what voters know about the voting situation. A strategizing voter is typically assumed to know how other voters will vote and to know the rules of the voting method. A growing body of literature explores strategic voting when there is uncertainty about how others will vote. In this paper, we study strategic voting when there is uncertainty about the voting method. We introduce (...) three notions of manipulability for a set of voting methods: sure, safe, and expected manipulability. With the help of a computer program, we identify voting scenarios in which uncertainty about the voting method may reduce or even eliminate a voter's incentive to misrepresent her preferences. Thus, it may be in the interest of an election designer who wishes to reduce strategic voting to leave voters uncertain about which of several reasonable voting methods will be used to determine the winners of an election. (shrink)

In judgment aggregation, unlike preference aggregation, not much is known about domain restrictions that guarantee consistent majority outcomes. We introduce several conditions on individual judgments su¢ - cient for consistent majority judgments. Some are based on global orders of propositions or individuals, others on local orders, still others not on orders at all. Some generalize classic social-choice-theoretic domain conditions, others have no counterpart. Our most general condition generalizes Sen’s triplewise value-restriction, itself the most general classic condition. We also prove a (...) new characterization theorem: for a large class of domains, if there exists any aggregation function satisfying some democratic conditions, then majority voting is the unique such function. Taken together, our results provide new support for the robustness of majority rule. (shrink)

This paper provides a philosophical critique of social choice theory insofar as it deals with the normative evaluation of voting and voting rules. I will argue that the very method of evaluating voting rules in terms of whether they satisfy various conditions is deeply problematic because introducing strategic behaviour leads to a violation of any condition that makes a difference between voting rules. I also argue that it is legitimate to make interpersonal comparisons of utilities (...) in voting theory. Combining a realistic account of voters’ behaviour with a utilitarian evaluation of the outcomes then leads to the judgment that strategic voting is beneficial. If it is, then Arrow's theorem does not have far-reaching consequences for democracy because one of its conditions is not normatively acceptable. (shrink)

I assume that voters mark ballots exclusively to express their true preferences among parties, leaving aside any considerations about an election’s possible outcome. The paper then analyzes the resulting voting behavior. In particular, it studies how effective different voting systems such as plurality rule, approval voting, and range voting are in fostering high turnout rates of such expressive voters.

In his 2007 Ethics article, “Responsibility Incorporated,” Philip Pettit argued that corporations qualify as morally responsible agents because they possess autonomy, normative judgment, and the capacity for self-control. Although there is ongoing debate over whether corporations have these capacities, both proponents and opponents of corporate moral agency appear to agree that Pettit correctly identified the requirements for moral agency. In this article, I do not take issue with either the claim that autonomy, normative judgment, and self-control are the requirements for (...) moral agency or the claim that corporations possess them. I claim that if both of these claims are correct, then corporate moral agency entails that, in a liberal democracy, corporations should have the right to vote. I show that under the conception of democracy supported by most liberal political theorists, all parties subject to the law are entitled to the right to vote, and all parties that possess autonomy, normative judgment, and self-control are subject to the law. Therefore, if the proponents of corporate moral agency are correct, then corporations satisfy the requirements for the right to vote. I then consider potential objections to this argument. I show that the strongest objection to the corporate right to vote is undermined by Pettit’s own argument for corporate autonomy. I then show that objections derived from other arguments for limiting the rights of corporations are equally unavailing. I conclude with some observations about the implications of my argument for the question of corporate speech rights. (shrink)

In 1970, Stewart advocated disenfranchising everyone reaching retirement age or age 70, whichever was earlier. The question of whether senior citizens should be disenfranchised has recently come to the fore due to votes on issues such as Brexit and climate change. Indeed, there is a growing literature which argues that we should increase the voting power of non-senior citizens relative to senior citizens, for reasons having to do with intergenerational justice. Thus, it seems that there are reasons of justice (...) to disenfranchise senior citizens, or at least to grant them a lower voting weight than non-senior citizens. In this paper, we investigate whether there are democratic reasons to do so. To answer this question, we turn to the boundary problem in democratic theory, i.e., the question of who should be included in democratic decision-making. Two prominent solutions, and a more recent one, are particularly relevant: the all-affected principle, the all-subjected principle, and the relational egalitarian principle. When it comes to the all-affected principle and the all-subjected principle, we argue that there is reason to grant most senior citizens a lower voting weight than most non-senior citizens in most decisions. Whether that is the case on the relational egalitarian principle depends on how people relate to each other in society. Indeed, it is sometimes in accordance with the relational egalitarian view to grant senior citizens a greater voting weight than non-senior citizens. (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.

This article considers two of the methodological steps in a Community of Philosophical Enquiry: developing the questions and voting on the questions. Both of these practices are enacted by the 8-9 year old children who are the participants in a philosophical enquiry, which I facilitated at a government primary school in South Africa. Matthews (1994) reminds us that children as philosophical thinkers/doers have been left out of the dominant narratives about children and childhood. A question that guides this research (...) is where is the place for philosophical questions (developed by children) and the kind of philosophical thinking/drawing/creating/being for child (and adults) in schools? How do we make space for such questioning–so that the richness of these pedagogical encounters can really matter and make a difference to the teaching and learning taking place? Gandorfer in an interview with Barad (2021), suggests that critical thought “is to encounter what is unrecognizable and imperceptible, yet sensible and constructive of sense without separating it from the physical world” (p. 20). I would agree and apply this to the critical thoughts of child. This thinking is not located in the child, in their mind and does not emerge only through the thoughts, child verbalises. A critical posthumanism theory/practice analysis ensures that as researcher, I do not stand outside of the research peering in at a distance. Similarly the children, the questions, the voting and the enquiries are not separate from the world, they are all already entangled with the world. When the children are voting on the questions, this performs as a pedagogy of interruption (Michaud, 2020). As the facilitator, I do not know which question will receive the largest number of votes for the philosophical enquiry. This makes possible an emergent curriculum in its be(com)ing. Toby Rollo’s (2016) formulations about child as political agent and not just moral agent and the implications for more democratic and just schooling are theorised in this paper through the act of the children voting on the questions. I argue that children are not just excluded from participating in decisions about what and even how they are learning at school but from most pedagogical practices in classrooms and schools. I show how the children creating the questions and voting on the questions can be democratic practices with political and moral implications in a community of philosophical enquiry. (shrink)

How to handle vagueness? One way is to introduce the machinery of acceptable sharpenings, and reinterpret truth as truth-in-all-sharpenings or truth-in-some-sharpenings. A major selling point has been the conservativism of the resulting systems with respect to classical theoremhood and inference. Supervaluationism and subvaluationism possess interesting formal symmetries, a fact that has been used to argue for the subvaluationist approach. However, the philosophical motivation behind each is a different matter. Subvaluationism comes with a standard story that is difficult to sign up (...) to. In this paper, I make use of a variant of Putnam’s well-known idea of linguistic deference, and some results in voting theory, to answer this criticism of subvaluationism. The acceptability intuitions of each member of a linguistic community amount to their voting for one or more acceptable sharpenings, with truth then characterised as truth-in-a--sufficiency-of-sharpenings. This produces a family of logical systems that are close relations of subvaluationism, share its conservatism results, yet have stronger philosophical foundations in the workings of externalist content. (shrink)

Is voting a duty of democratic citizenship? This article advances a new argument for the existence of a duty to vote. It argues that every normative account of electoral representation requires universal turnout to function in line with its own internal normative logic. This generates a special obligation for citizens to vote in electoral representative contexts as a function of the role morality of democratic citizenship. Because voting uniquely authorizes office holding in representative democracies, and because universal turnout (...) contributes powerfully to representation being fair, to be a good citizen of such democracies requires one to vote. Whereas previous arguments for a duty to vote have invoked basic moral principles like fairness or a Samaritan duty of rescue, this account is based on citizens occupying a vital functional role within electoral representative institutions. This institutional duty solves the “specificity problem” of justifying a duty to vote better than competing accounts and also immunizes the duty to objections that there is no duty to vote when there are only bad choices and that there is a no duty to vote but rather duty to vote well. By emphasizing the tight connection between institutions and individual conduct, the role morality approach used here supplies a less abstract and more realistic framework than much previous research on the ethics of democratic citizenship and brings the debate closer to constitutive features of democratic politics. (shrink)

The ethics of voting is a new field of academic research, uniting debates in ethics and public policy, democratic theory and more empirical studies of politics. A central question in this emerging field is whether or not voters should be legally required to vote. This chapter examines different arguments on behalf of compulsory voting, arguing that these do not generally succeed, although compulsory voting might be justified in certain special cases. However, adequately specifying the forms of (...) voluntary voting that are consistent with democratic norms is likely to be philosophically complex and politically controversial. (shrink)

The research reported here was the first empirical examination of strategic voting under the Sequential Voting by Veto (SVV) voting procedure, proposed by Mueller (1978). According to this procedure, a sequence of n voters must select s out of s+m alternatives (m=n=2; s>0). Hence, the number of alternatives exceeds the number of participants by one (n+1). When the ith voter casts her vote, she vetoes the alternative against which a veto has not yet been cast, and the (...) s remaining non-vetoed alternatives are elected. The SVV procedure invokes the minority principle, and it has advantages over all majoritarian procedures; this makes SVV a very desirable means for relatively small groups to make collective decisions. Felsenthal and Machover (1992) pointed out three models of voting under SVV: sincere, optimal, and canonical. The current research investigated, through laboratory experiments, which cognitive model better accounts for the voters' observed behavior and the likelihood of obtaining the optimal outcome as a function of the size of n (when s=1). The findings suggest that while voters under SVV use all three models, their choice is conditioned by group size. In the small groups (n=3), the canonical mode was a better predictor than the sincere model. In the larger groups (n=5), the sincere model was a better predictor than the canonical model. There is also evidence of players' learning during the experiment. (shrink)

In their article, Geoffrey Brennan and Loren Lomasky present an alternative to market theories of voting behavior. Contrary to market theories which view the voter as acting to maximize the expected self-interest, the alternative view sees voting as fundamentally an act of self-expression: “Voting, like speech, is an expressive activity providing an outlet for one's moral sentiments. We suggest that it is the expressive return to a vote that frequently determines the behavior of individuals in large-number electorates.”.

Scholars exploring the logic of Rousseau's voting rules have typically turned to the connection between Rousseau and the Marquis de Condorcet. Though Condorcet could not have had a direct influence on Rousseau's arguments about the choice of decision rules in "Social Contract," the possibility of a connection has encouraged the view that Rousseau's selection of voting rules was based on epistemic reasons. By turning to alternative sources of influence on Rousseau--the work of Hugo Grotius and particularly that of (...) Samuel Pufendorf--a moral, and not purely epistemic, logic of rules governing collective decision making emerges. For Rousseau, as for Pufendorf, the proper choice of voting rule can elicit the appropriate attitude of an individual with respect to the decision of the whole, and can support the morally significant activity of acknowledging error upon discovering that one has voted against the general will. (shrink)

Weighted voting involves weighting representatives’ votes by the populations that they represent. Such systems have been adopted in some legislative bodies as a remedy for malapportionment, and are sometimes used to elect candidates for the executive branch of government. But they receive little attention. This note observes the neglected vices of weighted voting systems: they violate intuitive conditions of monotonicity and participation. These vices count significantly against the use of weighted voting, and reflecting on why they arise (...) improves our understanding of axioms in social choice theory. (shrink)

Mathematical theory of voting and social choice has attracted much attention. In the general setting one can view social choice as a method of aggregating individual, often conflicting preferences and making a choice that is the best compromise. How preferences are expressed and what is the “best compromise” varies and heavily depends on a particular situation. The method we propose in this paper depends on expressing individual preferences of voters and specifying properties of the resulting ranking by means (...) of first-order formulas. Then, as a technical tool, we use methods of second-order quantifier elimination to analyze and compute results of voting. We show how to specify voting, how to compute resulting rankings and how to verify voting protocols. (shrink)

We characterize two lexicographic-type preference extension rules from a set X to the set ? of all orders on this set. Elements of X are interpreted as basic economic policy decisions, whereas elements of ? are conceived as political programs among which a collectivity has to choose through majority voting. The main axiom is called tournament-consistency, and states that whenever majority pairwise comparisons based on initial preferences on X define an order on X, then this order is also chosen (...) by a majority among all other orders in ?. Tournament-consistency thus allows to predict the outcome of majority voting upon orders from the knowledge of majority preferences on their components. (shrink)

This review of Madhav Kkhosla’s book, India’s Founding Moment, sees his approach as one of “best lights” understandings, that is, an effort to identify and explain the conceptual underpinnings of India’s founding constitution in their best lights. Khosla emphasizes as key the ways in which the constitution’s requirements of full adult suffrage, its intense specificity of language, and its strongly centralized government form, all contribute conceptually to the creation of the democratic citizen of India—a citizen whose rights across the country (...) were secured by a common constitution and central government, whose knowledge of and ability to exercise rights were enhanced by the constitution’s codified approach, and a citizen whose capacities to participate in democratic processes would be developed by the exercise of democratic rights. The review focuses attention on choices about suffrage, comparing India’s with the less inclusionary founding impulses of the United States constitution. It explores nuances of how codification would and would not promote exercises of citizenship rights, noting the importance of adjudication in the construction of the “common knowledge” to which the founders aspired. And the review argues that today, as more illiberal, authoritarian regimes are on the rise, the book’s emphasis on the importance of ideas, words, and common knowledge in constructing liberal, democratic politics is of urgent contemporary importance. (shrink)

Both vote buying and tax-cut promises are attempts to manipulate voters through cash incentives in order to win elections, but only vote buying is illegal. Should we extend the ban on vote buying to tax-cut promises? This article will argue for three conclusions. The first is that tax-cut promises should be understood as a form of vote buying. The second is that campaign promises are a form of vote buying. The third conclusion is that campaign promises, including tax-cut promises, should (...) not be banned. An important distinction is drawn between enforceable wrongful incentives and unenforceable wrongful incentives. The difference between vote buying and tax-cut promises is not wrongfulness but enforceability. (shrink)

A common criticism of plurality voting is that it fails to reflect the degree of intensity with which voters prefer the candidate or policy that they vote for. To rectify this, many critics of plurality voting have argued that vote buying should be allowed. Persons with more intense preferences for a candidate could buy votes from persons with less intense preferences for the opposing candidate and then cast them for the candidate that they intensely support. This paper argues (...) that instead of better reflecting voters’ weighted preferences, vote buying will lead to electoral outcomes that reflect them less accurately. (shrink)

This paper explores ethical issues raised by quadratic voting. We compare quadratic voting to majority voting from two ethical perspectives: the perspective of utilitarianism and that of democratic theory. From a utilitarian standpoint, the comparison is ambiguous: if voter preferences are independent of wealth, then quadratic voting out- performs majority voting, but if voter preferences are polarized by wealth, then majority voting may be superior. From the standpoint of democratic theory, we argue (...) that assess- ments in terms of efficiency are too narrow. Voting institutions and political institutions more generally face a legitimacy requirement. We argue that in the presence of inequalities of wealth, any vote buying mechanism, including quadratic voting, will have a difficult time meeting this requirement. (shrink)

In explaining the outcome of the 2016 EU referendum in the United Kingdom, can theories emphasizing the importance of economic factors be reconciled with the fact that many people appeared to vote against their economic self-interest? This article approaches this puzzle through case study research that draws on fieldwork and a process of reciprocal knowledge exchange with local communities in five local authorities in England and Wales. It argues that the Leave vote can be attributed partly to political discontent associated (...) with trajectories of relative economic decline and deindustrialization. Building on the growing literature about the role of narratives and discourses in navigating uncertainty, it contends that these localized economic experiences, interpreted through local-level narratives, paved the way for local-level discourses of resilience and nationwide optimistic messaging about the economic impacts of Brexit to resonate. Local and national-level discourses discounting the potential economic costs of leaving the European Union played a crucial role in giving precise, somewhat paradoxical, political content to the sense of discontent. The article contributes to the growing focus on place and community in understanding political behavior and invites further research on local discourses linking macro-level trajectories and micro-level voting decisions. (shrink)

Are there any prima facie reasons that democracies might have for disenfranchising older citizens? This question reflects increasingly salient, but often incompletely theorized complaints that members of democratic publics advance about older citizens’ electoral influence. Rather than rejecting these complaints out of hand, we explore whether, suitably reconstructed, they withstand democratic scrutiny. More specifically, we examine whether the account of political equality that seems to most fittingly capture the logic of these complaints – namely, equal opportunity of political influence over (...) electoral outcomes – can justify disenfranchising older citizens. We conclude that equal opportunity of influence cannot ground a blanket disenfranchisement of older people and that, taken in conjunction with other general considerations that apply to all sound electoral policies, partial disenfranchisement proposals (i.e. proposals for reducing the electoral influence of older citizens via age-weighted voting) are both quasi-inapplicable and practically unrobust across a relevant range of political contexts. (shrink)

In mass democracies, voting—in elections or referendums—is the main way in which most citizens can publicly express their political preferences. And yet this means of expression is sometimes perceived by them as highly frustrating, partly because it does not allow for much expression. Dominant voting methods lead to a reduction of options, pressure citizens to vote tactically at the cost of expressing their genuine preferences, and fail to convey what they really think about different candidates, parties, or options. (...) Yet citizens do not merely have a right to vote; they have a more fundamental right to political expression from which one can derive a right to a voting method that offers the most opportunities for expression among those satisfying other important requirements. The aim of this article is therefore to add this consideration about the importance of political expression to debates about voting methods that have mainly been conducted from the perspective of social choice theory. To illustrate what is at stake, it introduces evaluative voting methods (allowing voters to grade all of the candidates, parties, or options) as a promising way of honoring the right to political expression without jeopardizing other important properties of voting methods. (shrink)

In social choice theory with ordinal preferences, a voting method satisfies the axiom of positive involvement if adding to a preference profile a voter who ranks an alternative uniquely first cannot cause that alternative to go from winning to losing. In this note, we prove a new impossibility theorem concerning this axiom: there is no ordinal voting method satisfying positive involvement that also satisfies the Condorcet winner and loser criteria, resolvability, and a common invariance property for Condorcet (...) methods, namely that the choice of winners depends only on the ordering of majority margins by size. (shrink)

Many collective decision making problems have a combinatorial structure: the agents involved must decide on multiple issues and their preferences over one issue may depend on the choices adopted for some of the others. Voting is an attractive method for making collective decisions, but conducting a multi-issue election is challenging. On the one hand, requiring agents to vote by expressing their preferences over all combinations of issues is computationally infeasible; on the other, decomposing the problem into several elections on (...) smaller sets of issues can lead to paradoxical outcomes. Any pragmatic method for running a multi-issue election will have to balance these two concerns. We identify and analyse the problem of generating an agenda for a given election, specifying which issues to vote on together in local elections and in which order to schedule those local elections. (shrink)

The ideal of publicity plays an important role in contemporary legal and political philosophy. Yet, to date, it has not been brought to bear on the question of voting method choice. This paper aims to fix this. I argue that voting method publicity is a well-motivated requirement which reveals tradeoffs inherent to democracy between procedural and epistemic equality. I further explore the implications of voting method publicity to the normative status of plurality voting and its possible (...) alternatives. (shrink)

In voting theory, monotonicity is the axiom that an improvement in the ranking of a candidate by voters cannot cause a candidate who would otherwise win to lose. The participation axiom states that the sincere report of a voter’s preferences cannot cause an outcome that the voter regards as less attractive than the one that would result from the voter’s non-participation. This article identifies three binary distinctions in the types of circumstances in which failures of monotonicity or participation (...) can occur. Two of the three distinctions apply to monotonicity, while one of those and the third apply to participation. The distinction that is unique to monotonicity is whether the voters whose changed rankings demonstrate non-monotonicity are better off or worse off. The distinction that is unique to participation is whether the marginally participating voter causes his first choice to lose or his last choice to win. The overlapping distinction is whether the profile of voters’ rankings has a Condorcet winner or a cycle at the top. This article traces the occurrence of all of the resulting combination of characteristics in the voting methods that can exhibit failures of monotonicity. (shrink)

The literature on counterspeech has been debating how institutions and citizens should respond to offensive or dangerous communicative acts. This article identifies a gap in this debate, namely, the lack of attention paid to the individual vote in large-scale democratic elections as an effective act of distancing from candidates who use explicitly derogatory forms of expression to unify and mobilize supporters. In studying the place of voting in the ethics of counterspeech, this article investigates what counterspeakers can expect other (...) counterspeakers to do in large-scale democratic elections framed as a vote for or against hateful representatives. I argue that even in large-scale elections, the individual act of voting, understood as a contribution to increasing the clarity of the indicators of force of a collectivized speech act, can be an effective form of counterspeech. Voting is one of the first forms of counterspeech that must be taken so that other, and perhaps more controversial, actions can stand criticism on moral grounds. For this reason, I also argue that counterspeakers can expect other counterspeakers to contribute to an electoral outcome that, under certain circumstances, can be received as a vote against representatives who use explicit derogatory forms of expression to gain consensus. (shrink)

It is a platitude among decision theorists that agents should choose their actions so as to maximize expected value. But exactly how to define expected value is contentious. Evidential decision theory (henceforth EDT), causal decision theory (henceforth CDT), and a theory proposed by Ralph Wedgwood that this essay will call benchmark theory (BT) all advise agents to maximize different types of expected value. Consequently, their verdicts sometimes conflict. In certain famous cases of conflict—medical Newcomb problems—CDT and (...) BT seem to get things right, while EDT seems to get things wrong. In other cases of conflict, including some recent examples suggested by Andy Egan, EDT and BT seem to get things right, while CDT seems to get things wrong. In still other cases, EDT and CDT seems to get things right, while BT gets things wrong. It's no accident, this essay claims, that all three decision theories are subject to counterexamples. Decision rules can be reinterpreted as voting rules, where the voters are the agent's possible future selves. The problematic examples have the structure of voting paradoxes. Just as voting paradoxes show that no voting rule can do everything we want, decision-theoretic paradoxes show that no decision rule can do everything we want. Luckily, the so-called “tickle defense” establishes that EDT, CDT, and BT will do everything we want in a wide range of situations. Most decision situations, this essay argues, are analogues of voting situations in which the voters unanimously adopt the same set of preferences. In such situations, all plausible voting rules and all plausible decision rules agree. (shrink)

Transitive proxy voting (or "liquid democracy") is a novel form of collective decision making, often framed as an attractive hybrid of direct and representative democracy. Although the ideas behind liquid democracy have garnered widespread support, there have been relatively few attempts to model it formally. This paper makes three main contributions. First, it proposes a new social choice-theoretic model of liquid democracy, which is distinguished by taking a richer formal perspective on the process by which a voter chooses a (...) proxy. Second, it examines the model from an axiomatic perspective, proving (a) a proxy vote analogue of May's Theorem and (b) an impossibility result concerning monotonicity properties in a proxy vote setting. Third, it explores the topic of manipulation in transitive proxy votes. Two forms of manipulation specific to the proxy vote setting are defined, and it is shown that manipulation occurs in strictly more cases in proxy votes than in classical votes. (shrink)

Panels, boards, and committees throughout society evaluate all manner of things by grading them, first individually and then collectively. Thus risks are prioritized, research proposals are funded, and candidates are shortlisted for jobs. It is not usual to pick winners in political elections by grading the candidates, but there are examples in history. This article takes up a question about the quality of judgments and decisions made by grading: under which conditions are they likely to be right? An answer comes (...) in the form of a jury theorem for median grading. Here, the collective grade for a thing is the median of its individually assigned grades—the one in the middle, when all of them are listed from "top" to "bottom." A second objective of this article is to suggest a solution to problems of voter ignorance in democracies. The idea is for democratic assemblies to use voting methods that make more of people's limited knowledge than do commonly used methods, such as majority voting. It turns out that in theory anyway, and perhaps also in practice, median grading can enable unenlightened assemblies to “track the truth”—even as majority voting would run them off the rails. (shrink)

Some philosophers have recently argued that decision-makers ought to take normative uncertainty into account in their decisionmaking. These philosophers argue that, just as it is plausible that we should maximize expected value under empirical uncertainty, it is plausible that we should maximize expected choice-worthiness under normative uncertainty. However, such an approach faces two serious problems: how to deal with merely ordinal theories, which do not give sense to the idea of magnitudes of choice-worthiness; and how, even when theories do give (...) sense to magnitudes of choice-worthiness, to compare magnitudes of choice-worthiness across different theories. Some critics have suggested that these problems are fatal to the project of developing a normative account of decision-making under normative uncertainty. The primary purpose of this article is to show that this is not the case. To this end, I develop an analogy between decision-making under normative uncertainty and the problem of social choice, and then argue that the Borda Rule provides the best way of making decisions in the face of merely ordinal theories and intertheoretic incomparability. (shrink)

By employing binary committee choice problems, this paper investigates how varying or eliminating feedback about payoffs affects: subjects’ learning about the underlying relationship between their nominal voting weights and their expected payoffs in weighted voting games; the transfer of acquired learning from one committee choice problem to a similar but different problem. In the experiment, subjects choose to join one of two committees and obtain a payoff stochastically determined by a voting theory. We found that: subjects (...) learned to choose the committee that generates a higher expected payoff even without feedback about the payoffs they received; there was statistically significant evidence of “meaningful learning” only for the treatment with no payoff-related feedback. This finding calls for re-thinking existing models of learning to incorporate some type of introspection. (shrink)

In this paper, we offer the spanish translation with notes of three treatises of Ramon Llull : Artificium electionis personarum, the chapter XXIV of book II from Llibre d’Evast, d’Aloma e de Blaquerna named «En qual manera Natana fo eleta a abadessa» and De arte electionis. These three texts show a new election technique supported on the Ars magna methods. The translations are preceded by a short introduction explaining the place that such texts occupy in the whole lullian opus and (...) the advances of recents investigations. (shrink)

Several prominent, contemporary theories of actual causation maintain that in order for something to count as an actual cause (in the circumstances) of some known effect, the potential cause must be a difference-maker with respect to the effect in some restricted range of circumstances. Although the theories disagree about how to restrict the range of circumstances that must be considered in deciding whether something counts as an actual cause of a known effect, the theories agree that at least some counterfactual (...) circumstances must be considered. I argue that the theories are still too permissive in the range of counterfactual circumstances they admit for consideration, and I present simple counter-examples that make use of this overpermissiveness. (shrink)

Previous work by Diffo Lambo and Moulen [Theory and Decision 53, 313–325 (2002)] and Felsenthal and Machover [The Measurement of Voting Power, Edward Elgar Publishing Limited (1998)], shows that all swap preserving measures of voting power are ordinally equivalent on any swap robust simple voting game. Swap preserving measures include the Banzhaf, the Shapley–Shubik and other commonly used measures of a priori voting power. In this paper, we completely characterize the achievable hierarchies for any such (...) measure on a swap robust simple voting game. Each possible hierarchy can be induced by a weighted voting game and we provide a constructive proof of this result. In particular, the strict hierarchy is always achievable as long as there are at least five players. (shrink)