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Proportional representation plays a crucial role in electoral systems. In ordinal elections, where voters rank candidates based on their preferences, the Single Transferable Vote (STV) is the most widely used proportional voting method. STV…

Computer Science and Game Theory · Computer Science 2025-05-02 Tuva Bardal , Markus Brill , David McCune , Jannik Peters

The capability to widely sample the state and action spaces is a key ingredient toward building effective reinforcement learning algorithms. The variational optimization principles exposed in this paper emphasize the importance of an…

Machine Learning · Computer Science 2022-05-25 Emmanuel Daucé

Differential equations (DEs) are commonly used to describe dynamic systems evolving in one (ordinary differential equations or ODEs) or in more than one dimensions (partial differential equations or PDEs). In real data applications the…

Methodology · Statistics 2013-11-25 Gianluca Frasso , Jonathan Jaeger , Philippe Lambert

A proposed measure of voting power should satisfy two conditions to be plausible: first, it must be conceptually justified, capturing the intuitive meaning of what voting power is; second, it must satisfy reasonable postulates. This paper…

Theoretical Economics · Economics 2022-05-18 Arash Abizadeh , Adrian Vetta

When learning policies for real-world domains, two important questions arise: (i) how to efficiently use pre-collected off-policy, non-optimal behavior data; and (ii) how to mediate among different competing objectives and constraints. We…

Machine Learning · Computer Science 2019-03-22 Hoang M. Le , Cameron Voloshin , Yisong Yue

In this paper we study several monotonicity axioms in approval-based multi-winner voting rules. We consider monotonicity with respect to the support received by the winners and also monotonicity in the size of the committee. Monotonicity…

Computer Science and Game Theory · Computer Science 2019-02-25 Luis Sánchez-Fernández , Jesús A. Fisteus

Spatial voting models of legislators' preferences are used in political science to test theories about their voting behavior. These models posit that legislators' ideologies as well as the ideologies reflected in votes for and against a…

Applications · Statistics 2024-02-27 Erin Lipman , Scott Moser , Abel Rodriguez

The computational study of elections generally assumes that the preferences of the electorate come in as a list of votes. Depending on the context, it may be much more natural to represent the list succinctly, as the distinct votes of the…

Computer Science and Game Theory · Computer Science 2021-06-25 Zack Fitzsimmons , Edith Hemaspaandra

How can voters induce politicians to put forth more proximate (in terms of preference) as well as credible platforms (in terms of promise fulfillment) under repeated elections? Building on the work of Aragones et al. (2007), I study how…

Theoretical Economics · Economics 2025-09-11 Shiladitya Kumar

The classic Gibbard-Satterthwaite theorem says that every strategy-proof voting rule with at least three possible candidates must be dictatorial. Similar impossibility results hold even if we consider a weaker notion of strategy-proofness…

Computer Science and Game Theory · Computer Science 2015-01-08 Samantha Leung , Edward Lui , Rafael Pass

Roll call data are widely used to assess legislators' preferences and ideology, as well as test theories of legislative behavior. In particular, roll call data is often used to determine whether the revealed preferences of legislators are…

Applications · Statistics 2016-01-29 Chelsea Lofland , Abel Rodriguez , Scott Moser

Previous explanations for the persistence of polarization of opinions have typically included modelling assumptions that predispose the possibility of polarization (i.e., assumptions allowing a pair of agents to drift apart in their opinion…

Physics and Society · Physics 2024-10-16 Benedikt V. Meylahn , Janusz M. Meylahn

Classical voting rules assume that ballots are complete preference orders over candidates. However, when the number of candidates is large enough, it is too costly to ask the voters to rank all candidates. We suggest to fix a rank k, to ask…

Computer Science and Game Theory · Computer Science 2020-02-17 Manel Ayadi , Nahla Ben amor , Jérôme Lang

{\em Distortion} is a well-established notion for quantifying the loss of social welfare that may occur in voting. As voting rules take as input only ordinal information, they are essentially forced to neglect the exact values the agents…

Computer Science and Game Theory · Computer Science 2024-10-15 Ioannis Caragiannis , Karl Fehrs

Voting rules based on evaluation inputs rather than preference orders have been recently proposed, like majority judgement, range voting or approval voting. Traditionally, probabilistic analysis of voting rules supposes the use of…

Artificial Intelligence · Computer Science 2021-04-19 Antoine Rolland , Jean-Baptiste Aubin , Irène Gannaz , Samuela Leoni

I study an election between two ideologically polarized parties that are both office- and policy-motivated. The parties compete by proposing policies on a single issue. The analysis uncovers a non-monotonic relationship between ideological…

Theoretical Economics · Economics 2026-01-13 Philipp Denter

Several rules for social choice are examined from a unifying point of view that looks at them as procedures for revising a system of degrees of belief in accordance with certain specified logical constraints. Belief is here a social…

Artificial Intelligence · Computer Science 2015-05-06 Rosa Camps , Xavier Mora , Laia Saumell

Rankings are a fact of life. Whether or not one likes them, they exist and are influential. Within academia, and in computer science in particular, rankings not only capture our attention but also widely influence people who have a limited…

The indoctrination game is a complete-information contest over public opinion. The players exert costly effort to manifest their private opinions in public in order to control the discussion, so that the governing opinion is similar to…

Theoretical Economics · Economics 2023-05-05 Lotem Ikan , David Lagziel

Systems of indirect voting based on the principle of qualified majority can be analysed using the methods of game theory. In particular, this applies to the voting system in the Council of the European Union, which was recently a subject of…

Physics and Society · Physics 2007-05-23 Wojciech Slomczynski , Karol Zyczkowski
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