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We consider a model where a subset of candidates must be selected based on voter preferences, subject to general constraints that specify which subsets are feasible. This model generalizes committee elections with diversity constraints,…

计算机科学与博弈论 · 计算机科学 2026-02-10 Piotr Skowron

In the computational social choice literature, there has been great interest in understanding how computational complexity can act as a barrier against manipulation of elections. Much of this literature, however, makes the assumption that…

计算机科学与博弈论 · 计算机科学 2015-07-27 Vijay Menon , Kate Larson

The Sznajd model in less than a year has found several followers. An isolated person does not convince others; a group of people sharing the same opinions influences the neighbours much more easily. Thus on a square lattice, with variables…

统计力学 · 物理学 2007-05-23 Dietrich Stauffer

A Condorcet cycle election is an election (often called a Social Welfare Function, or SWF) between three candidates, where each voter ranks the three candidates according to a fixed cyclic order. Maskin showed that if such a SWF obeys the…

组合数学 · 数学 2025-11-05 Gabriel Gendler

We consider the house allocation problems with strict preferences, where monetary transfers are not allowed. We propose two properties in the spirit of justified fairness. Interestingly, together with other well-studied properties…

理论经济学 · 经济学 2024-07-22 Di Feng , Jacob Coreno

Voting rules allow multiple agents to aggregate their preferences in order to reach joint decisions. Perhaps one of the most important desirable properties in this context is Condorcet-consistency, which requires that a voting rule should…

计算机科学与博弈论 · 计算机科学 2016-02-26 Felix Brandt , Christian Geist , Dominik Peters

Understanding the nature of strategic voting is the holy grail of social choice theory, where game-theory, social science and recently computational approaches are all applied in order to model the incentives and behavior of voters. In a…

多智能体系统 · 计算机科学 2014-11-19 Reshef Meir

The utilitarian distortion framework evaluates voting rules by their worst-case efficiency loss when voters have cardinal utilities but express only ordinal rankings. Under the classical model, a longstanding tension exists: Plurality,…

计算机科学与博弈论 · 计算机科学 2026-02-12 Hamidreza Alipour , Mohak Goyal

Several elections run in the last years have been characterized by attempts to manipulate the result of the election through the diffusion of fake or malicious news over social networks. This problem has been recognized as a critical issue…

计算机科学与博弈论 · 计算机科学 2023-08-22 Vincenzo Auletta , Francesco Carbone , Diodato Ferraioli

This work deals with the implementation of social choice rules using dominant strategies for unrestricted preferences. The seminal Gibbard-Satterthwaite theorem shows that only few unappealing social choice rules can be implemented unless…

理论经济学 · 经济学 2019-10-29 Ilan Nehama

Voting is a simple mechanism to aggregate the preferences of agents. Many voting rules have been shown to be NP-hard to manipulate. However, a number of recent theoretical results suggest that this complexity may only be in the worst-case…

人工智能 · 计算机科学 2009-05-25 Toby Walsh

Many hardness results in computational social choice make use of the fact that every directed graph may be induced as the pairwise majority relation of some preference profile. However, this fact requires a number of voters that is almost…

计算机科学与博弈论 · 计算机科学 2017-04-24 Georg Bachmeier , Felix Brandt , Christian Geist , Paul Harrenstein , Keyvan Kardel , Dominik Peters , Hans Georg Seedig

The well-known Condorcet Jury Theorem states that, under majority rule, the better of two alternatives is chosen with probability approaching one as the population grows. We study an asymmetric setting where voters face varying…

计算机科学与博弈论 · 计算机科学 2025-10-22 Reshef Meir , Ganesh Ghalme

Arrow's Theorem concerns a fundamental problem in social choice theory: given the individual preferences of members of a group, how can they be aggregated to form rational group preferences? Arrow showed that in an election between three or…

概率论 · 数学 2021-09-27 Frederic Koehler , Elchanan Mossel

An important problem in computational social choice theory is the complexity of undesirable behavior among agents, such as control, manipulation, and bribery in election systems. These kinds of voting strategies are often tempting at the…

人工智能 · 计算机科学 2012-04-20 Andrew Lin

The well-known Impossibility Theorem of Arrow asserts that any Generalized Social Welfare Function (GSWF) with at least three alternatives, which satisfies Independence of Irrelevant Alternatives (IIA) and Unanimity and is not a…

组合数学 · 数学 2010-03-23 Nathan Keller

The key contribution of the paper is a comprehensive study of the egalitarian mechanism with respect to manipulation by a coalition of agents. Our main result is that the egalitarian mechanism is, in fact, peak group strategyproof : no…

计算机科学与博弈论 · 计算机科学 2011-07-25 Shyam S Chandramouli , Jay Sethuraman

We consider a committee voting on whether to adopt a reform under a quota rule, where members differ in how much they value the reform some supporting it, others opposing it. We examine how members can influence each other's votes through…

综合经济学 · 经济学 2025-05-19 Ali Lazrak , Jianfeng Zhang

We consider the problem of manipulation of elections using positional voting rules under Impartial Culture voter behaviour. We consider both the logical possibility of coalitional manipulation, and the number of voters that must be…

概率论 · 数学 2007-05-23 Geoffrey Pritchard , Mark C. Wilson

We study a two-alternative voting game where voters' preferences depend on an unobservable world state and each voter receives a private signal correlated to the true world state. We consider the collective decision when voters can…

计算机科学与博弈论 · 计算机科学 2024-10-11 Xiaotie Deng , Biaoshuai Tao , Ying Wang