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相关论文: Manipulability of consular election rules

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Winner selection by majority, in an election between two candidates, is the only rule compatible with democratic principles. Instead, when the candidates are three or more and the voters rank candidates in order of preference, there are no…

物理与社会 · 物理学 2016-04-19 Pierluigi Contucci , Emanuele Panizzi , Federico Ricci-Tersenghi , Alina Sîrbu

We characterize the class of group-strategyproof mechanisms for the single facility location game in any unconstrained strictly convex space. A mechanism is \emph{group-strategyproof}, if no group of agents can misreport so that all its…

计算机科学与博弈论 · 计算机科学 2020-08-12 Pingzhong Tang , Dingli Yu , Shengyu Zhao

In a many-to-many matching model in which agents' preferences satisfy substitutability and the law of aggregate demand, we proof the General Manipulability Theorem. We result generalizes the presented in Sotomayor (1996 and 2012) for the…

理论经济学 · 经济学 2022-10-14 Paola B. Manasero , Jorge Oviedo

We study full implementation with evidence in an environment with bounded utilities. We show that a social choice function is Nash implementable in a direct revelation mechanism if and only if it satisfies the measurability condition…

理论经济学 · 经济学 2023-05-16 Soumen Banerjee , Yi-Chun Chen , Yifei Sun

Arrow proved that for three or more candidates, the IIA condition is enough to forbid all non-dictatorial election rules (or Social Welfare Functions). Maskin introduced the weaker MIIA condition, which permits the ``Borda'' election rules…

组合数学 · 数学 2025-11-05 Gabriel Gendler

We study organizational elections in which each group nominates one candidate and receives as payoff its members expected utility under a probabilistic winning rule. We empirically justify a standard monotonicity assumption by simulating…

计算机科学与博弈论 · 计算机科学 2026-02-06 Chuang-Chieh Lin , Chi-Jen Lu , Po-An Chen , Chih-Chieh Hung

An assembly of $n$ voters needs to decide on $t$ independent binary issues. Each voter has opinions about the issues, given by a $t$-bit vector. Anscombe's paradox shows that a policy following the majority opinion in each issue may not…

计算机科学与博弈论 · 计算机科学 2023-03-03 Andrei Constantinescu , Roger Wattenhofer

In the celebrated stable-matching problem, there are two sets of agents M and W, and the members of M only have preferences over the members of W and vice versa. It is usually assumed that each member of M and W is a single entity. However,…

计算机科学与博弈论 · 计算机科学 2024-08-21 Leora Schmerler , Noam Hazon , Sarit Kraus

In the traditional voting manipulation literature, it is assumed that a group of manipulators jointly misrepresent their preferences to get a certain candidate elected, while the remaining voters are truthful. In this paper, we depart from…

计算机科学与博弈论 · 计算机科学 2010-01-28 Yvo Desmedt , Edith Elkind

{\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…

计算机科学与博弈论 · 计算机科学 2024-10-15 Ioannis Caragiannis , Karl Fehrs

Arrow's Impossibility Theorem states that any constitution which satisfies Transitivity, Independence of Irrelevant Alternatives (IIA) and Unanimity is a dictatorship. Wilson derived properties of constitutions satisfying Transitivity and…

计算机科学与博弈论 · 计算机科学 2009-10-05 Elchanan Mossel

A fundamental principle of individual rational choice is Sen's $\gamma$ axiom, also known as expansion consistency, stating that any alternative chosen from each of two menus must be chosen from the union of the menus. Expansion consistency…

理论经济学 · 经济学 2023-03-28 Wesley H. Holliday , Chase Norman , Eric Pacuit , Saam Zahedian

Voting is a simple mechanism to combine together the preferences of multiple agents. Agents may try to manipulate the result of voting by mis-reporting their preferences. One barrier that might exist to such manipulation is computational…

人工智能 · 计算机科学 2012-04-18 Toby Walsh

We study the problem of election control through social influence when the manipulator is allowed to use the locations that she acquired on the network for sending \emph{both} positive and negative messages on \emph{multiple} candidates,…

计算机科学与博弈论 · 计算机科学 2019-02-14 Matteo Castiglioni , Diodato Ferraioli , Giulia Landriani , Nicola Gatti

We investigate the parameterized complexity of strategic behaviors in generalized scoring rules. In particular, we prove that the manipulation, control (all the 22 standard types), and bribery problems are fixed-parameter tractable for most…

计算机科学与博弈论 · 计算机科学 2014-05-27 Yongjie Yang

Consider the following collective choice problem: a group of budget constrained agents must choose one of several alternatives. Is there a budget balanced mechanism that: i) does not depend on the specific characteristics of the group, ii)…

理论经济学 · 经济学 2023-01-18 Jon X. Eguia , Nicole Immorlica , Steven P. Lalley , Katrina Ligett , Glen Weyl , Dimitrios Xefteris

In the last decade the Sznajd Model has been successfully employed in modeling some properties and scale features of both proportional and majority elections. We propose a new version of the Sznajd model with a generalized bounded…

统计力学 · 物理学 2011-02-28 André M. Timpanaro , Carmen P. C. Prado

Condorcet's paradox is a fundamental result in social choice theory which states that there exist elections in which, no matter which candidate wins, a majority of voters prefer a different candidate. In fact, even if we can select any $k$…

计算机科学与博弈论 · 计算机科学 2025-12-02 Moses Charikar , Prasanna Ramakrishnan , Kangning Wang

A classical theorem from measure theory that gives a sufficient condition for a multifunction to have a measurable selection is Kuratowski and Ryll-Nardzewski Selection Theorem. The aim of this paper is to show some generalizations of this…

逻辑 · 数学 2021-07-20 Joanna Jureczko

We consider the social welfare function a la Arrow, where some voters are not qualified to evaluate some alternatives. Thus, the inputs of the social welfare function are the preferences of voters on the alternatives that they are qualified…

理论经济学 · 经济学 2024-02-27 Yasunori Okumura