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This paper is a twofold contribution. First, it contributes to the problem of enumerating some classes of simple games and in particular provides the number of weighted games with minimum and the number of weighted games for the dual class…

组合数学 · 数学 2015-05-14 Josep Freixas , Sascha Kurz

Successive elimination of candidates is often a route to making manipulation intractable to compute. We prove that eliminating candidates does not necessarily increase the computational complexity of manipulation. However, for many voting…

人工智能 · 计算机科学 2012-04-19 Jessica Davies , Nina Narodytska , Toby Walsh

Challenge the champ tournaments are one of the simplest forms of competition, where a (initially selected) champ is repeatedly challenged by other players. If a player beats the champ, then that player is considered the new (current) champ.…

数据结构与算法 · 计算机科学 2024-03-27 Juhi Chaudhary , Hendrik Molter , Meirav Zehavi

Strategic voting, or manipulation, is the process by which a voter misrepresents his preferences in an attempt to elect an outcome that he considers preferable to the outcome under sincere voting. It is generally agreed that manipulation is…

计算机科学与博弈论 · 计算机科学 2022-11-10 Egor Ianovski , Daria Teplova , Valeriia Kuka

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 Possible Winner problem in computational social choice theory, we are given a set of partial preferences and the question is whether a distinguished candidate could be made winner by extending the partial preferences to linear…

计算机科学与博弈论 · 计算机科学 2015-02-17 Palash Dey , Neeldhara Misra , Y. Narahari

The multiplication game is a two-person game in which each player chooses a positive integer without knowledge of the other player's number. The two numbers are then multiplied together and the first digit of the product determines the…

计算机科学与博弈论 · 计算机科学 2016-07-11 Kent E. Morrison

Bribery in elections is an important problem in computational social choice theory. However, bribery with money is often illegal in elections. Motivated by this, we introduce the notion of frugal bribery and formulate two new pertinent…

人工智能 · 计算机科学 2017-03-01 Palash Dey , Neeldhara Misra , Y. Narahari

Consider an election where the set of candidates is partitioned into parties, and each party must choose exactly one candidate to nominate for the election held over all nominees. The Necessary President problem asks whether a candidate, if…

计算机科学与博弈论 · 计算机科学 2026-02-12 Katarína Cechlárová , Ildikó Schlotter

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

For many voting rules, it is NP-hard to compute a successful manipulation. However, NP-hardness only bounds the worst-case complexity. Recent theoretical results suggest that manipulation may often be easy in practice. We study empirically…

人工智能 · 计算机科学 2012-04-18 Toby Walsh

Among two-candidate elections that treat the candidates symmetrically and never result in a tie, which voting rules are fair? A natural requirement is that each voter exerts an equal influence over the outcome, i.e., is equally likely to…

理论经济学 · 经济学 2026-02-17 Manik Dhar , Kunal Mittal , Clayton Thomas

This paper addresses Monte Carlo algorithms for calculating the Shapley-Shubik power index in weighted majority games. First, we analyze a naive Monte Carlo algorithm and discuss the required number of samples. We then propose an efficient…

计算机科学与博弈论 · 计算机科学 2022-06-06 Yuto Ushioda , Masato Tanaka , Tomomi Matsui

In imperfect information games (e.g. Bridge, Skat, Poker), one of the fundamental considerations is to infer the missing information while at the same time avoiding the disclosure of private information. Disregarding the issue of protecting…

人工智能 · 计算机科学 2024-05-24 Jérôme Arjonilla , Abdallah Saffidine , Tristan Cazenave

The traditional election control problem focuses on the use of control to promote a single candidate. In parliamentary elections, however, the focus shifts: voters care no less about the overall governing coalition than the individual…

计算机科学与博弈论 · 计算机科学 2025-03-07 Hodaya Barr , Eden Hartman , Yonatan Aumann , Sarit Kraus

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 consider a simple and altruistic multiagent system in which the agents are eager to perform a collective task but where their real engagement depends on the willingness to perform the task of other influential agents. We model this…

计算机科学与博弈论 · 计算机科学 2014-03-10 Xavier Molinero , Fabián Riquelme , Maria Serna

We consider an assignment problem that has aspects of fair division as well as social choice. In particular, we investigate the problem of assigning a small subset from a set of indivisible items to multiple players so that the chosen…

计算机科学与博弈论 · 计算机科学 2019-02-06 Warut Suksompong

Control and manipulation are two of the most studied types of attacks on elections. In this paper, we study the complexity of control attacks on elections in which there are manipulators. We study both the case where the "chair" who is…

计算机科学与博弈论 · 计算机科学 2017-06-09 Zack Fitzsimmons , Edith Hemaspaandra , Lane A. Hemaspaandra

We analyze the computational complexity of optimally playing the two-player board game Push Fight, generalized to an arbitrary board and number of pieces. We prove that the game is PSPACE-hard to decide who will win from a given position,…

计算复杂性 · 计算机科学 2018-03-13 Jeffrey Bosboom , Erik D. Demaine , Mikhail Rudoy