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A simple game $(N,v)$ is given by a set $N$ of $n$ players and a partition of $2^N$ into a set $\mathcal{L}$ of losing coalitions $L$ with value $v(L)=0$ that is closed under taking subsets and a set $\mathcal{W}$ of winning coalitions $W$…

计算机科学与博弈论 · 计算机科学 2018-08-30 Frits Hof , Walter Kern , Sascha Kurz , Daniël Paulusma

Given a predicate $P: \{-1, 1\}^k \to \{-1, 1\}$, let $CSP(P)$ be the set of constraint satisfaction problems whose constraints are of the form $P$. We say that $P$ is approximable if given a nearly satisfiable instance of $CSP(P)$, there…

计算复杂性 · 计算机科学 2020-04-28 Neng Huang , Aaron Potechin

We study the problem of coalitional manipulation---where $k$ manipulators try to manipulate an election on $m$ candidates---under general scoring rules, with a focus on the Borda protocol. We do so both in the weighted and unweighted…

数据结构与算法 · 计算机科学 2017-08-17 Orgad Keller , Avinatan Hassidim , Noam Hazon

We investigate two systems of fully proportional representation suggested by Chamberlin Courant and Monroe. Both systems assign a representative to each voter so that the "sum of misrepresentations" is minimized. The winner determination…

计算机科学与博弈论 · 计算机科学 2014-02-05 Nadja Betzler , Arkadii Slinko , Johannes Uhlmann

Election systems based on scores generally determine the winner by computing the score of each candidate and the winner is the candidate with the best score. It would be natural to expect that computing the winner of an election is at least…

计算机科学与博弈论 · 计算机科学 2019-11-21 Zack Fitzsimmons , Edith Hemaspaandra

We study computational problems for two popular parliamentary voting procedures: the amendment procedure and the successive procedure. While finding successful manipulations or agenda controls is tractable for both procedures, our…

计算机科学与博弈论 · 计算机科学 2015-09-09 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Toby Walsh

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

Electing a single committee of a small size is a classical and well-understood voting situation. Being interested in a sequence of committees, we introduce and study two time-dependent multistage models based on simple Plurality voting.…

计算复杂性 · 计算机科学 2024-01-22 Robert Bredereck , Till Fluschnik , Andrzej Kaczmarczyk

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

We study the computational complexity of bribery in parliamentary voting, in settings where the briber is (also) interested in the success of an entire set of political parties - a ``coalition'' - rather than an individual party. We…

计算机科学与博弈论 · 计算机科学 2025-03-20 Hodaya Barr , Yonatan Aumann , Sarit Kraus

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

Classical results in voting theory show that strategic manipulation by voters is inevitable if a voting rule simultaneously satisfy certain desirable properties. Motivated by this, we study the relevant question of how often a voting rule…

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

During the last twenty years, a lot of research was conducted on the sport elimination problem: Given a sports league and its remaining matches, we have to decide whether a given team can still possibly win the competition, i.e., place…

计算复杂性 · 计算机科学 2016-05-11 Stefan Neumann , Andreas Wiese

Multiwinner voting rules can be used to select a fixed-size committee from a larger set of candidates. We consider approval-based committee rules, which allow voters to approve or disapprove candidates. In this setting, several voting rules…

计算机科学与博弈论 · 计算机科学 2024-11-05 Dominik Peters

We view voting rules as classifiers that assign a winner (a class) to a profile of voters' preferences (an instance). We propose to apply techniques from formal explainability, most notably abductive and contrastive explanations, to…

人工智能 · 计算机科学 2024-08-27 Clément Contet , Umberto Grandi , Jérôme Mengin

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

In many real world elections, agents are not required to rank all candidates. We study three of the most common methods used to modify voting rules to deal with such partial votes. These methods modify scoring rules (like the Borda count),…

计算机科学与博弈论 · 计算机科学 2014-06-02 Nina Narodytska , Toby Walsh

Leader Election is an important primitive for programmable matter, since it is often an intermediate step for the solution of more complex problems. Although the leader election problem itself is well studied even in the specific context of…

分布式、并行与集群计算 · 计算机科学 2024-02-19 Jérémie Chalopin , Shantanu Das , Maria Kokkou

Consider an election between k candidates in which each voter votes randomly (but not necessarily independently) and suppose that there is a single candidate that every voter prefers (in the sense that each voter is more likely to vote for…

概率论 · 数学 2012-05-31 Joe Neeman

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