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In an election in which each voter ranks all of the candidates, we consider the head-to-head results between each pair of candidates and form a labeled directed graph, called the margin graph, which contains the margin of victory of each…

理论经济学 · 经济学 2020-09-08 Matthew Harrison-Trainor

We study the problem of fair cohort selection from an unknown population, with a focus on university admissions. We start with the one-shot setting, where the admission policy must be fixed in advance and remain transparent, before…

机器学习 · 计算机科学 2025-08-25 Hortence Phalonne Nana , Christos Dimitrakakis

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

In the classical leader election procedure all players toss coins independently and those who get tails leave the game, while those who get heads move to the next round where the procedure is repeated. We investigate a generalizion of this…

概率论 · 数学 2017-03-02 Gerold Alsmeyer , Zakhar Kabluchko , Alexander Marynych

Democracy relies on making collective decisions through voting. In addition, voting procedures have further applications, for example in the training of artificial intelligence. An essential criterion for determining the winner of a fair…

数据结构与算法 · 计算机科学 2025-12-19 Jannes Malanowski

This article aims to present a unified framework for grading-based voting processes. The idea is to represent the grades of each voter on d candidates as a point in R^d and to define the winner of the vote using the deepest point of the…

其他统计学 · 统计学 2021-12-21 Jean-Baptiste Aubin , Irène Gannaz , Samuela Leoni-Aubin , Antoine Rolland

We propose a new single-winner election method ("Schulze method") and prove that it satisfies many academic criteria (e.g. monotonicity, reversal symmetry, resolvability, independence of clones, Condorcet criterion, k-consistency,…

计算机科学与博弈论 · 计算机科学 2025-10-28 Markus Schulze

Cooperative interval games are a generalized model of cooperative games in which the worth of every coalition corresponds to a closed interval representing the possible outcomes of its cooperation. Selections are all possible outcomes of…

最优化与控制 · 数学 2018-07-26 Jan Bok , Milan Hladík

The outcome of some football matches has benefited both teams at the expense of a third team because head-to-head results were used for breaking ties. Inspired by these examples, our mathematical analysis identifies all possible collusion…

物理与社会 · 物理学 2025-05-20 László Csató

Purpose: Multiwinner voting rules typically require full knowledge of voter preferences, which becomes impractical in large-scale or attention-limited settings. This paper investigates how accurately a winning committee can be approximated…

计算机科学与博弈论 · 计算机科学 2026-04-01 Itay Asher Zimet , Shiri Alouf-Heffetz , Nimrod Talmon

Many real-world voting systems consist of voters that occur in just two different types. Indeed, each voting system with a {\lq\lq}House{\rq\rq} and a {\lq\lq}Senat{\rq\rq} is of that type. Here we present structural characterizations and…

组合数学 · 数学 2021-12-02 Sascha Kurz , Dani Samaniego

To aggregate rankings into a social ranking, one can use scoring systems such as Plurality, Veto, and Borda. We distinguish three types of methods: ranking by score, ranking by repeatedly choosing a winner that we delete and rank at the…

计算机科学与博弈论 · 计算机科学 2022-09-20 Niclas Boehmer , Robert Bredereck , Dominik Peters

Voting is a general method for aggregating the preferences of multiple agents. Each agent ranks all the possible alternatives, and based on this, an aggregate ranking of the alternatives (or at least a winning alternative) is produced.…

计算机科学与博弈论 · 计算机科学 2014-01-16 Vincent Conitzer

We characterise multi-candidate pure-strategy equilibria in the Hotelling-Downs spatial election model for the class of best-worst voting rules, in which each voter is endowed with both a positive and a negative vote, i.e., each voter can…

计算机科学与博弈论 · 计算机科学 2016-10-11 Dodge Cahan , Arkadii Slinko

The paper considers a general model of electoral systems combining district-based elections with a compensatory mechanism in order to create any outcome between strictly majoritarian and purely proportional seat allocation. It contains vote…

计算机科学与博弈论 · 计算机科学 2017-10-27 László Csató

Voting by sequential elimination is a low-communication voting protocol: voters play in sequence and eliminate one or more of the remaining candidates, until only one remains. While the fairness and efficiency of such protocols have been…

计算机科学与博弈论 · 计算机科学 2022-10-18 Ulysse Pavloff , Tristan Cazenave , Jérôme Lang

When voter preferences are known in an incomplete (partial) manner, winner determination is commonly treated as the identification of the necessary and possible winners; these are the candidates who win in all completions or at least one…

计算机科学与博弈论 · 计算机科学 2020-02-24 Aviram Imber , Benny Kimelfeld

We propose a secure voting protocol for score-based voting rules, where independent talliers perform the tallying procedure. The protocol outputs the winning candidate(s) while preserving the privacy of the voters and the secrecy of the…

密码学与安全 · 计算机科学 2022-01-28 Lihi Dery , Tamir Tassa , Avishay Yanai

A perfect clone in an ordinal election (i.e., an election where the voters rank the candidates in a strict linear order) is a set of candidates that each voter ranks consecutively. We consider different relaxations of this notion:…

计算机科学与博弈论 · 计算机科学 2025-09-16 Piotr Faliszewski , Lukasz Janeczko , Grzegorz Lisowski , Kristyna Pekarkova , Ildiko Schlotter

There has been much recent work on multiwinner voting systems. However, sometimes a committee is highly structured, and if we want to vote for such a committee, our voting method should be more structured as well. We consider committees…

计算机科学与博弈论 · 计算机科学 2022-11-14 Karl-Dieter Crisman