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Determining how close a winner of an election is to becoming a loser, or distinguishing between different possible winners of an election, are major problems in computational social choice. We tackle these problems for so-called weighted…

Computer Science and Game Theory · Computer Science 2024-08-14 Michelle Döring , Jannik Peters

In two-sided matching markets with contracts, quantile (or generalized median) stable mechanisms represent an interesting class that produces stable allocations which can be viewed as compromises between both sides of the market. These…

Theoretical Economics · Economics 2025-03-18 R. Pablo Arribillaga , Eliana Pepa-Risma

We consider randomized mechanisms with optional participation. Preferences over lotteries are modeled using skew-symmetric bilinear (SSB) utility functions, a generalization of classic von Neumann-Morgenstern utility functions. We show that…

Computer Science and Game Theory · Computer Science 2015-08-17 Florian Brandl , Felix Brandt , Johannes Hofbauer

Single-peakedness is one of the most important and well-known domain restrictions on preferences. The computational study of single-peaked electorates has largely been restricted to elections with tie-free votes, and recent work that…

Computer Science and Game Theory · Computer Science 2016-06-21 Zack Fitzsimmons , Edith Hemaspaandra

Voter control problems model situations in which an external agent tries toaffect the result of an election by adding or deleting the fewest number of voters. The goal of the agent is to make a specific candidate either win…

Multiagent Systems · Computer Science 2017-01-19 Leon Kellerhals , Viatcheslav Korenwein , Philipp Zschoche , Robert Bredereck , Jiehua Chen

We consider the multi-unit random assignment problem in which agents express preferences over objects and objects are allocated to agents randomly based on the preferences. The most well-established preference relation to compare random…

Computer Science and Game Theory · Computer Science 2015-06-22 Haris Aziz

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…

Statistical Mechanics · Physics 2007-05-23 Dietrich Stauffer

In this paper, we consider permutation manipulations by any subset of women in the men-proposing version of the Gale-Shapley algorithm. This paper is motivated by the college admissions process in China. Our results also answer an open…

Computer Science and Game Theory · Computer Science 2021-12-28 Weiran Shen , Yuan Deng , Pingzhong Tang

We study the election control problem with multi-votes, where each voter can present a single vote according different views (or layers, we use "layer" to represent "view"). For example, according to the attributes of candidates, such as:…

Computational Complexity · Computer Science 2023-07-03 Fengbo Wang , Aizhong Zhou , Jianliang Xu

In problems involving the allocation of a single non-disposable commodity, we study rules defined on a general domain of preferences requiring only that each preference exhibit a unique global maximum. Our focus is on rules that satisfy a…

Theoretical Economics · Economics 2025-12-18 R. Pablo Arribillaga , Agustin G. Bonifacio

The classical paradox of social choice theory asserts that there is no fair way to deterministically select a winner in an election among more than two candidates; the only definite collective preferences are between individual pairs of…

Combinatorics · Mathematics 2012-11-05 Jennifer Iglesias , Nathaniel Ince , Po-Shen Loh

The important Kemeny problem, which consists of computing median consensus rankings of an election with respect to the Kemeny voting rule, admits important applications in biology and computational social choice and was generalized recently…

Computer Science and Game Theory · Computer Science 2023-05-01 Xuan Kien Phung , Sylvie Hamel

A central theme in computational social choice is to study the extent to which voting systems computationally resist manipulative attacks seeking to influence the outcome of elections, such as manipulation (i.e., strategic voting), control,…

Computer Science and Game Theory · Computer Science 2013-07-30 Piotr Faliszewski , Yannick Reisch , Jörg Rothe , Lena Schend

False-name manipulation refers to the question of whether a player in a weighted voting game can increase her power by splitting into several players and distributing her weight among these false identities. Analogously to this splitting…

Computer Science and Game Theory · Computer Science 2021-07-30 Anja Rey , Jörg Rothe

We study the properties of elections that have a given position matrix (in such elections each candidate is ranked on each position by a number of voters specified in the matrix). We show that counting elections that generate a given…

Computer Science and Game Theory · Computer Science 2023-03-10 Niclas Boehmer , Jin-Yi Cai , Piotr Faliszewski , Austen Z. Fan , Łukasz Janeczko , Andrzej Kaczmarczyk , Tomasz Wąs

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…

Computer Science and Game Theory · Computer Science 2015-09-09 Robert Bredereck , Jiehua Chen , Rolf Niedermeier , Toby Walsh

We consider a committee voting setting in which each voter approves of a subset of candidates and based on the approvals, a target number of candidates are selected. Aziz et al. (2015) proposed two representation axioms called justified…

Computer Science and Game Theory · Computer Science 2017-03-24 Haris Aziz , Shenwei Huang

We consider two-tier voting system and try to determine optimal weights for a fair representation in such systems. A prominent example of such a voting system is the Council of Ministers of the European Union. Under the assumption of…

Probability · Mathematics 2012-10-18 Werner Kirsch , Jessica Langner

We study the complexity of candidate control in participatory budgeting elections. The goal of constructive candidate control is to ensure that a given candidate wins by either adding or deleting candidates from the election (in the…

Computer Science and Game Theory · Computer Science 2026-01-26 Piotr Faliszewski , Łukasz Janeczko , Dušan Knop , Jan Pokorný , Šimon Schierreich , Mateusz Słuszniak , Krzysztof Sornat

In many applications of cooperative game theory -- from corporate governance and cartel formation to parliamentary voting -- not all winning coalitions are feasible. Ideological distances, institutional constraints, or pre-electoral…

Theoretical Economics · Economics 2026-03-31 Thomas Pitz , Vinicius Ferraz