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Assume $k$ candidates need to be selected. The candidates appear over time. Each time one appears, it must be immediately selected or rejected -- a decision that is made by a group of individuals through voting. Assume the voters use…

计算机科学与博弈论 · 计算机科学 2022-05-09 Virginie Do , Matthieu Hervouin , Jérôme Lang , Piotr Skowron

In a context where a decision has to be taken collectively by several agents, the social choice problem consists in deciding whether there exists a socially acceptable rule that aggregates the individual preferences of the agents into a…

最优化与控制 · 数学 2017-07-20 J. A. Crespo , J. J. Sánchez-Gabites

Given a set of agents with approval preferences over each other, we study the task of finding $k$ matchings fairly representing everyone's preferences. We model the problem as an approval-based multiwinner election where the set of…

计算机科学与博弈论 · 计算机科学 2021-02-16 Niclas Boehmer , Markus Brill , Ulrike Schmidt-Kraepelin

When opinion spread is studied, peer pressure is often modeled by interactions of more than two individuals (higher-order interactions). In our work, we introduce a two-layer random hypergraph model, in which hyperedges represent households…

社会与信息网络 · 计算机科学 2025-12-30 Ágnes Backhausz , Villő Csiszár , Balázs Csegő Kolok , Damján Tárkányi , András Zempléni

Consider the following process on a network: Each agent initially holds either opinion blue or red; then, in each round, each agent looks at two random neighbors and, if the two have the same opinion, the agent adopts it. This process is…

社会与信息网络 · 计算机科学 2020-11-17 Emilio Cruciani , Emanuele Natale , André Nusser , Giacomo Scornavacca

We study social choice rules under the utilitarian distortion framework, with an additional metric assumption on the agents' costs over the alternatives. In this approach, these costs are given by an underlying metric on the set of all…

计算机科学与博弈论 · 计算机科学 2021-01-15 Ashish Goel , Anilesh Kollagunta Krishnaswamy , Kamesh Munagala

To guarantee all agents are matched in general, the classic Deferred Acceptance algorithm needs complete preference lists. In practice, preference lists are short, yet stable matching still works well. This raises two questions: $\bullet$…

计算机科学与博弈论 · 计算机科学 2023-05-02 Ishan Agarwal , Richard Cole

We investigate the statistical methods applied throughout safety analysis of complex systems. The tolerance interval method implemented in the widely utilized 0.95|0.95 methodology is analyzed. We point out a remarkable weakness of the…

数据分析、统计与概率 · 物理学 2013-06-07 Lenard Pal , Mihaly Makai

We generalize a binary majority-vote model on adaptive networks to its plurality-vote counterpart and analyze the time scale to consensus when voters are given more than two options. When opinions are uniformly distributed in the population…

物理与社会 · 物理学 2018-05-01 Degang Wu , K. Y. Szeto

Social choice is the theory about collective decision towards social welfare starting from individual opinions, preferences, interests or welfare. The field of Computational Social Welfare is somewhat recent and it is gaining impact in the…

人工智能 · 计算机科学 2023-07-25 Andrés García-Camino

We study the changes of opinions about vaccination together with the evolution of a disease. In our model we consider a multiplex network consisting of two layers. One of the layers corresponds to a social network where people share their…

物理与社会 · 物理学 2017-12-01 L. G. Alvarez-Zuzek , Cristian E. La Rocca , J. R. Iglesias , L. A. Braunstein

Pairwise comparisons between alternatives are a well-established tool to decompose decision problems into smaller and more easily tractable sub-problems. However, due to our limited rationality, the subjective preferences expressed by…

人工智能 · 计算机科学 2016-03-15 Matteo Brunelli

Population protocols are a model of distributed computing where $n$ agents, each a simple finite-state machine, interact in pairs to solve a common task against a (adversarial) interaction scheduler. This model was intensively studied in…

分布式、并行与集群计算 · 计算机科学 2026-05-19 Tom-Lukas Breitkopf , Julien Dallot , Antoine El-Hayek , Stefan Schmid

Exclusive social groups are ones in which the group members decide whether or not to admit a candidate to the group. Examples of exclusive social groups include academic departments and fraternal organizations. In the present paper we…

计算机科学与博弈论 · 计算机科学 2016-06-01 Noga Alon , Michal Feldman , Yishay Mansour , Sigal Oren , Moshe Tennenholtz

This paper studies a statistical network model generated by a large number of randomly sized overlapping communities, where any pair of nodes sharing a community is linked with probability $q$ via the community. In the special case with…

概率论 · 数学 2018-06-26 Joona Karjalainen , Johan S. H. van Leeuwaarden , Lasse Leskelä

We study many-to-one matching problems between institutions and individuals, where each institution may be matched to multiple individuals. The matching market includes couples, who view pairs of institutions as complementary. Institutions'…

理论经济学 · 经济学 2025-07-11 Shashwat Khare , Souvik Roy

In the standard arrovian framework and under the assumption that individual preferences and social outcomes are linear orders on the set of alternatives, we study the rules which satisfy suitable symmetries and obey the majority principle.…

群论 · 数学 2015-03-16 Daniela Bubboloni , Michele Gori

We analyse optimal voting weights in two-tier voting systems. In our model, the overall population (or union) is split in groups (or member states) of different sizes. The individuals comprising the overall population constitute the first…

概率论 · 数学 2022-09-28 Werner Kirsch , Gabor Toth

In this paper, matching pairs of random graphs under the community structure model is considered. The problem emerges naturally in various applications such as privacy, image processing and DNA sequencing. A pair of randomly generated…

密码学与安全 · 计算机科学 2018-11-01 F. Shirani , S. Garg , E. Erkip

We consider popular matching problems in both bipartite and non-bipartite graphs with strict preference lists. It is known that every stable matching is a min-size popular matching. A subclass of max-size popular matchings called dominant…

离散数学 · 计算机科学 2018-06-13 Yuri Faenza , Telikepalli Kavitha , Vladlena Powers , Xingyu Zhang
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