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In many situations when people are assigned to coalitions, the utility of each person depends on the friends in her coalition. Additionally, in many situations, the size of each coalition should be bounded. This paper studies such coalition…

Computer Science and Game Theory · Computer Science 2024-02-14 Chaya Levinger , Noam Hazon , Sofia Simola , Amos Azaria

We study strategic behavior of project proposers in the context of approval-based participatory budgeting (PB). In our model we assume that the votes are fixed and known and the proposers want to set as high project prices as possible,…

Computer Science and Game Theory · Computer Science 2024-07-30 Piotr Faliszewski , Łukasz Janeczko , Andrzej Kaczmarczyk , Grzegorz Lisowski , Piotr Skowron , Stanisław Szufa

The core is a central solution concept in cooperative game theory, defined as the set of feasible allocations or payments such that no subset of agents has incentive to break away and form their own subgroup or coalition. However, it has…

We analyze the core of a cooperative Cournot game. We assume that when contemplating a deviation, the members of a coalition assign positive probability over all possible coalition structures that the non-members can form. We show that when…

Computer Science and Game Theory · Computer Science 2011-07-19 Paraskevas V. Lekeas , Giorgos Stamatopoulos

In approval-based committee (ABC) voting, the goal is to choose a subset of predefined size of the candidates based on the voters' approval preferences over the candidates. While this problem has attracted significant attention in recent…

Computer Science and Game Theory · Computer Science 2023-12-15 Martin Bullinger , Chris Dong , Patrick Lederer , Clara Mehler

The security of most existing cryptocurrencies is based on a concept called Proof-of-Work, in which users must solve a computationally hard cryptopuzzle to authorize transactions (`one unit of computation, one vote'). This leads to enormous…

Computer Science and Game Theory · Computer Science 2018-09-19 Jonah Brown-Cohen , Arvind Narayanan , Christos-Alexandros Psomas , S. Matthew Weinberg

Participatory Budgeting (PB) is a form of participatory democracy in which citizens select a set of projects to be implemented, subject to a budget constraint. The Method of Equal Shares (MES), introduced in [18], is a simple iterative…

Computer Science and Game Theory · Computer Science 2023-10-17 Sonja Kraiczy , Edith Elkind

We study multiwinner elections with approval-based preferences. An instance of a multiwinner election consists of a set of alternatives, a population of voters---each voter approves a subset of alternatives, and the desired committee size…

Computer Science and Game Theory · Computer Science 2019-10-15 Piotr Skowron

We revisit the recent breakthrough result of Gkatzelis et al. on (single-winner) metric voting, which showed that the optimal distortion of 3 can be achieved by a mechanism called Plurality Matching. The rule picks an arbitrary candidate…

Computer Science and Game Theory · Computer Science 2025-02-05 Fatih Erdem Kizilkaya , David Kempe

Majority voting is the standard for aggregating multi-agent responses into a final decision. However, traditional methods typically require all agents to complete their reasoning before aggregation begins, leading to significant…

Artificial Intelligence · Computer Science 2026-04-06 Yiqing Liu , Hantao Yao , Wu Liu , Yongdong Zhang

In social choice there often arises a conflict between the majority principle (the search for a candidate that is as good as possible for as many voters as possible), and the protection of minority rights (choosing a candidate that is not…

Computer Science and Game Theory · Computer Science 2023-04-06 Egor Ianovski , Aleksei Y. Kondratev

We study the concept of bribery in the situation where voters are willing to change their votes as we ask them, but where their prices depend on the nature of the change we request. Our model is an extension of the one of Faliszewski et al.…

Computer Science and Game Theory · Computer Science 2007-12-03 Piotr Faliszewski

Budgetary constraints force organizations to pursue only a subset of possible innovation projects. Identifying which subset is most promising is an error-prone exercise, and involving multiple decision makers may be prudent. This raises the…

Theoretical Economics · Economics 2025-10-21 Lucas Böttcher , Ronald Klingebiel

We study the complexity of constructive bribery in the context of structured multiwinner approval elections. Given such an election, we ask whether a certain candidate can join the winning committee by adding, deleting, or swapping…

Computer Science and Game Theory · Computer Science 2024-01-23 Bartosz Kusek , Robert Bredereck , Piotr Faliszewski , Andrzej Kaczmarczyk , Dušan Knop

Quadratic Voting (QV) is a social choice mechanism that addresses the "tyranny of the majority" of one-person-one-vote mechanisms. Agents express not only their preference ordering but also their preference intensity by purchasing $x$ votes…

Computer Science and Game Theory · Computer Science 2024-09-11 Laura Georgescu , James Fox , Anna Gautier , Michael Wooldridge

In a multiple partners matching problem the agents can have multiple partners up to their capacities. In this paper we consider both the two-sided many-to-many stable matching problem and the one-sided stable fixtures problem under…

Computer Science and Game Theory · Computer Science 2022-02-14 Péter Biró , Gergely Csáji

Participatory Budgeting (PB) has evolved into a key democratic instrument for resource allocation in cities. Enabled by digital platforms, cities now have the opportunity to let citizens directly propose and vote on urban projects, using…

Human-Computer Interaction · Computer Science 2024-10-14 Joshua C. Yang , Carina I. Hausladen , Dominik Peters , Evangelos Pournaras , Regula Hänggli Fricker , Dirk Helbing

The core is a traditional and useful solution concept in economic theory. But in discrete exchange economies without transfers, when endowments are complex, the core may be empty. This motivates Balbuzanov and Kotowski (2019) to interpret…

Theoretical Economics · Economics 2021-06-01 Jun Zhang

The core is a quintessential solution concept for profit sharing in cooperative game theory. An imputation allocates the worth of the given game among its agents. The imputation lies in the core of the game if, for each sub-coalition, the…

Computer Science and Game Theory · Computer Science 2025-02-05 Rohith Reddy Gangam , Shayan Taherijam , Vijay V. Vazirani

Concurrent multi-player mean-payoff games are important models for systems of agents with individual, non-dichotomous preferences. Whilst these games have been extensively studied in terms of their equilibria in non-cooperative settings,…

Computer Science and Game Theory · Computer Science 2023-11-28 Julian Gutierrez , Anthony W. Lin , Muhammad Najib , Thomas Steeples , Michael Wooldridge
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