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A matching game is a cooperative profit game defined on an edge-weighted graph, where the players are the vertices and the profit of a coalition is the maximum weight of matchings in the subgraph induced by the coalition. A population…

计算机科学与博弈论 · 计算机科学 2021-05-04 Han Xiao , Qizhi Fang

Cooperation is of utmost importance to society as a whole, but is often challenged by individual self-interests. While game theory has studied this problem extensively, there is little work on interactions within and across groups with…

物理与社会 · 物理学 2010-10-14 Dirk Helbing , Anders Johansson

We introduce a new family of Parrondo's games of alternating losing strategies in order to get a winning result. In our version of the games we consider an ensemble of players and use "social" rules in which the probabilities of the games…

凝聚态物理 · 物理学 2007-05-23 R. Toral

Agents rarely act in isolation -- their behavioral history, in particular, is public to others. We seek a non-asymptotic understanding of how a leader agent should shape this history to its maximal advantage, knowing that follower agent(s)…

计算机科学与博弈论 · 计算机科学 2019-05-29 Vidya Muthukumar , Anant Sahai

A combinatorial game is a two-player game without hidden information or chance elements. The main object of combinatorial game theory is to obtain the outcome, which player has a winning strategy, of a given combinatorial game. Positions of…

组合数学 · 数学 2025-11-27 Kengo Hashimoto

The paper defines a non-cooperative simultaneous finite game to study coalition structure formation with intra and inter-coalition externalities. The novelty of the game is that the game definition embeds a \textit{coalition structure…

最优化与控制 · 数学 2016-12-08 Dmitry V. Levando

Hedonic games provide a general model of coalition formation, in which a set of agents is partitioned into coalitions, with each agent having preferences over which other players are in her coalition. We prove that with additively separable…

计算机科学与博弈论 · 计算机科学 2017-06-05 Dominik Peters

This paper discusses our investigation into the evolution of cooperative players in an online business environment. We explain our design of an incentive based system with its foundation over binary reputation system whose proportion of…

计算机与社会 · 计算机科学 2013-05-15 Sanat Kumar Bista , Keshav P Dahal , Peter I Cowling

Motivated by the markets operating on fast time scales, we present a framework for online coalitional games with time-varying coalitional values and propose real-time payoff distribution mechanisms. Specifically, we design two online…

系统与控制 · 电气工程与系统科学 2023-01-31 Aitazaz Ali Raja , Sergio Grammatico

Large language model (LLM) agents are increasingly deployed in competitive multi-agent settings, raising fundamental questions about whether they converge to equilibria and how their strategic behavior can be characterized. In this paper,…

多智能体系统 · 计算机科学 2026-04-14 Jiayi Yao , Cong Chen , Baosen Zhang

We propose a class of cooperative games, called d Partitioned Compbinatorial Optimization Games (PCOGs). The input of PCOG consists of a set of agents and a combinatorial structure (typically a graph) with a fixed optimization goal on this…

计算机科学与博弈论 · 计算机科学 2025-08-27 Jiehua Chen , Christian Hatschka , Sofia Simola

We analyze a cooperative game, where the cooperative act is not based on the previous behaviour of the co-player, but on the similarity between the players. This system has been studied in a mean-field description recently [A. Traulsen and…

统计力学 · 物理学 2007-05-23 Arne Traulsen , Jens Christian Claussen

Cooperative dynamics are central to our understanding of many phenomena in living and complex systems. However, we lack a universal mechanism to explain the emergence of cooperation. We present a novel framework for modelling social dilemma…

物理与社会 · 物理学 2025-02-27 Jay Armas , Wout Merbis , Janusz Meylahn , Soroush Rafiee Rad , Mauricio J. del Razo

An energy community is modeled as a cooperative game, where a veto player is needed beyond the prosumers to manage the community, and the worth of a coalition is its benefit compared to the selfish behaviour of the prosumers. Properties of…

最优化与控制 · 数学 2026-02-27 Giancarlo Bigi , Davide Fioriti , Antonio Frangioni , Mauro Passacantando , Davide Poli

In the last few decades, numerous experiments have shown that humans do not always behave so as to maximize their material payoff. Cooperative behavior when non-cooperation is a dominant strategy (with respect to the material payoffs) is…

计算机科学与博弈论 · 计算机科学 2016-06-27 Valerio Capraro , Joseph Y. Halpern

We consider a variant of Cournot competition, where multiple firms allocate the same amount of resource across multiple markets. We prove that the game has a unique pure-strategy Nash equilibrium (NE), which is symmetric and is…

最优化与控制 · 数学 2020-12-15 Ruda Zhang , Roger Ghanem

We model a dynamic public good contribution game, where players are (naturally) formed into groups. The groups are exogenously placed in a sequence, with limited information available to players about their groups' position in the sequence.…

理论经济学 · 经济学 2022-10-18 Chowdhury Mohammad Sakib Anwar , Jorge Bruno , Sonali SenGupta

In the last few decades, numerous experiments have shown that humans do not always behave so as to maximize their material payoff. Cooperative behavior when non-cooperation is a dominant strategy (with respect to the material payoffs) is…

计算机科学与博弈论 · 计算机科学 2014-11-05 Valerio Capraro , Joseph Y. Halpern

The main objective of this work is to describe games which fall under title of Potential and simplify the conditions for class of aggregative games. Games classified as aggregative are ones in which, in addition to the player's own action,…

计算机科学与博弈论 · 计算机科学 2023-08-25 Sina Arefizadeh , Angelia Nedich

In many multi-agent settings, participants can form teams to achieve collective outcomes that may far surpass their individual capabilities. Measuring the relative contributions of agents and allocating them shares of the reward that…

机器学习 · 计算机科学 2022-08-19 Daphne Cornelisse , Thomas Rood , Mateusz Malinowski , Yoram Bachrach , Tal Kachman