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The emergence of structure in cooperative relation is studied in a game theoretical model. It is proved that specific types of reciprocity norm lead individuals to split into two groups. The condition for the evolutionary stability of the…

Physics and Society · Physics 2021-09-01 Koji Oishi , Takashi Shimada , Nobuyasu Ito

This paper studies cooperative games where coalitions are formed online and the value generated by the grand coalition must be irrevocably distributed among the players at each timestep. We investigate the fundamental issue of strategic…

Computer Science and Game Theory · Computer Science 2025-02-28 Haris Aziz , Yuhang Guo , Zhaohong Sun

People choose friendships with people similar to themselves, i.e. they sort by resemblence. Economic studies have shown when sorting is optimal and constitute an equilibrium, however, this presumes lack of beneficial spillovers. We…

Economics · Quantitative Finance 2017-08-17 Andreas Bjerre-Nielsen

A universal feature of human societies is the adoption of systems of rules and norms in the service of cooperative ends. How can we build learning agents that do the same, so that they may flexibly cooperate with the human institutions they…

Artificial Intelligence · Computer Science 2024-02-23 Ninell Oldenburg , Tan Zhi-Xuan

We solve for the equilibrium dynamics of information sharing in a large population. Each agent is endowed with signals regarding the likely outcome of a random variable of common concern. Individuals choose the effort with which they search…

Probability · Mathematics 2008-11-20 Darrell Duffie , Semyon Malamud , Gustavo Manso

Solutions to the coalition formation problem commonly assume agent rationality and, correspondingly, utility maximization. This in turn may prevent agents from making compromises. As shown in recent studies, compromise may facilitate…

Multiagent Systems · Computer Science 2007-05-23 Samir Aknine , Onn Shehory

We study a model in which two players with opposing interests try to alter a status quo through instability-generating actions. We show that instability can be used to secure longer-term durable changes, even if it is costly to generate and…

Theoretical Economics · Economics 2023-03-14 César Barilla , Duarte Gonçalves

The formation and stability of social hierarchies is a question of general relevance. Here, we propose a simple generalized theoretical model for establishing social hierarchy via pair-wise interactions between individuals and investigate…

Physics and Society · Physics 2023-11-28 Joseph Hickey , Jörn Davidsen

A new approach for the description of phenomena of social aggregation is suggested. On the basis of psychological concepts (as for instance social norms and cultural coordinates), we deduce a general mechanism for the social aggregation in…

Physics and Society · Physics 2011-04-29 Daniele Vilone , Andrea Guazzini

Is there an equilibrium for distributed consensus when all agents except one collude to steer the decision value towards their preference? If an equilibrium exists, then an $n-1$ size coalition cannot do better by deviating from the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-10 Yehuda Afek , Itay Harel , Amit Jacob-Fanani , Moshe Sulamy

In a setting where heterogeneous agents interact to accomplish a given set of goals, cooperation is of utmost importance, especially when agents cannot achieve their individual goals by exclusive use of their own efforts. Even when we…

Multiagent Systems · Computer Science 2008-06-25 Ilker Yildirim , Haluk Bingol

In this paper we address the consensus problem in the context of networked agents whose communication graph can be split into a certain number of clusters in such a way that interactions between agents in the same clusters are cooperative,…

Systems and Control · Electrical Eng. & Systems 2020-08-31 Giulia De Pasquale , Maria Elena Valcher

A pressing challenge for coming decades is sustainable and just management of large-scale common-pool resources including the atmosphere, biodiversity and public services. This poses a difficult collective action problem because such…

Physics and Society · Physics 2021-07-15 David Andersson , Sigrid Bratsberg , Andrew K. Ringsmuth , Astrid S. de Wijn

Ranking individuals based on their performance in different coalitions is a problem emerging in various domains (teams sports, scientific evaluation, argumentation, etc.). Often, for practical reasons, the number of comparable coalitions is…

Theoretical Economics · Economics 2026-03-19 Takahiro Suzuki , Michele Aleandri , Stefano Moretti

Artificially intelligent agents deployed in the real-world will require the ability to reliably \textit{cooperate} with humans (as well as other, heterogeneous AI agents). To provide formal guarantees of successful cooperation, we must make…

Machine Learning · Computer Science 2024-07-02 Robert Loftin , Saptarashmi Bandyopadhyay , Mustafa Mert Çelikok

In many economic, social and political situations individuals carry out activities in groups (coalitions) rather than alone and on their own. Examples range from households and sport clubs to research networks, political parties and trade…

Computer Science and Game Theory · Computer Science 2012-12-12 Gerhard J. Woeginger

This paper studies the formation of the grand coalition of a cooperative game by investigating its possible internal dynamics. Each coalition is capable of forcing all players to reconsider the current state of the game when it does not…

Theoretical Economics · Economics 2024-12-06 Dylan Laplace Mermoud

Motivated by data on coauthorships in scientific publications, we analyze a team formation process that generalizes matching models and network formation models, allowing for overlapping teams of heterogeneous size. We apply different…

Theoretical Economics · Economics 2022-11-29 Leonardo Boncinelli , Alessio Muscillo , Paolo Pin

We propose a notion of a stable partition in a coalitional game that is parametrized by the concept of a defection function. This function assigns to each partition of the grand coalition a set of different coalition arrangements for a…

Computer Science and Game Theory · Computer Science 2007-05-23 Krzysztof R. Apt , Tadeusz Radzik

Coalition formation over graphs is a well studied class of games whose players are vertices and feasible coalitions must be connected subgraphs. In this setting, the existence and computation of equilibria, under various notions of…

Computer Science and Game Theory · Computer Science 2024-08-22 Angelo Fanelli , Laurent Gourvès , Ayumi Igarashi , Luca Moscardelli