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The multi-cluster games are addressed in this paper, where all players team up with the players in the cluster that they belong to, and compete against the players in other clusters to minimize the cost function of their own cluster. The…

Systems and Control · Electrical Eng. & Systems 2023-06-19 Zhenhua Deng , Yan Zhao

We consider the problem of computing stationary points in min-max optimization, with a particular focus on the special case of computing Nash equilibria in (two-)team zero-sum games. We first show that computing $\epsilon$-Nash equilibria…

Computer Science and Game Theory · Computer Science 2025-10-21 Ioannis Anagnostides , Ioannis Panageas , Tuomas Sandholm , Jingming Yan

In this paper, we aim to design a distributed approximate algorithm for seeking Nash equilibria of an aggregative game. Due to the local set constraints of each player, projectionbased algorithms have been widely employed for solving such…

Optimization and Control · Mathematics 2021-08-30 Gehui Xu , Guanpu Chen , Hongsheng Qi , Yiguang Hong

Consensus formation in a social network is modeled by a dynamic game of a prescribed duration played by members of the network. Each member independently minimizes a cost function that represents his/her motive. An integral cost function…

Systems and Control · Computer Science 2017-06-30 Muhammad Umar B. Niazi , Arif Bülent Özgüler , Aykut Yıldız

People choose their strategies through a trial-and-error learning process in which they gradually discover that some strategies work better than others. The process can be modelled as an evolutionary game dynamics system, which may be…

Theoretical Economics · Economics 2023-02-21 Wang Zhijian

This paper studies the effects of introducing altruistic agents into atomic congestion games. Altruistic behavior is modeled by a trade-off between selfish and social objectives. In particular, we assume agents optimize a linear combination…

Computer Science and Game Theory · Computer Science 2009-02-04 Martin Hoefer , Alexander Skopalik

We study the problem of checking for the existence of constrained pure Nash equilibria in a subclass of polymatrix games defined on weighted directed graphs. The payoff of a player is defined as the sum of nonnegative rational weights on…

Computer Science and Game Theory · Computer Science 2016-11-30 Sunil Simon , Dominik Wojtczak

In this paper a consensus has been constructed in a social network which is modeled by a stochastic differential game played by agents of that network. Each agent independently minimizes a cost function which represents their motives. A…

Statistics Theory · Mathematics 2021-07-13 Paramahansa Pramanik

Inspired by real world examples, e.g. the Internet, researchers have introduced an abundance of strategic games to study natural phenomena in networks. Unfortunately, almost all of these games have the conceptual drawback of being…

Computer Science and Game Theory · Computer Science 2017-05-23 Tobias Friedrich , Sven Ihde , Christoph Keßler , Pascal Lenzner , Stefan Neubert , David Schumann

We investigate a model for representing large multiplayer games, which satisfy strong symmetry properties. This model is made of multiple copies of an arena; each player plays in his own arena, and can partially observe what the other…

Computer Science and Game Theory · Computer Science 2014-04-04 Patricia Bouyer , Nicolas Markey , Steen Vester

We present new coordination mechanisms for scheduling selfish jobs on $m$ unrelated machines. A coordination mechanism aims to mitigate the impact of selfishness of jobs on the efficiency of schedules by defining a local scheduling policy…

Computer Science and Game Theory · Computer Science 2011-07-12 Ioannis Caragiannis

Today, many companies take advantage of viral marketing to promote their new products, and since there are several competing companies in many markets, Competitive Influence Maximization has attracted much attention. Two categories of…

Social and Information Networks · Computer Science 2019-12-30 Amirhossein Ansari , Masoud Dadgar , Ali Hamzeh , Jörg Schlötterer , Michael Granitzer

This paper investigates the relationship between the team-optimal solution and the Nash equilibrium (NE) to assess the impact of self-interested decisions on team performance. In classical team decision problems, team members typically act…

Optimization and Control · Mathematics 2025-08-20 Gehui Xu , Thomas Parisini , Andreas A. Malikopoulos

An existing challenge in power systems is the implementation of optimal demand management through dynamic pricing. This paper encompasses the design, analysis and implementation of a novel on-line pricing scheme based on coalitional game…

Optimization and Control · Mathematics 2024-07-16 Fernando Genis Mendoza , Pablo R Baldivieso Monasterios , Dario Bauso , George Konstantopoulos

Finding, counting, or determining the existence of Nash equilibria, where players must play optimally given each others' actions, are known to be computational intractable problems. We ask whether weakening optimality to the requirement…

Computer Science and Game Theory · Computer Science 2026-02-12 Mete Şeref Ahunbay , Paul W. Goldberg , Edwin Lock , Panayotis Mertikopoulos , Bary S. R. Pradelski , Bassel Tarbush

An important task in the analysis of multiagent systems is to understand how groups of selfish players can form coalitions, i.e., work together in teams. In this paper, we study the dynamics of coalition formation under bounded rationality.…

Computer Science and Game Theory · Computer Science 2011-03-03 John Augustine , Ning Chen , Edith Elkind , Angelo Fanelli , Nick Gravin , Dmitry Shiryaev

Many real-world systems are composed of interdependent networks that rely on one another. Such networks are typically designed and operated by different entities, who aim at maximizing their own payoffs. There exists a game among these…

Physics and Society · Physics 2017-03-08 Yuhang Fan , Gongze Cao , Shibo He , Jiming Chen , Youxian Sun

Nash equilibrium is used as a model to explain the observed behavior of players in strategic settings. For example, in many empirical applications we observe player behavior, and the problem is to determine if there exist payoffs for the…

Computer Science and Game Theory · Computer Science 2014-09-30 Siddharth Barman , Umang Bhaskar , Federico Echenique , Adam Wierman

The notion of optimality naturally arises in many areas of applied mathematics and computer science concerned with decision making. Here we consider this notion in the context of three formalisms used for different purposes in reasoning…

Artificial Intelligence · Computer Science 2008-04-21 Krzysztof R. Apt , Francesca Rossi , Kristen Brent Venable

We consider a team formation setting where agents have varying levels of expertise in a global set of required skills, and teams are ranked with respect to how well the expertise of teammates complement each other. We model this setting as…

Computer Science and Game Theory · Computer Science 2020-11-04 Bugra Caskurlu , Fatih Erdem Kizilkaya , Berkehan Ozen