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Consider a very simple class of (finite) games: after an initial move by nature, each player makes one move. Moreover, the players have common interests: at each node, all the players get the same payoff. We show that the problem of…

Computer Science and Game Theory · Computer Science 2007-05-23 Francis Chu , Joseph Y. Halpern

Changes in payoffs can transform Prisoner's Dilemma and other social dilemmas into harmonious win-win games. Using the Robinson-Goforth topology of 2x2 games, this paper analyzes how payoff swaps turn Prisoner's Dilemma into other games,…

Computer Science and Game Theory · Computer Science 2021-06-25 Bryan Bruns

Human decision behaviour is quite diverse. In many games humans on average do not achieve maximal payoff and the behaviour of individual players remains inhomogeneous even after playing many rounds. For instance, in repeated prisoner…

Physics and Society · Physics 2015-11-11 Martin Spanknebel , Klaus Pawelzik

So far, the theory of equilibrium selection in the infinitely repeated prisoner's dilemma is insensitive to communication possibilities. To address this issue, we incorporate the assumption that communication reduces -- but does not…

Theoretical Economics · Economics 2023-04-25 Maximilian Andres

We propose an evolutionary coordination game to formalize a simplified model of the evolution of strategies during human courtship. The dynamics, derived from the consideration of experimental observations on human social behavior driven by…

Physics and Society · Physics 2015-08-26 Andrés Chacoma , Marcelo N. Kuperman , Damián H. Zanette

Various theoretical and empirical studies have accounted for why humans cooperate in competitive environments. Although prior work has revealed that network structure and multiplex interactions can promote cooperation, most theory assumes…

Physics and Society · Physics 2026-01-05 Jnanajyoti Bhaumik , Naoki Masuda

Although recent work in AI has made great progress in solving large, zero-sum, extensive-form games, the underlying assumption in most past work is that the parameters of the game itself are known to the agents. This paper deals with the…

Machine Learning · Computer Science 2018-06-29 Chun Kai Ling , Fei Fang , J. Zico Kolter

Matrix games constitute a fundamental problem of game theory and describe a situation of two players with completely conflicting interests. We show how methods from statistical mechanics can be used to investigate the statistical properties…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. Berg , A. Engel

Real social interactions occur on networks in which each individual is connected to some, but not all, of others. In social dilemma games with a fixed population size, heterogeneity in the number of contacts per player is known to promote…

Physics and Society · Physics 2008-07-15 Naoki Masuda

Motivated by the increasing attention to overall social benefits in networked multi-agent systems, this paper investigates an optimization problem building on noncooperative games under high-level regulation, which can be formulated in a…

Optimization and Control · Mathematics 2025-12-02 Kaixin Du , Min Meng , Xiaoming Hu

We study a repeated game with payoff externalities and observable actions where two players receive information over time about an underlying payoff-relevant state, and strategically coordinate their actions. Players learn about the true…

Theoretical Economics · Economics 2018-09-05 Pathikrit Basu , Kalyan Chatterjee , Tetsuya Hoshino , Omer Tamuz

Interacting particle systems of interest in evolutionary game theory introduced in the probability literature consist of variants of the voter model in which each site is occupied by one player. The goal of this paper is to initiate the…

Probability · Mathematics 2024-12-31 Jonas Köppl , Nicolas Lanchier , Max Mercer

Nearly all simulation-based games have environment parameters that affect incentives in the interaction but are not explicitly incorporated into the game model. To understand the impact of these parameters on strategic incentives, typical…

Computer Science and Game Theory · Computer Science 2026-05-06 Madelyn Gatchel , Bryce Wiedenbeck

An active participation of players in evolutionary games depends on several factors, ranging from personal stakes to the properties of the interaction network. Diverse activity patterns thus have to be taken into account when studying the…

Physics and Society · Physics 2017-01-25 Alberto Aleta , Sandro Meloni , Matjaz Perc , Yamir Moreno

In this paper we provide three new results axiomatizing the core of games in characteristic function form (not necessarily having transferable utility) obeying an innocuous condition (that the set of individually rational pay-off vectors is…

Theoretical Economics · Economics 2024-10-01 Anindya Bhattacharya

Understanding of the atomic structures and ways in which the atoms interacting is critical to the understanding of chemistry. In this paper applied the concepts of game theory in explaining reactions between elements of the periodic table.…

Atomic and Molecular Clusters · Physics 2018-02-21 Madjid Eshaghi Gordji , Gholamreza Askari , Alireza Tavakoli Targhi

An interaction system has a finite set of agents that interact pairwise, depending on the current state of the system. Symmetric decomposition of the matrix of interaction coefficients yields the representation of states by self-adjoint…

Quantum Physics · Physics 2017-06-07 Ulrich Faigle , Michel Grabisch

Conventional noncooperative game theory hypothesizes that the joint strategy of a set of players in a game must satisfy an "equilibrium concept". All other joint strategies are considered impossible; the only issue is what equilibrium…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David H. Wolpert

This work shows that the formation of a finite number of coalitions in a nonatomic network congestion game benefits everyone. At the equilibrium of the composite game played by coalitions and individuals, the average cost to each coalition…

Computer Science and Game Theory · Computer Science 2015-03-20 Cheng Wan

We consider preference communication in two-player multi-objective normal-form games. In such games, the payoffs resulting from joint actions are vector-valued. Taking a utility-based approach, we assume there exists a utility function for…

Computer Science and Game Theory · Computer Science 2022-06-13 Willem Röpke , Diederik M. Roijers , Ann Nowé , Roxana Rădulescu
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