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Related papers: Is the public goods game a chaotic system?

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How cooperation can evolve between players is an unsolved problem of biology. Here we use Hamiltonian dynamics of models of the Ising type to describe populations of cooperating and defecting players to show that the equilibrium fraction of…

Populations and Evolution · Quantitative Biology 2018-06-27 Christoph Adami , Arend Hintze

We study games with finitely many participants, each having finitely many choices. We consider the following categories of participants: (I) populations: sets of nonatomic agents, (II) atomic splittable players, (III) atomic non splittable…

Optimization and Control · Mathematics 2015-10-22 Sylvain Sorin , Cheng Wan

Cooperation among self-interested players in a social dilemma is fragile and easily interrupted by mistakes. In this work, we study the repeated $n$-person public-goods game and search for a strategy that forms a cooperative Nash…

Populations and Evolution · Quantitative Biology 2018-04-20 Yohsuke Murase , Seung Ki Baek

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

Chaotic Dynamics · Physics 2011-09-22 Tobias Galla , J. Doyne Farmer

Prosocial behaviors are encountered in the donation game, the prisoner's dilemma, relaxed social dilemmas, and public goods games. Many studies assume that the population structure is homogeneous, meaning all individuals have the same…

Populations and Evolution · Quantitative Biology 2020-05-28 Alex McAvoy , Benjamin Allen , Martin A. Nowak

The dynamics of a single microscopic or mesoscopic non quantum system interacting with a macroscopic environment is generally stochastic. In the same way, the reduced density operator of a single quantum system interacting with a…

Quantum Physics · Physics 2020-04-06 Fabrice Debbasch

We study the complexity of several combinatorial problems in the model of binary networked public goods games. In this game, players are represented by vertices in a network, and the action of each player can be either investing or not…

Computer Science and Game Theory · Computer Science 2020-12-08 Yongjie Yang , Jianxin Wang

Public Goods Games represent one of the most useful tools to study group interactions between individuals. However, even if they could provide an explanation for the emergence and stability of cooperation in modern societies, they are not…

Physics and Society · Physics 2016-05-05 Sandro Meloni , Cheng-Yi Xia , Yamir Moreno

In this work we aim to analyze the role of noise in the spatial Public Goods Game, one of the most famous games in Evolutionary Game Theory. The dynamics of this game is affected by a number of parameters and processes, namely the topology…

Physics and Society · Physics 2017-04-18 Marco Alberto Javarone , Federico Battiston

We investigate different versions of the minority game, a toy model for agents buying and selling a commodity. The Hamming distance between the strategies used by agents to take decisions is introduced as an analytical tool to determine…

adap-org · Physics 2009-10-31 R. D'hulst , G. J. Rodgers

Cooperation in repeated public goods game is hardly achieved, unless contingent behavior is present. Surely, if mechanisms promoting positive assortment between cooperators are present, then cooperators may beat defectors, because…

Physics and Society · Physics 2020-06-24 Lucas Wardil , Marco A. Amaral

Most of previous studies concerning the Public Goods Game assume either participation is unconditional or the number of actual participants in a competitive group changes over time. How the fixed group size, prescribed by social…

Physics and Society · Physics 2015-05-13 Te Wu , Feng Fu , Long Wang

Motivated by game-theoretic models of crowd motion dynamics, this paper analyzes a broad class of distributed games with jump diffusions within the recently developed $\alpha$-potential game framework. We demonstrate that analyzing the…

Optimization and Control · Mathematics 2026-04-17 Xin Guo , Xinyu Li , Yufei Zhang

We study public goods games, a type of game where every player has to decide whether or not to produce a good which is public, i.e., neighboring players can also benefit from it. Specifically, we consider a setting where the good is…

Computer Science and Game Theory · Computer Science 2024-03-01 Jérémi Do Dinh , Alexandros Hollender

Understanding and resolving cooperation dilemmas are key challenges in evolutionary game theory, which have revealed several mechanisms to address them. This paper investigates the comprehensive influence of multiple reputation-related…

Physics and Society · Physics 2025-04-10 Kai Xie , Attila Szolnoki

Over the past few decades, many works have studied the evolutionary dynamics of continuous games. However, previous works have primarily focused on two-player games with pairwise interactions. Indeed, group interactions rather than pairwise…

Physics and Society · Physics 2025-04-10 Jing Luo , Duozi Lin , Xiaojie Chen , Attila Szolnoki

Potential game is an emerging notion and framework for studying N-player games, especially with heterogeneous players. In this paper, we build an analytical framework for dynamic potential games. We prove that a game is a dynamic potential…

Optimization and Control · Mathematics 2024-09-09 Xin Guo , Yufei Zhang

Due to limited cognitive skills for perceptual error or other emotional reasons, players may keep their current strategies even if there is a more promising choice. Such behavior inertia has already been studied, but its consequences…

Statistical Mechanics · Physics 2023-03-15 Chaoqian Wang , Attila Szolnoki

Chaos in classical systems has been studied in plenty over many years. Although the search for chaos in quantum systems has been an area of prominent research over the last few decades, the detailed analysis of many inherently chaotic…

Quantum Physics · Physics 2020-01-14 Aditi Pradeep , S. Anupama , C. Sudheesh

We study the complexity of computing equilibria in binary public goods games on undirected graphs. In such a game, players correspond to vertices in a graph and face a binary choice of performing an action, or not. Each player's decision…

Computer Science and Game Theory · Computer Science 2023-05-22 Max Klimm , Maximilian J. Stahlberg