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Situations in which immediate self-interest and long-term collective interest conflict often require some form of influence to prevent them from leading to undesirable or unsustainable outcomes. Next to sanctioning, social influence and…

Multiagent Systems · Computer Science 2021-04-22 Kathinka Frieswijk , Alain Govaert , Ming Cao

We study the evolution of cooperation in the spatial prisoner's dilemma game, where besides unconditional cooperation and defection, tit-for-tat, win-stay-lose-shift and extortion are the five competing strategies. While pairwise imitation…

Physics and Society · Physics 2014-07-02 Attila Szolnoki , Matjaz Perc

Game theory deals with strategic interactions among players and evolutionary game dynamics tracks the fate of the players' populations under selection. In this paper, we consider the replicator equation for two-player-two-strategy games…

Adaptation and Self-Organizing Systems · Physics 2021-02-22 Sourabh Mittal , Archan Mukhopadhyay , Sagar Chakraborty

Recent studies in the spatial prisoner's dilemma games with reinforcement learning have shown that static agents can learn to cooperate through a diverse sort of mechanisms, including noise injection, different types of learning algorithms…

Artificial Intelligence · Computer Science 2025-07-08 Gustavo C. Mangold , Heitor C. M. Fernandes , Mendeli H. Vainstein

In this paper, the Optional Prisoner's Dilemma game in a spatial environment, with coevolutionary rules for both the strategy and network links between agents, is studied. Using a Monte Carlo simulation approach, a number of experiments are…

Neural and Evolutionary Computing · Computer Science 2017-12-04 Marcos Cardinot , Colm O'Riordan , Josephine Griffith

We study the evolution of cooperation within the spatial prisoner's dilemma game on a square lattice where a fraction of players $\mu$ can spread their strategy more easily than the rest due to a predetermined larger teaching capability. In…

Physics and Society · Physics 2008-12-02 Matjaz Perc , Attila Szolnoki , Gyorgy Szabo

We analyze the influence of multiplayer interactions and network adaptation on the stability of equilibrium points in evolutionary games. We consider the Snowdrift game with both two-player and three-player interactions on simplicial…

Adaptation and Self-Organizing Systems · Physics 2022-06-08 Daniela Schlager , Konstantin Clauß , Christian Kuehn

We consider two-player iterated survival games in which players may switch from a more cooperative behavior to a less cooperative one at some step of the game. Payoffs are survival probabilities and lone individuals have to finish the game…

Populations and Evolution · Quantitative Biology 2021-02-18 Olivier Salagnac , John Wakeley

We study the evolution of cooperation in the spatial prisoner's dilemma game where players are allowed to establish new interactions with others. By employing a simple coevolutionary rule entailing only two crucial parameters, we find that…

Physics and Society · Physics 2011-12-30 Chunyan Zhang , Jianlei Zhang , Guangming Xie , Long Wang , Matjaz Perc

Simulating bipartite games, such as the trust game, is not straightforward due to the lack of a natural way to distinguish roles in a single population. The square lattice topology can provide a simple yet elegant solution by alternating…

Physics and Society · Physics 2025-08-12 Chaoqian Wang , Wei Zhang , Xinwei Wang , Attila Szolnoki

Repeated games have a long tradition in the behavioral sciences and evolutionary biology. Recently, strategies were discovered that permit an unprecedented level of control over repeated interactions by enabling a player to unilaterally…

Populations and Evolution · Quantitative Biology 2016-10-25 Alex McAvoy , Christoph Hauert

Competition among cooperators, defectors, and loners is studied in an evolutionary prisoner's dilemma game with optional participation. Loners are risk averse i.e. unwilling to participate and rather rely on small but fixed earnings. This…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gyorgy Szabo , Christoph Hauert

The world in which we are living is a huge network of networks and should be described by interdependent networks. The interdependence between networks significantly affects the evolutionary dynamics of cooperation on them. Meanwhile, due…

Physics and Society · Physics 2015-06-19 Baokui Wang , Zhenhua Pei , Long Wang

Understanding the conditions for maintaining cooperation in groups of unrelated individuals despite the presence of non-cooperative members is a major research topic in contemporary biological, sociological, and economic theory. The…

Populations and Evolution · Quantitative Biology 2024-04-09 José F. Fontanari , Mauro Santos

In times of plenty expectations rise, just as in times of crisis they fall. This can be mathematically described as a Win-Stay-Lose-Shift strategy with dynamic aspiration levels, where individuals aspire to be as wealthy as their average…

Physics and Society · Physics 2016-10-04 Marco A. Amaral , Lucas Wardil , Matjaz Perc , Jafferson K. L. da Silva

We study a system in which N agents have to decide between two strategies \theta_i (i \in 1... N), for defection or cooperation, when interacting with other n agents (either spatial neighbors or randomly chosen ones). After each round, they…

Physics and Society · Physics 2012-11-07 Frank Schweitzer , Pavlin Mavrodiev , Claudio J. Tessone

Cost of time passing plays an important role when investigate the collective behaviour in real world. Each rational individual can get a more reasonable strategy by comprehensively considering the time cost. Motivated by the fact, we here…

Physics and Society · Physics 2020-09-28 Hancheng Wang

We study a model for switching strategies in the Prisoner's Dilemma game on adaptive networks of player pairings that coevolve as players attempt to maximize their return. We use a node-based strategy model wherein each player follows one…

Social and Information Networks · Computer Science 2017-07-25 Hsuan-Wei Lee , Nishant Malik , Peter J. Mucha

I present the results from a spatial model of the prisoner's dilemma, played on a toroidal lattice. Each individual has a default strategy of either cooperating ($C$) or defecting ($D$). Two strategies were tested, including ``tit-for-tat''…

Physics and Society · Physics 2026-02-04 Gregg Hartvigsen

The recent discovery of zero-determinant strategies for the iterated Prisoner's Dilemma sparked a surge of interest in the surprising fact that a player can exert unilateral control over iterated interactions. These remarkable strategies,…

Populations and Evolution · Quantitative Biology 2016-04-12 Alex McAvoy , Christoph Hauert