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Spatial many-species predator-prey systems have been shown to yield very rich space-time patterns. This observation begs the question whether there exist universal mechanisms for generating this type of emerging complex patterns in…

Statistical Mechanics · Physics 2019-06-18 Barton L. Brown , Hildegard Meyer-Ortmanns , Michel Pleimling

Understanding the evolutionary dynamics of reinforcement learning under multi-agent settings has long remained an open problem. While previous works primarily focus on 2-player games, we consider population games, which model the strategic…

Multiagent Systems · Computer Science 2020-06-30 Shuyue Hu , Chin-Wing Leung , Ho-fung Leung , Harold Soh

This paper unifies the concepts of evolutionary games and quantum strategies. First, we state the formulation and properties of classical evolutionary strategies, with focus on the destinations of evolution in 2-player 2-strategy games. We…

Quantum Physics · Physics 2011-04-21 Ming Lam Leung

This article investigates an evolutionary game based on the framework of interacting particle systems. Each point of the square lattice is occupied by a player who is characterized by one of two possible strategies and is attributed a…

Probability · Mathematics 2015-05-19 N. Lanchier

Can we describe social systems quantitatively and predictively, when we know all the actions, interactions, and states of individuals? We interpret human societies as co-evolutionary systems of individuals and their interactions. Based on…

Physics and Society · Physics 2018-11-21 Stefan Thurner

We study the evolution of two mutually interacting games with both pairwise games as well as the public goods game on different topologies. On 2d square lattices, we reveal that the game-game interaction can promote the cooperation…

Physics and Society · Physics 2022-05-06 Rizhou Liang , Qinqin Wang , Jiqiang Zhang , Guozhong Zheng , Lin Ma , Li Chen

A periodic behavior is a well observed phenomena in biological and economical systems. We show that evolutionary games on graphs with imitation dynamics can display periodic behavior for an arbitrary choice of game theoretical parameters…

Dynamical Systems · Mathematics 2018-05-11 Jeremias Epperlein , Vladimír Švígler

We examine a two-person game we call Will-Testing in which the strategy space for both players is a real number. It has no equilibrium. When an infinitely large set of players plays this in all possible pairings, there is an equilibrium for…

Computer Science and Game Theory · Computer Science 2012-06-28 Leonid Gurvits , J. Stephen Judd

In evolutionary game theory, repeated two-player games are used to study strategy evolution in a population under natural selection. As the evolution greatly depends on the interaction structure, there has been growing interests in studying…

Computer Science and Game Theory · Computer Science 2011-02-21 Colin Cooper , Martin Dyer , Velumailum Mohanaraj

We study an evolutionary version of the Prisoner's Dilemma game, played by agents placed in a small-world network. Agents are able to change their strategy, imitating that of the most successful neighbor. We observe that different…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Guillermo Abramson , Marcelo Kuperman

Generalizing the cyclically competing three-species model (often referred to as the rock-paper-scissors game), we consider a simple system of population dynamics without spatial structures that involves four species. Unlike the previous…

Populations and Evolution · Quantitative Biology 2011-01-06 Sara O. Case , Clinton H. Durney , Michel Pleimling , R. K. P. Zia

How to promote the innovative activities is an important problem for modern society. In this paper, combining with the evolutionary games and information spreading, we propose a lattice model to investigate dynamics of human innovative…

Physics and Society · Physics 2013-03-05 Ying-Ting Lin , Xiao-Pu Han , Bing-Hong Wang

We present a model that takes into account the coupling between evolutionary game dynamics and social influence. Importantly, social influence and game dynamics take place in different domains, which we model as different layers of a…

Physics and Society · Physics 2017-02-22 Roberta Amato , Albert Díaz-Guilera , Kaj-Kolja Kleineberg

We use analytical techniques based on an expansion in the inverse system size to study the stochastic evolutionary dynamics of finite populations of players interacting in a repeated prisoner's dilemma game. We show that a mechanism of…

Populations and Evolution · Quantitative Biology 2012-04-20 Alex J. Bladon , Tobias Galla , Alan J. McKane

Evolutionary games provide the theoretical backbone for many aspects of our social life: from cooperation to crime, from climate inaction to imperfect vaccination and epidemic spreading, from antibiotics overuse to biodiversity…

Physics and Society · Physics 2020-11-04 I. Sendiña-Nadal , I. Leyva , M. Perc , D. Papo , M. Jusup , Z. Wang , J. A. Almendral , P. Manshour , S. Boccaletti

How coperation between self-interested individuals evolve is a crucial problem, both in biology and in social sciences, that is far from being well understood. Evolutionary game theory is a useful approach to this issue. The simplest model…

Cellular Automata and Lattice Gases · Physics 2007-12-21 H. Fort

We study a modified prisoner's dilemma game taking place on two-dimensional disordered square lattices. The players are pure strategists and can either cooperate or defect with their immediate neighbors. In the generations each player…

Physics and Society · Physics 2007-05-23 Zhi-Xi Wu , Xin-Jian Xu , Zi-Gang Huang , Sheng-Jun Wang , Ying-Hai Wang

In population games, a large population of players, modeled as a continuum, is divided into subpopulations, and the fitness or payoff of each subpopulation depends on the overall population composition. Evolutionary dynamics describe how…

Optimization and Control · Mathematics 2016-09-19 M. A. Mabrok , Jeff Shamma

Games have always been a popular test bed for artificial intelligence techniques. Game developers are always in constant search for techniques that can automatically create computer games minimizing the developer's task. In this work we…

Neural and Evolutionary Computing · Computer Science 2014-06-03 Zahid Halim

Cooperation is a major factor in the evolution of human societies. The structure of human social networks, which affects the dynamics of cooperation and other interpersonal phenomena, have common structural signatures. One of these…

Social and Information Networks · Computer Science 2018-07-10 Babak Fotouhi , Naghmeh Momeni , Benjamin Allen , Martin A. Nowak