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Purpose: We propose a model to present a possible mechanism for obtaining sizeable behavioural structures by simulating an agent based on the evolutionary public good game with available social learning. Methods: The model considered a…

Computer Science and Game Theory · Computer Science 2019-10-29 Chulwook Park

Holding on to one's strategy is natural and common if the later warrants success and satisfaction. This goes against widespread simulation practices of evolutionary games, where players frequently consider changing their strategy even…

Populations and Evolution · Quantitative Biology 2012-05-04 Yongkui Liu , Xiaojie Chen , Lin Zhang , Long Wang , Matjaz Perc

Cooperative behavior is prevalent in both human society and nature. Understanding the emergence and maintenance of cooperation among self-interested individuals remains a significant challenge in evolutionary biology and social sciences.…

Artificial Intelligence · Computer Science 2024-06-26 Lanyu Yang , Dongchun Jiang , Fuqiang Guo , Mingjian Fu

The analysis of equilibrium points in random games has been of great interest in evolutionary game theory, with important implications for understanding of complexity in a dynamical system, such as its behavioural, cultural or biological…

Analysis of PDEs · Mathematics 2018-07-09 Manh Hong Duong , Hoang Minh Tran , The Anh Han

Spatial games are crucial for understanding patterns of cooperation in nature (and to some extent society). They are known to be more sensitive to local symmetries than e.g. spin models. This paper concerns the evolution of the prisoner's…

Physics and Society · Physics 2009-09-15 Zhi-Xi Wu , Petter Holme

We construct two models of discrete-time replicator dynamics with time delay. In the social-type model, players imitate opponents taking into account average payoffs of games played some units of time ago. In the biological-type model, new…

Populations and Evolution · Quantitative Biology 2013-05-30 Jan Alboszta , Jacek Miekisz

We investigate the effects of update rules on the dynamics of an evolutionary game-theoretic model - the N-player evolutionary trust game - consisting of three types of players: investors, trustworthy trustees, and untrustworthy trustees.…

Computer Science and Game Theory · Computer Science 2017-12-20 Manuel Chica , Raymond Chiong , Jose Ramasco , Hussein Abbass

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

Game Theory has been frequently applied in biological research since 1970s. While the key idea of Game Theory is Nash Equilibrium, it is critical to understand and figure out the payoff matrix in order to calculate Nash Equilibrium. In this…

Populations and Evolution · Quantitative Biology 2009-04-29 Chen Shi , Fang Yuan

We examine the tuning of cooperative behavior in repeated multi-agent games using an analytically tractable, continuous-time, nonlinear model of opinion dynamics. Each modeled agent updates its real-valued opinion about each available…

Physics and Society · Physics 2021-11-24 Shinkyu Park , Anastasia Bizyaeva , Mari Kawakatsu , Alessio Franci , Naomi Ehrich Leonard

In this paper we present results and analyses of a class of games in which heterogeneous agents are rewarded for being in a minority group. Each agent possesses a number of fixed strategies each of which are predictors of the next minority…

adap-org · Physics 2007-05-23 Radu Manuca , Yi Li , Rick Riolo , Robert Savit

Two-player stochastic games are games with two 2 players and a randomised entity called "nature". A natural question to ask in this framework is the existence of strategies that ensure that an event happens with probability 1 (almost-sure…

Computer Science and Game Theory · Computer Science 2018-06-27 Youssouf Oualhadj , Léo Tible , Daniele Varacca

The emergence and prevalence of cooperative behavior within a group of selfish individuals remains a puzzle for \text{evolutionary game theory} precisely because it conflicts directly with the central idea of natural selection. Accordingly,…

Physics and Society · Physics 2019-08-29 Paulo Victor Santos Souza , Rafael Silva , Chris T. Bauch , Daniel Girardi

The classical idea of evolutionarily stable strategy (ESS) modeling animal behavior does not involve any spatial dependence. We considered a spatial Hawk-Dove game played by animals in a patchy environment with wrap around boundaries. We…

Populations and Evolution · Quantitative Biology 2020-07-01 Ozgur Aydogmus

In this paper, we formulate an evolutionarymultiple access control game with continuousvariable actions and coupled constraints. We characterize equilibria of the game and show that the pure equilibria are Pareto optimal and also resilient…

Computer Science and Game Theory · Computer Science 2015-03-19 Quanyan Zhu , Hamidou Tembine , Tamer Basar

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

Consider a system in which players at nodes of an underlying graph G repeatedly play Prisoner's Dilemma against their neighbors. The players adapt their strategies based on the past behavior of their opponents by applying the so-called…

Discrete Mathematics · Computer Science 2008-12-08 Gabriel Istrate , Madhav V. Marathe , S. S. Ravi

Multi-agent learning is a challenging problem in machine learning that has applications in different domains such as distributed control, robotics, and economics. We develop a prescriptive model of multi-agent behavior using Markov games.…

Artificial Intelligence · Computer Science 2020-05-27 Jalal Etesami , Christoph-Nikolas Straehle

Microscopic strategy update rules play an important role in the evolutionary dynamics of cooperation among interacting agents on complex networks. Many previous related works only consider one \emph{fixed} rule, while in the real world,…

Optimization and Control · Mathematics 2023-11-27 Shengxian Wang , Weijia Yao , Ming Cao , Xiaojie Chen

Evolutionary game theory, encompassing discrete, continuous, and mixed strategies, is pivotal for understanding cooperation dynamics. Discrete strategies involve deterministic actions with a fixed probability of one, whereas continuous…

Populations and Evolution · Quantitative Biology 2024-09-13 Zehua Si , Zhixue He , Chen Shen , Jun Tanimoto