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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

We present an algorithm for computing evolutionarily stable strategies (ESSs) in symmetric perfect-recall extensive-form games of imperfect information. Our main algorithm is for two-player games, and we describe how it can be extended to…

Computer Science and Game Theory · Computer Science 2025-12-15 Sam Ganzfried

A stochastic evolutionary dynamics of two strategies given by 2 x 2 matrix games is studied in finite populations. We focus on stochastic properties of fixation: how a strategy represented by a single individual wins over the entire…

Populations and Evolution · Quantitative Biology 2007-05-23 Tibor Antal , Istvan Scheuring

To our knowledge, the populations are generally assumed to be homogeneous in the traditional approach to evolutionary game dynamics. Here, we focus on the inhomogeneous populations. A simple model which can describe the inhomogeneity of the…

Physics and Society · Physics 2007-05-23 Xiaojie Chen , Feng Fu , Long Wang , Tianguang Chu

We study a dynamic game with a large population of players who choose actions from a finite set in continuous time. Each player has a state in a finite state space that evolves stochastically with their actions. A player's reward depends…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

We propose a model for evolutionary game dynamics with three strategies $A$, $B$ and $C$ in the framework of Moran process in finite populations. The model can be described as a stochastic process which can be numerically computed from a…

Physics and Society · Physics 2007-05-23 Jing Wang , Feng Fu , Long Wang , Guangming Xie

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

Evolutionary game theory has been successfully used to investigate the dynamics of systems, in which many entities have competitive interactions. From a physics point of view, it is interesting to study conditions under which a coordination…

Physics and Society · Physics 2015-05-14 Dirk Helbing , Anders Johansson

Evolutionary game dynamics in structured populations has been extensively explored in past decades. However, most previous studies assume that payoffs of individuals are fully determined by the strategic behaviors of interacting parties and…

Populations and Evolution · Quantitative Biology 2019-06-19 Qi Su , Lei Zhou , Long Wang

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

Evolutionarily stable strategy (ESS) is an important solution concept in game theory which has been applied frequently to biological models. Informally an ESS is a strategy that if followed by the population cannot be taken over by a…

Computer Science and Game Theory · Computer Science 2019-01-18 Sam Ganzfried

In social situations with which evolutionary game is concerned, individuals are considered to be heterogeneous in various aspects. In particular, they may differently perceive the same outcome of the game owing to heterogeneity in…

Populations and Evolution · Quantitative Biology 2014-03-07 Naoki Masuda

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

Evolution of distribution of strategies in game theory is an interesting question that has been studied only for specific cases. Here I develop a general method to extend analysis of the evolution of continuous strategy distributions given…

Populations and Evolution · Quantitative Biology 2020-03-16 Georgiy Karev

Evolutionary game theory has proven to be an elegant framework providing many fruitful insights in population dynamics and human behaviour. Here, we focus on the aspect of behavioural plasticity and its effect on the evolution of…

Populations and Evolution · Quantitative Biology 2020-09-29 M. Kleshnina , K. Kaveh , K. Chatterjee

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

Evolutionary game theory is a powerful framework for studying evolution in populations of interacting individuals. A common assumption in evolutionary game theory is that interactions are symmetric, which means that the players are…

Populations and Evolution · Quantitative Biology 2016-05-04 Alex McAvoy , Christoph Hauert

We conducted a laboratory experiment involving human subjects to test the theoretical hypothesis that equilibrium selection can be impacted by manipulating the games dynamics process, by using modern control theory. Our findings indicate…

General Economics · Economics 2024-11-12 Wang Zhijian , Shan Lixia , Yao Qinmei , Wang Yijia

In the original Evolutionary Minority Game, a segregation into two populations with opposing preferences is observed under many circumstances. We show that this segregation becomes more pronounced and more robust if the dynamics are changed…

Disordered Systems and Neural Networks · Physics 2009-11-07 Richard Metzler , Christian Horn

Our research is concerned with studying behavioural changes within a dynamic system, i.e. health care, and their effects on the decision-making process. Evolutionary Game theory is applied to investigate the most probable strategy(ies)…

Computer Science and Game Theory · Computer Science 2019-09-10 Zainab Alalawi , Yifeng Zeng , The Anh Han , Aiman Elragig