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In this paper, we show that different types of evolutionary game dynamics are, in principle, special cases of a dynamical system model based on our previously reported framework of generalized growth transforms. The framework shows that…

Neural and Evolutionary Computing · Computer Science 2018-11-07 Oindrila Chatterjee , Shantanu Chakrabartty

Numerous elements drive the spread of infectious diseases in complex real-world networks. Of particular interest is social behaviors that evolve in tandem with the spread of disease. Moreover, recent studies highlight the importance of…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Benjamin Catalano , Keith Paarporn , Sebin Gracy

We study agents on a network playing an iterated Prisoner's dilemma against their neighbors. The resulting spatially extended co-evolutionary game exhibits stationary states which are Nash equilibria. After perturbation of these equilibria,…

Disordered Systems and Neural Networks · Physics 2009-11-07 Holger Ebel , Stefan Bornholdt

The stable cooperation ratio of spatial evolutionary games has been widely studied using simulations or approximate analysis methods. However, sometimes such ``stable'' cooperation ratios obtained via approximate methods might not be…

Populations and Evolution · Quantitative Biology 2023-05-01 Jiangjiang Cheng , Wenjun Mei , Wei Su , Ge Chen

A systematic theory is introduced that describes stochastic effects in game theory. In a biological context, such effects are relevant for the evolution of finite populations with frequency-dependent selection. They are characterized by…

Statistical Mechanics · Physics 2007-05-23 Michael Lassig

In this letter, we deal with evolutionary game theoretic learning processes for population games on networks with dynamically evolving communities. Specifically, we propose a novel mathematical framework in which a deterministic,…

Social and Information Networks · Computer Science 2022-03-02 Alain Govaert , Lorenzo Zino , Emma Tegling

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

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

Applying the concepts and formalisms from Evolutionary Game Theory to the data regime, the fundamental paradigms of Evolutionary Data Theory are introduced. Interpreting data in matrix form as evolutionary entities, input data is mapped to…

Neural and Evolutionary Computing · Computer Science 2026-05-27 Philipp Wissgott

A model for the evolution of a finite population in a rugged fitness landscape is introduced and solved. The population is trapped in an evolutionary loop, alternating periods of stasis to periods in which it performs adaptive walks. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Peliti

When microbes compete for limited resources, they often engage in chemical warfare using bacterial toxins. This competition can be understood in terms of evolutionary game theory (EGT). We study the predictions of EGT for the bacterial…

Populations and Evolution · Quantitative Biology 2013-11-07 Christoph Adami , Jory Schossau , Arend Hintze

Efficient dynamic spectrum access mechanism is crucial for improving the spectrum utilization. In this paper, we consider the dynamic spectrum access mechanism design with both complete and incomplete network information. When the network…

Networking and Internet Architecture · Computer Science 2012-04-13 Xu Chen , Jianwei Huang

Using the Logit quantal response form as the response function in each step, the original definition of static quantal response equilibrium (QRE) is extended into an iterative evolution process. QREs remain as the fixed points of the…

Physics and Society · Physics 2015-06-17 Qian Zhuang , Zegnru Di , Jinshan Wu

This brief discusses evolutionary game theory as a powerful and unified mathematical tool to study evolution of collective behaviours. It summarises some of my recent research directions using evolutionary game theory methods, which include…

Multiagent Systems · Computer Science 2023-11-27 The Anh Han

One of the best examples of traditional analysis of evolutionary stable strategies (ESS) is provided by the so called Dove-Hawk model. In this paper we present several enhancements to the model aimed at describing the evolution of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pawel Sobkowicz

This paper investigates the reality and accuracy of evolutionary game dynamics theory in human game behavior experiments. In classical game theory, the central concept is Nash equilibrium, which reality and accuracy has been well known…

Theoretical Economics · Economics 2021-06-18 Wang Zhijian , Yao Qingmei

Game theory provides a general mathematical background to study the effect of pair interactions and evolutionary rules on the macroscopic behavior of multi-player games where players with a finite number of strategies may represent a wide…

Physics and Society · Physics 2016-04-20 Gyorgy Szabo , Istvan Borsos

This letter establishes a novel relationship between a class of recurrent neural networks and certain evolutionary dynamics that emerge in the context of population games. Specifically, it is shown that the output of a recurrent neural…

Optimization and Control · Mathematics 2023-12-08 Julian Barreiro-Gomez , Jorge I. Poveda

Evolutionary games are a developing sub-field of game theory. This branch of game theory is used in the study of the adaptation of large, but finite, populations of agents to changes in the environment. It assumes that each agent has no…

Computer Science and Game Theory · Computer Science 2023-07-12 E. M. Lorits , E. A. Gubar

Replicator equation -- a paradigm equation in evolutionary game dynamics -- mathematizes the frequency dependent selection of competing strategies vying to enhance their fitness (quantified by the average payoffs) with respect to the…

Chaotic Dynamics · Physics 2021-02-18 Varun Pandit , Archan Mukhopadhyay , Sagar Chakraborty
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