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A Unified Perspective of Evolutionary Game Dynamics Using Generalized Growth Transforms

2018/11/05 by Oindrila Chatterjee, Chatterjee, Oindrila, Shantanu Chakrabartty +1
Biochemistry, Genetics and Molecular Biology · Medicine · Social Sciences · #Computer Science and Game Theory (cs.GT) #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Computer and information sciences #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Neural and Evolutionary Computing (cs.NE)

paper · pdf · doi:10.48550/arxiv.1811.02010

openalex publication_date 2018/11/05 · openalex created_date 2018/11/16 · openalex updated_date 2026/07/28

Abstract

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 different dynamics arise as a result of minimizing a population energy such that the population as a whole evolves to reach the most stable state. By introducing a population dependent time-constant in the generalized growth transform model, the proposed framework can be used to explain a vast repertoire of evolutionary dynamics, including some novel forms of game dynamics with non-linear payoffs.

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