2011Journal of Biological DynamicsRequires access

Darwinian dynamics and evolutionary game theory

Thomas L. Vincent, Thomas L. Vincent, Tania L.S. Vincent, Tania L.S. Vincent, Yosef A. Cohen

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Abstract

Evolutionary games, here modelled by systems of ordinary differential equations, encapsulate Darwin's theory of evolution by natural selection. An evolutionary game can reach a local minimum, allowing invasion by mutants to drive the system out of its minimum and engender speciation. Games based on optimality considerations do not resist invasion. Nash equilibrium does not resolve to evolutionary stable strategies – mutants can invade existing communities of species.

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What this paper is about

Evolutionary games, here modelled by systems of ordinary differential equations, encapsulate Darwin's theory of evolution by natural selection. An evolutionary game can reach a local minimum, allowing invasion by mutants to drive the system out of its minimum and engender speciation. Games based on optimality considerations do not resist invasion. Nash equilibrium does not resolve to evolutionary stable strategies – mutants can invade existing communities of species.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Evolutionary games, here modelled by systems of ordinary differential equations, encapsulate Darwin's theory of evolution by natural selection. An evolutionary game can reach a local minimum, allowing invasion by mutants to drive the system out of its minimum and engender speciation. Games based on optimality considerations do not resist invasion. Nash equilibrium does not resolve to evolutionary stable strategies – mutants can invade existing communities of species.

Key concepts: Evolutionary dynamics, Evolutionary game theory, Darwinism, Natural selection, Evolutionarily stable strategy, Nash equilibrium, Genetic algorithm, Evolutionary biology

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