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Nash Equilibrium in Social Evolution

#mathematics #biology #economics #evolution

Apply game theory concepts to evolutionary biology and social dynamics.

Define the concept of a Nash Equilibrium in the context of non-cooperative games. Extend this concept to Evolutionary Game Theory and explain the Evolutionarily Stable Strategy (ESS). Discuss how theoretical models of altruism and cooperation, such as the Prisoner's Dilemma and the Hawk-Dove game, explain the emergence of cooperative behavior in a biological population driven by natural selection and selfish genes.