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  1. Chaos and the Explanatory Significance of Equilibrium: Strange Attractors in Evolutionary Game Dynamics.Brian Skyrms - 1992 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:374-394.
    This paper discusses the explanatory significance of the equilibrium concept in the context of an example of extremely complicated dynamical behavior. In particular, numerical evidence is presented for the existence of chaotic dynamics on a "strange attractor" in the evolutionary game dynamics introduced by Taylor and Jonker [also known as the "replicator dynamics"]. This phenomenon is present already in four strategy evolutionary games where the dynamics takes place in a simplex in three dimensional space-the lowest number of dimensions in which (...)
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  • Deterministic Chaos and the Evolution of Meaning.Elliott O. Wagner - 2012 - British Journal for the Philosophy of Science 63 (3):547-575.
    Common wisdom holds that communication is impossible when messages are costless and communicators have totally opposed interests. This article demonstrates that such wisdom is false. Non-convergent dynamics can sustain partial information transfer even in a zero-sum signalling game. In particular, I investigate a signalling game in which messages are free, the state-act payoffs resemble rock–paper–scissors, and senders and receivers adjust their strategies according to the replicator dynamic. This system exhibits Hamiltonian chaos and trajectories do not converge to equilibria. This persistent (...)
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  • Population Games and Evolutionary Dynamics.William H. Sandholm - 2010 - MIT Press.
    A systematic, rigorous, comprehensive, and unified overview of evolutionary game theory.
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  • Equilibrium explanation.Elliott Sober - 1983 - Philosophical Studies 43 (2):201 - 210.
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