From Darwin to Poincaré and von Neumann - Recurrence and Cycles in Evolutionary and Algorithmic Game Theory

Victor Boone
Victor Boone

WINE, pp. 85-99, 2019.

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Abstract:

Replicator dynamics, the continuous-time analogue of Multiplicative Weights Updates, is the main dynamic in evolutionary game theory. In simple evolutionary zero-sum games, such as Rock-Paper-Scissors, replicator dynamic is periodic \cite{zeeman1980population}, however, its behavior in higher dimensions is not well understood. We provid...More

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