Dynamics in n-Dimensional Games
Dynamics in n-Dimensional Games
This chapter analyzes more complex forms of interaction. Using the rock-paper-scissors game of the European common lizard as an example, it introduces helpful geometric techniques for analyzing 3 × 3 and higher dimensional games and shows how to extend them to nonlinear games. The authors then consider two-population games, both the usual “asymmetric” analysis and own-population effects. The chapter also introduces more general dynamics than replicator, including several forms of monotone dynamics. Finally, it explains how to estimate the payoff matrix from time-series data on the side-blotched lizard using maximum likelihood techniques and state-of-the-art multinomial logit and Dirichlet models.
Keywords: rock-paper-scissors, buyer-seller, two-population games, own-population effects, between-population effects, simplex sectoring, maximum likelihood, Dirichlet
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