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Evolutionary Games in Natural, Social, and Virtual Worlds$
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Daniel Friedman and Barry Sinervo

Print publication date: 2016

Print ISBN-13: 9780199981151

Published to Oxford Scholarship Online: August 2016

DOI: 10.1093/acprof:oso/9780199981151.001.0001

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Dynamics in n-Dimensional Games

Dynamics in n-Dimensional Games

(p.64) 3 Dynamics in n-Dimensional Games
Evolutionary Games in Natural, Social, and Virtual Worlds

Daniel Friedman

Barry Sinervo

Daniel Friedman

Barry Sinervo

Oxford University Press

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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