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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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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 21 January 2021

Social Games

Social Games

Chapter:
(p.127) 5 Social Games
Source:
Evolutionary Games in Natural, Social, and Virtual Worlds
Author(s):

Daniel Friedman

Barry Sinervo

Daniel Friedman

Barry Sinervo

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199981151.003.0005

The ways in which social structures can modulate strategic interaction are explored in this chapter. It covers Bergstrom’s model of assortative matching and Hadamard products of payoff matrices and adjustment matrices that provide a unified description of sexual selection. This new approach covers the transmission across generations via memes and genes, with or without crossover and recombination, and includes an example of haploid sexual selection drawn from Fisherian runaway. The approach could be expanded to include diploid sexual systems, thus linking population genetic models with game theoretic models. The chapter ends with a presentation of the Price equation in analyzing group structure and includes a biological example of cooperation. The last section extends the Price equation to continuous time.

Keywords:   assortative matching, Hadamard product, Fisherian runaway, memes and genes, Price equation

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