Mathematical Models of Social Evolution A Guide for the Perplexed

Name: Mathematical Models of Social Evolution A Guide for the Perplexed
Price: 27.75 USD
Availability: InStock
ISBN: 9780226558271

ISBN-10: 0226558274

ISBN-13: 9780226558271

Edition: 2007

Authors: Richard McElreath, Robert Boyd

List price: $30.00

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Description:

Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory,Mathematical Models of Social Evolutionaims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, Richard McElreath and Robert Boyd introduce readers to many of the typical mathematical tools that are used to analyze evolutionary models…

Book details

List price: $30.00
Copyright year: 2007
Publisher: University of Chicago Press
Publication date: 3/15/2007
Binding: Paperback
Pages: 432
Size: 6.00" wide x 8.75" long x 1.00" tall
Weight: 1.276
Language: English



Preface



Theoretician's Laboratory



The structure of evolutionary theory



The utility of simple models



Why not just simulate?



A model of viability selection



Determining long-term consequences



Nongenetic replication



Animal Conflict



The Hawk-Dove game



Retaliation



Continuous stable strategies



Ownership, an asymmetry



Resource holding power



Sequential play



Altruism & Inclusive Fitness



The prisoner's dilemma



Positive assortment



Common descent and inclusive fitness



Rediscovering Hamilton's rule



Justifying Hamilton's rule



Using Hamilton's rule



Reciprocity



The Axelrod-Hamilton model



Mutants and mistakes



Partner choice



Indirect reciprocity



Reciprocity and collective action



Animal Communication



Costly signaling theory



Cheap, honest signals



Signaling and altruism



Social learning



Selection among Groups



Three views of selection



Deriving the Price equation



Selection within and between groups



Dispersal



Sex Allocation



Fisher's theory of sex allocation



Reproductive value and Fisherian sex ratios



Using the Shaw-Mohler theorem



Biased sex ratios



Breaking the eigen barrier



Sexual Selection



Quantitative genetic models



Fisher's runaway process



Costly choice and sensory bias



Good genes and sexy sons


Appendixes



Facts about Derivatives



Facts about Random Variables



Calculating Binomial Expectations



Numerical Solution of the Kokko et al. Model



Solutions to Problems


Bibliography


Index