Mathematical Models of Social Evolution A Guide for the Perplexed

ISBN-10: 0226558274

ISBN-13: 9780226558271

Edition: 2007

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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 and end each chapter with a set of problems that draw upon these techniques.Mathematical Models of Social Evolutionequips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, McElreath and Boyd’s goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.
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Book details

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
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