Mathematical models of social evolution : a guide for the perplexed /
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| Author / Creator: | McElreath, Richard, 1973- |
|---|---|
| Imprint: | Chicago : University of Chicago Press, 2007. |
| Description: | xiii, 414 p. : ill. ; 24 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| Local Note: | University of Chicago Library's c.2 is in hardcover; c.3 is in softcover, c.4 is in paperback. |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/6330126 |
Table of Contents:
- Preface
- 1. Theoretician's Laboratory
- 1.1. The structure of evolutionary theory
- 1.2. The utility of simple models
- 1.3. Why not just simulate?
- 1.4. A model of viability selection
- 1.5. Determining long-term consequences
- 1.6. Nongenetic replication
- 2. Animal Conflict
- 2.1. The Hawk-Dove game
- 2.2. Retaliation
- 2.3. Continuous stable strategies
- 2.4. Ownership, an asymmetry
- 2.5. Resource holding power
- 2.6. Sequential play
- 3. Altruism & Inclusive Fitness
- 3.1. The prisoner's dilemma
- 3.2. Positive assortment
- 3.3. Common descent and inclusive fitness
- 3.4. Rediscovering Hamilton's rule
- 3.5. Justifying Hamilton's rule
- 3.6. Using Hamilton's rule
- 4. Reciprocity
- 4.1. The Axelrod-Hamilton model
- 4.2. Mutants and mistakes
- 4.3. Partner choice
- 4.4. Indirect reciprocity
- 4.5. Reciprocity and collective action
- 5. Animal Communication
- 5.1. Costly signaling theory
- 5.2. Cheap, honest signals
- 5.3. Signaling and altruism
- 5.4. Social learning
- 6. Selection among Groups
- 6.1. Three views of selection
- 6.2. Deriving the Price equation
- 6.3. Selection within and between groups
- 6.4. Dispersal
- 7. Sex Allocation
- 7.1. Fisher's theory of sex allocation
- 7.2. Reproductive value and Fisherian sex ratios
- 7.3. Using the Shaw-Mohler theorem
- 7.4. Biased sex ratios
- 7.5. Breaking the eigen barrier
- 8. Sexual Selection
- 8.1. Quantitative genetic models
- 8.2. Fisher's runaway process
- 8.3. Costly choice and sensory bias
- 8.4. Good genes and sexy sons
- Appendixes
- A. Facts about Derivatives
- B. Facts about Random Variables
- C. Calculating Binomial Expectations
- D. Numerical Solution of the Kokko et al. Model
- E. Solutions to Problems
- Bibliography
- Index
