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Foundations of
Social Evolution
STEVEN A. FRANK
Princeton University Press
Princeton, New Jersey
Preface xi
1 Introduction 3
2 Natural Selection 7
2.1 Aggregate Quantities 8
Covariance of a Character and
Fitness; Dynamic Sufficiency
2.2 Partitions and Causal Analysis 11
The Price Equation; Causal Analysis;
Predictors and Additivity; Fisher’s
Fundamental Theorem; Kin Selection
2.3 Genotypes and Phenotypes 25
Phenotypes and Market Share;
Genetics: Constraints on Paths of
Phenotypic Evolution; Resolution: The
Spectrum of Mutations
2.4 Comparative Statics and
Dynamics 31
The Importance of Comparison; Dynamic
Assumptions in Comparative
Statics
2.5 Maximization and Measures of
Value 33
Reproductive Value; Kin Selection;
Game Theory, ESS; Difficulties
3 Hamilton’s Rule 45
3.1 Overview 46
3.2 Hamilton’s 1970 Proof 47
Direct Fitness; Inclusive Fitness;
Hamilton’s Rule
3.3 Queller’s Quantitative Genetic
Model 50
3.4 Exact–Total Models 53
Exact Hamilton’s Rule; Example:
Rebellious Child Model
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