This is a masterly theoretical treatment of one of the central
problems in evolutionary biology, the evolution of social
cooperation and conflict. Steven Frank tackles the problem with a
highly original combination of approaches: game theory, classical
models of natural selection, quantitative genetics, and kin
selection. He unites these with the best of economic thought: a
clear theory of model formation and comparative statics, the
development of simple methods for analyzing complex problems, and
notions of information and rationality. Using this unique,
multidisciplinary approach, Frank makes major advances in
understanding the foundations of social evolution.
Frank begins by developing the three measures of value used in
biology--marginal value, reproductive value, and kin selection. He
then combines these measures into a coherent framework, providing
the first unified analysis of social evolution in its full
ecological and demographic context. Frank also extends the theory
of kin selection by showing that relatedness has two distinct
meanings. The first is a measure of information about social
partners, with close affinity to theories of correlated equilibrium
and Bayesian rationality in economic game theory. The second is a
measure of the fidelity by which characters are transmitted to
future generations--an extended notion of heritability.
Throughout, Frank illustrates his methods with many examples,
including a complete reformulation of the theory of sex allocation.
The book also provides a unique "how-to" guide for constructing
models of social behavior. It is essential reading for evolutionary
biologists and for economists, mathematicians, and others
interested in natural selection.
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