by Steven A. Frank
Summary from the back cover:
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 biologymarginal 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 generationsan 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.
This book is a great stride in our understanding of social phenomena, a vast untangling having lichens, lovers, and London all within its ambit.
Frank brings together much of the very deepest of evolutionary thought that has been added since Darwin in an exposition that could, by analogy with a great predecessor, be called a Vitae Communis Principia Mathematica.
W. D. Hamilton, University of Oxford
This is an extremely important book. The scholarship is excellent and the technical presentation is clear and easy to read. It will appeal to evolutionary biologists and ecologists, but should also be of interest to applied mathematicians, game theorists, economists, and engineers.
Marc Mangel, University of California, Santa Cruz