Part 1 Introduction: game theory; equilibrium; evolutionary games; evolution; evolution and equilibrium; the path ahead. Part 2 The evolution of models: evolutionarily stable strategies; alternative notions of evolutionary stability; synamic systems. Part 3 A model of evolution: the aspiration and imitation model; time; sample paths; stationary distributions; limits. Appendix: proofs. Part 4 The dynamics of sample paths: dynamics; equilibrium; strictly dominated strategies; weakly dominated strategies. Appendix: proofs. Part 5 The ultimatum game: the ultimatum game; an ultimatum minigame; numerical calculations; relevance to experimental data? leaving money on the table. Appendix: proofs. Part 6 Drift: introduction; the model; when can drift be ignored? when drift matters; examples; discussion. Part 7 Noise: the model; limit distributions; alternative best replies; trembles. Appendix: proofs. Part 8 Backward and forward induction: introduction; the model; recurrent outcomes; backward induction; forward induction; markets. appendix: proofs. Part 9 Strict Nash equilibria: a muddling model; dynamics; equilibrium selection; risk dominance; discussion. Part 10 Conclusion.
"Larry Samuelson is one of the leading figures in the burgeoning
field of evolutionary game theory. This book is a careful and lucid
exposition of some of the developments in which he has made
pioneering contributions."--Eric S. Maskin, Professor of Economics,
Harvard University
& quot; Larry Samuelson is one of the leading figures in the
burgeoning field of evolutionary game theory. This book is a
careful and lucid exposition of some of the developments in which
he has made pioneering contributions.& quot; -- Eric S. Maskin,
Professor of Economics, Harvard University
" Larry Samuelson is one of the leading figures in the burgeoning
field of evolutionary game theory. This book is a careful and lucid
exposition of some of the developments in which he has made
pioneering contributions." -- Eric S. Maskin, Professor of
Economics, Harvard University
-- Eric S. Maskin, Professor of Economics, Harvard University
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