Evolutionary games in natural, social, and virtual worlds:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Oxford University Press
[2016]
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xv, 417 Seiten Illustrationen, Diagramme |
| ISBN: | 9780199981151 |
Internformat
MARC
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Datensatz im Suchindex
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Titel: Evolutionary games in natural, social, and virtual worlds
Autor: Friedman, Daniel
Jahr: 2016
CONTENTS Preface xi PART ONE Basics 1. Population Dynamics 3 1.1. Fitness 4 1.2. Tradeoffs and fitness dependence 5 1.3. Dependence on environment, density and frequency 8 1.4. State space geometry 9 1.5. Memes and genes 12 1.6. Finite populations and randomness 13 1.7. Replicator dynamics in discrete time 13 1.8. Replicator dynamics in continuous time 15 1.9. Steady states and stability 16 1.10. Sexual dynamics 18 1.11. Discussion 25 Appendix A: Derivation of the Fisher equation 25 Appendix B: Replicator dynamics, mean fitness, and entropy 26 Exercises 29 Notes 30 Bibliography 32 2. Simple Frequency Dependence 33 2.1. The Hawk-Dove game 34 2.2. H-D parameters and dynamics 36 2.3. The three kinds of 2 x 2 games 40 2.4. Dilemmas played by viruses and eBay sellers 45 2.5. Nonlinear frequency dependence 49 2.6. RPS and the simplex 51 2.7. Replicator dynamics for RPS 53
CONTENTS 2.8. Discussion 58 Appendix: Payoff differences in 3 x 3 games 59 Exercises 60 Notes 62 Bibliography 63 3. Dynamics in «-Dimensional Games 64 3.1. Sectoring the 2-d simplex 64 3.2. Estimating 3 x 3 payoff matrices 69 3.3. More strategies 73 3.4. Nonlinear frequency dependence 77 3.5. Two-population games: The square 78 3.6. Hawk-Dove with two populations 81 3.7. Own-population effects 83 3.8. Higher-dimensional games 87 3.9. Alternative dynamics 87 3.10. Discussion 90 Appendix: Estimating 3x3 payoff matrices 91 Exercises 98 Notes 99 Bibliography 100 4. Equilibrium 102 4.1. Equilibrium in 1 dimension 103 4.2. Nash equilibrium with n strategies 106 4.3. ESS with n strategies 107 4.4. Equilibrium in multi-population games 114 4.5. Fisherian runaway equilibrium 115 4.6. Discussion 117 Appendix: Techniques to Assess Stability 118 Exercises 124 Notes 125 Bibliography 125 5. Social Games 127 5.1. Assortative matching 128 5.2. Social twists 131 5.3. Inheritance from two parents 135 5.4. The standard Price equation 141
Contents vii 5.5. Group-structured Price equation and cooperation 143 5.6. Group structure and assortativity in lizards 145 5.7. Price equation in continuous time 147 5.8. Discussion 149 Appendix: Equilibrium in the Kirkpatrick (1982) model 149 Exercises 152 Notes 152 Bibliography 153 6. Cellular Automaton Games 155 6.1. Specifying a CA 155 6.2. Prisoners dilemma 158 6.3. Snowdrift 159 6.4. Public goods games with two strategies 160 6.5. Spatial rock-paper-scissors dynamic 163 6.6. Application to bacterial strains 166 6.7. Buyer-Seller game as a two-population CA 168 Exercises 170 Notes 171 Bibliography 172 PART TWO APPLICATIONS 7. Rock-Paper-Scissors Everywhere 177 7.1. Some RPS theory 178 7.2. Humans play RPS in the lab 183 7.3. RPS mating systems 187 7.4. Predators learn 194 7.5. A co-evolutionary model of predators and prey 196 7.6. Discussion 203 Appendix 204 Exercises 206 Notes 208 Bibliography 209 8. Learning in Games 212 8.1. Perspectives on learning and evolution 213 8.2. An empirical example 214 8.3. Learning rules 215
CONTENTS viii 8.4. Decision rules 217 8.5. Estimating a model 219 8.6. Results 221 8.7. Learning in continuous time 223 8.8. Other models of learning 226 8.9. Open frontiers 229 Appendix: Towards models of learning in continuous time 231 Exercises 232 Notes 233 Bibliography 234 9. Contingent Life-Cycle Strategies 236 9.1. Hawks, doves, and plasticity 238 9.2. Costly plasticity 242 9.3. Classic life-cycle analysis 244 9.4. Strategic life-cycle analysis: Two periods 245 9.5. Strategic life-cycle analysis: More general cases 248 9.6. Application: Male elephant seals 250 9.7. Discussion 257 Appendix: Formalizing a perfect lifetime equilibrium 259 Exercises 261 Notes 262 Bibliography 263 10. The Blessing and the Curse of the Multiplicative Updates 265 Manfred K. Warmuth 10.1. Demonstrating the blessing and the curse 266 10.2. Dispelling the curse 270 10.3. Discussion 284 Notes 286 Bibliography 287 11. Traffic Games 290 John Musacchio 11.1. Simple non-atomic traffic games 291 11.2. Braess’s paradox 294 11.3. The price of anarchy with nonlinear latency functions 296 11.4. Pigovian taxes 298 11.5. Selfish pricing 299
Contents ix 11.6. Circuit analogy 302 11.7. Discussion 308 Exercises 309 Notes 311 Bibliography 311 12. International Trade and the Environment 312 Matthew McGinty 12.1. Economics and Evolutionary Game Theory 313 12.2. Static Cournot model 314 12.3. Green technology diffusion 317 12.4. International trade 321 12.5. International trade and pollution taxation 326 12.6. Other economic applications 328 Exercises 331 Notes 334 Bibliography 334 13. Evolution of Cooperation 336 13.1. Coordination, cooperation, and social dilemmas 337 13.2. Solution K: Kin selection 339 13.3. Solution R: Bilateral reciprocity 343 13.4. Social preferences: A problematic solution 345 13.5. Early human niches 348 13.6. Solution M: Moral memes 352 13.7. Illustrative models 354 13.8. Prehistoric and historic moral codes 357 13.9. Discussion 361 Exercises 361 Notes 362 Bibliography 365 14. Speciation 369 14.1. Long-run evolution 370 14.2. Adaptive dynamics 371 14.3. Morph loss in RPS 375 14.4. Emergent boundary layers in cellular automata 380 14.5. Speciation in social and virtual worlds 383 14.6. Discussion 389 Exercises 389
Notes 391 Bibliography 393 Glossary 397 Mathematical Notation 405 Index 407 |
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| spelling | Friedman, Daniel 1947- (DE-588)143873814 aut Evolutionary games in natural, social, and virtual worlds Daniel Friedman and Barry Sinervo Oxford Oxford University Press [2016] © 2016 xv, 417 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Game theory Evolution Spieltheorie (DE-588)4056243-8 gnd rswk-swf Evolution (DE-588)4071050-6 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Evolution (DE-588)4071050-6 s DE-604 Sinervo, Barry (DE-588)1094918105 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029128473&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Friedman, Daniel 1947- Sinervo, Barry Evolutionary games in natural, social, and virtual worlds Game theory Evolution Spieltheorie (DE-588)4056243-8 gnd Evolution (DE-588)4071050-6 gnd |
| subject_GND | (DE-588)4056243-8 (DE-588)4071050-6 |
| title | Evolutionary games in natural, social, and virtual worlds |
| title_auth | Evolutionary games in natural, social, and virtual worlds |
| title_exact_search | Evolutionary games in natural, social, and virtual worlds |
| title_full | Evolutionary games in natural, social, and virtual worlds Daniel Friedman and Barry Sinervo |
| title_fullStr | Evolutionary games in natural, social, and virtual worlds Daniel Friedman and Barry Sinervo |
| title_full_unstemmed | Evolutionary games in natural, social, and virtual worlds Daniel Friedman and Barry Sinervo |
| title_short | Evolutionary games in natural, social, and virtual worlds |
| title_sort | evolutionary games in natural social and virtual worlds |
| topic | Game theory Evolution Spieltheorie (DE-588)4056243-8 gnd Evolution (DE-588)4071050-6 gnd |
| topic_facet | Game theory Evolution Spieltheorie |
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