Introduction to Game Theoretic Modelling / Edition 1

Introduction to Game Theoretic Modelling / Edition 1

by Michael Mesterton-Gibbons
     
 

This is an introduction to game theory and applications with an emphasis on self-discovery from the perspective of a mathematical modeller. The book deals in a unified manner with the central concepts of both classical and evolutionary game theory. The key ideas are illustrated throughout by a wide variety of well-chosen examples of both human and non-human behavior,… See more details below

Overview

This is an introduction to game theory and applications with an emphasis on self-discovery from the perspective of a mathematical modeller. The book deals in a unified manner with the central concepts of both classical and evolutionary game theory. The key ideas are illustrated throughout by a wide variety of well-chosen examples of both human and non-human behavior, including car pooling, price fixing, food sharing, sex allocation and competition for territories or oviposition sites. There are numerous exercises with solutions.

Product Details

ISBN-13:
9780201554489
Publisher:
Addison-Wesley
Publication date:
02/28/1992
Pages:
237

Table of Contents

Preface
Acknowledgements
Agenda
Ch. 1Noncooperative Games1
1.1Crossroads: a motorist's dilemma1
1.2The Hawk-Dove game6
1.3Rational reaction sets and Nash equilibria8
1.4Four Ways: a motorist's trilemma18
1.5Store Wars: a continuous game of prices24
1.6Store Wars II: a three-player game34
1.7Max-min strategies43
Ch. 2Evolutionary Stability and Other Selection Criteria51
2.1Harsanyi and Selten's criterion51
2.2Kalai and Samet's criterion55
2.3Maynard Smith's criterion57
2.4Crossroads as a continuous population game66
2.5An example of population dynamics72
2.6Discrete population games. Multiple ESSes74
2.7Asymmetry of role: Owners and Intruders80
2.8Spiders in a spin - a case of anti-Bourgeois?92
Ch. 3Cooperative Games in Strategic Form101
3.1Unimprovability: group rationality102
3.2Necessary conditions for unimprovability109
3.3The Nash bargaining solution115
3.4Independent versus correlated strategies120
Ch. 4Characteristic Function Games127
4.1Characteristic functions and reasonable sets128
4.2Core-related concepts135
4.3A four-person car pool140
4.4Log hauling: a coreless game144
4.5Antique dealing. The nucleolus147
4.6Team long-jumping. An improper game157
4.7The Shapley value160
4.8Simple games. The Shapley-Shubik index165
Ch. 5Cooperation and the Prisoner's Dilemma173
5.1A laboratory prisoner's dilemma175
5.2A game of foraging among oviposition sites178
5.3Tit for tat: champion reciprocative strategy182
5.4Other reciprocative strategies186
5.5Dynamic versus static interaction200
5.6Stability of a nice population: static case205
5.7Stability of a nice population: dynamic case207
5.8Mutualism: common ends or enemies211
5.9Much ado about scorekeeping216
5.10The comedy of errors218
Ch. 6More Population Games229
6.1Sex allocation: a game with a weak ESS230
6.2Damselfly duels: a war of attrition231
6.3Games among kin versus games between kin240
6.4Information and strategy: a mating game245
6.5Roving ravens: a recruitment game251
6.6Cooperative wildlife management261
6.7Winner and loser effects271
6.8Stomatopod strife: a threat game286
Ch. 7Appraisal307
App. AThe Tracing Procedure315
App. BSolutions to Selected Exercises319
Bibliography347
Index363

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