Game theory and its applications in the social and biological sciences:
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| Previous Title: | Colman, Andrew M. Game theory and experimental games |
|---|---|
| Main Author: | |
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Butterworth-Heinemann
1995
|
| Edition: | 2. ed. |
| Series: | International series in social psychology
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | 1. Aufl. u.d.T.: Game theory and experimental games |
| Physical Description: | XIII, 375 S. graph. Darst. |
| ISBN: | 0750623691 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804125724604366848 |
|---|---|
| adam_text | Contents
Preface to the First Edition ix
Preface to the Second Edition xi
Part I Background
1 Introduction 3
1.1 Intuitive background 3
1.1.1 Head On 4
1.1.2 Price War 5
1.1.3 Angelo and Isabella 5
1.2 Abstract models: basic terminology 6
1.3 Skill, chance, and strategy 10
1.4 Historical background 12
1.5 Summary 14
2 One person games 15
2.1 Games against Nature 15
2.2 Certainty 15
2.3 Risk 17
2.4 Expected utility theory 19
2.5 Uncertainty 23
2.5.1 Insufficient reason 25
2.5.2 Maximax 26
2.5.3 Maximin 26
2.5.4 Minimax regret 28
2.6 Summary 32
3 Coordination games and the minimal social situation 33
3.1 Strategic collaboration 33
3.2 Coordination games 33
3.3 The minimal social situation 40
3.4 The multi person minimal social situation 48
3.5 Summary 50
v
vi Contents
Part II Theory and empirical evidence
4 Two person zero sum games
4.1 Strictly competitive games 53
4.2 Extensive and normal forms
4.3 Games with saddle points: Nash equilibria 5?
4.4 Games without saddle points * 2
4.5 Dominance and admissibility 69
4.6 Methods for finding solutions *¦
4.7 Ordinal payoffs and incomplete information 78
4.8 Summary 83
5 Experiments with strictly competitive games 85
5.1 Ideas behind experimental games 85
5.2 Empirical research on non saddle point games 87
5.3 Empirical research on saddle point games 91
5.4 Framing effects 94
5.5 Critique of experimental gaming 97
5.6 Summary 99
6 Two person mixed motive games: informal game theory 100
6.1 Mixed motive games 100
6.2 Subgame perfect and trembling hand equilibria 101
6.3 Classification of 2 X 2 mixed motive games 107
6.4 Leader 108
6.5 Battle of the Sexes HO
6.6 Chicken HI
6.7 Prisoner s Dilemma 115
6.8 Comparison of archetypal 2X2 games 118
6.9 Theory of metagames 121
6.10 Two person cooperative games: bargaining solutions 126
6.10.1 Maximin bargaining solution 129
6.10.2 Nash bargaining solution 130
6.10.3 Raiffa Kalai Smorodinsky bargaining solution 131
6.11 Summary 132
7 Experiments with Prisoner s Dilemma and related games 134
7.1 The experimental gaming literature 134
7.2 Strategic structure 135
7.3 Payoffs and incentives 139
7.4 Communication effects 141
7.5 Programmed strategies 142
7.6 Axelrod s computer tournaments 144
7.7 Sex differences and cross cultural studies 149
Contents vii
7.8 Attribution effects 152
7.9 Framing effects 154
7.10 Summary 160
8 Multi person cooperative games: coalition formation 161
8.1 N person cooperative games 161
8.2 Characteristic function and imputation 163
8.3 Core and stable set 167
8.4 Harold Pinter s The Caretaker 169
8.5 Shapley value 172
8.6 Kernel, nucleolus, and least core 174
8.7 Coalition predicting theories 177
8.7.1 Equal excess theory 177
8.7.2 Caplow s theory 179
8.7.3 Minimal winning coalition theory 179
8.7.4 Minimum resource theory 180
8.8 Experiments on coalition formation 180
8.9 Summary 185
9 Multi person non cooperative games and social dilemmas 186
9.1 N person non cooperative games: Nash equilibria 186
9.2 The Chain store paradox and backward induction 187
9.3 Auction games and psychological traps 191
9.4 Social dilemmas: intuitive background 201
9.4.1 The invisible hand and voluntary wage restraint 202
9.4.2 Conservation of natural resources 203
9.4.3 The tragedy of the commons 204
9.5 Formalization of social dilemmas 205
9.6 Theory of compound games 209
9.7 Empirical research on social dilemmas 212
9.7.1 Group size effects 215
9.7.2 Communication effects 218
9.7.3 Individual differences and attribution effects 221
9.7.4 Payoff and incentive effects 223
9.7.5 Framing effects 224
9.8 Summary 226
Part III Applications
10 Social choice and strategic voting 229
10.1 Background 229
10.2 Alternatives, voters, preferences 230
10.3 Voting procedures 233
viii Contents
10.4 Voting paradoxes 237
10.5 Arrow s impossibility theorem 244
10.6 Proportional representation: single transferable vote 246
10.7 Strategic (tactical) voting 250
10.8 Sophisticated voting 258
10.9 Empirical evidence of strategic voting 267
10.10 Summary 270
11 Theory of evolution: strategic aspects 272
11.1 Historical background 272
11.2 Strategic evolution and behavioural ecology 272
11.3 Animal conflicts and evolutionarily stable strategies 276
11.4 An improved multi person game model 281
11.5 Empirical evidence 288
11.6 Summary 293
12 Game theory and philosophy 294
12.1 Relevance of game theory to practical problems 294
12.2 Rationality in games 297
12.2.1 Coordination games 297
12.2.2 Prisoner s Dilemma games 300
12.3 Newcomb s problem 304
12.4 Kant s categorical imperative 308
12.5 Plato, Hobbes, Rousseau: social contract theories 310
12.6 Evolution and stability of moral principles 314
12.7 Summary 316
Appendix A simple proof of the minimax theorem 317
A.I Introductory remarks 317
A.2 Preliminary formalization 317
A.3 The minimax theorem 318
A.4 Proof 319
A.5 Remark 324
References 325
Index 363
|
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| dewey-full | 519.3 |
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| discipline | Psychologie Mathematik |
| edition | 2. ed. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:06:07Z |
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| isbn | 0750623691 |
| language | English |
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| physical | XIII, 375 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Butterworth-Heinemann |
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| series2 | International series in social psychology |
| spelling | Colman, Andrew M. Verfasser aut Game theory and its applications in the social and biological sciences Andrew M. Colman 2. ed. Oxford [u.a.] Butterworth-Heinemann 1995 XIII, 375 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier International series in social psychology 1. Aufl. u.d.T.: Game theory and experimental games Game theory Entscheidungsverhalten (DE-588)4113448-5 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Entscheidungsverhalten (DE-588)4113448-5 s 1\p DE-604 1. Aufl. u.d.T. Colman, Andrew M. Game theory and experimental games HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007531946&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Colman, Andrew M. Game theory and its applications in the social and biological sciences Game theory Entscheidungsverhalten (DE-588)4113448-5 gnd Spieltheorie (DE-588)4056243-8 gnd |
| subject_GND | (DE-588)4113448-5 (DE-588)4056243-8 |
| title | Game theory and its applications in the social and biological sciences |
| title_auth | Game theory and its applications in the social and biological sciences |
| title_exact_search | Game theory and its applications in the social and biological sciences |
| title_full | Game theory and its applications in the social and biological sciences Andrew M. Colman |
| title_fullStr | Game theory and its applications in the social and biological sciences Andrew M. Colman |
| title_full_unstemmed | Game theory and its applications in the social and biological sciences Andrew M. Colman |
| title_old | Colman, Andrew M. Game theory and experimental games |
| title_short | Game theory and its applications in the social and biological sciences |
| title_sort | game theory and its applications in the social and biological sciences |
| topic | Game theory Entscheidungsverhalten (DE-588)4113448-5 gnd Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Game theory Entscheidungsverhalten Spieltheorie |
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