Game theory: analysis of conflict
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge, Mass. u.a.
Harvard Univ. Press
1991
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 568 S. graph. Darst. |
| ISBN: | 0674341155 0674341163 |
Staff View
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Record in the Search Index
| _version_ | 1804118747893465088 |
|---|---|
| adam_text | Contents
Preface
XI
1 Decision-Theoretic Foundations
1
1.1 Game Theory, Rationality, and Intelligence l
1.2 Basic Concepts of Decision Theory 5
1.3 Axioms 9
1.4 The Expected-Utility Maximization Theorem 12
1.5 Equivalent Representations 18
1.6 Bayesian Conditional-Probability Systems 21
1.7 Limitations of the Bayesian Model 22
1.8 Domination 26
1.9 Proofs of the Domination Theorems 31
Exercises 33
2.1 Games in Extensive Form 37
2.2 Strategic Form and the Normal Representation 46
2.3 Equivalence of Strategic-Form Games 51
2.4 Reduced Normal Representations 54
2.5 Elimination of Dominated Strategies 57
2.6 Multiagent Representations 61
2.7 Common Knowledge 63
2.8 Bayesian Games 67
2.9 Modeling Games with Incomplete Information 74
Exercises 83
3 Equilibria of Strategic-Form Games 88
3.1 Domination and Rationalizability 88
3.2 Nash Equilibrium 9!
2 Basic Models
37
viii Contents
3.3 Computing Nash Equilibria 99
3.4 Significance of Nash Equilibria 105
3.5 The Focal-Point Effect 108
3.6 The Decision-Analytic Approach to Games 114
3.7 Evolution, Resistance, and Risk Dominance 117
3.8 Two-Person Zero-Sum Games 122
3.9 Bayesian Equilibria 127
3.10 Purification of Randomized Strategies in Equilibria 129
3.11 Auctions 132
3.12 Proof of Existence of Equilibrium 136
3.13 Infinite Strategy Sets 140
Exercises 148
4 Sequential Equilibria of Extensive-Form Games
4.1 Mixed Strategies and Behavioral Strategies 154
4.2 Equilibria in Behavioral Strategies 161
4.3 Sequential Rationality at Information States with Positive
Probability 163
4.4 Consistent Beliefs and Sequential Rationality at All Information
States 168
4.5 Computing Sequential Equilibria 177
4.6 Subgame-Perfect Equilibria 183
4.7 Games with Perfect Information 185
4.8 Adding Chance Events with Small Probability 187
4.9 Forward Induction 190
4.10 Voting and Binary Agendas 196
4.11 Technical Proofs 202
Exercises 208
5 Refinements of Equilibrium in Strategic Form
5.1 Introduction 213
5.2 Perfect Equilibria 216
5.3 Existence of Perfect and Sequential Equilibria 221
5.4 Proper Equilibria 222
5.5 Persistent Equilibria 230
5.6 Stable Sets of Equilibria 232
5.7 Generic Properties 239
5.8 Conclusions 240
Exercises 242
6 Games with Communication
6.1 Contracts and Correlated Strategies 244
6.2 Correlated Equilibria 249
6.3 Bayesian Games with Communication 258
6.4 Bayesian Collective-Choice Problems and Bayesian Bargaining
Problems 263
154
213
244
Contents
IX
6.5 Trading Problems with Linear Utility 271
6.6 General Participation Constraints for Bayesian Games with
Contracts 281
6.7 Sender—Receiver Games 283
6.8 Acceptable and Predominant Correlated Equilibria 288
6.9 Communication in Extensive-Form and Multistage Games 294
Exercises 299
Bibliographic Note 307
7 Repeated Games
7.1 The Repeated Prisoners’ Dilemma 308
7.2 A General Model of Repeated Games 310
7.3 Stationary Equilibria of Repeated Games with Complete State
Information and Discounting 317
7.4 Repeated Games with Standard Information: Examples 323
7.5 General Feasibility Theorems for Standard Repeated Games 331
7.6 Finitely Repeated Games and the Role of Initial Doubt 337
7.7 Imperfect Observability of Moves 342
7.8 Repeated Games in Large Decentralized Groups 349
7.9 Repeated Games with Incomplete Information 352
7.10 Continuous Time 361
7.11 Evolutionary Simulation of Repeated Games 364
Exercises 365
8 Bargaining and Cooperation in Two-Person Games
8.1 Noncooperative Foundations of Cooperative Game Theory 370
8.2 Two-Person Bargaining Problems and the Nash Bargaining
Solution 375
8.3 Interpersonal Comparisons of Weighted Utility 381
8.4 Transferable Utility 384
8.5 Rational Threats 385
8.6 Other Bargaining Solutions 390
8.7 An Alternating-Offer Bargaining Game 394
8.8 An Alternating-Offer Game with Incomplete Information 399
8.9 A Discrete Alternating-Offer Game 403
8.10 Renegotiation 408
Exercises 412
9 Coalitions in Cooperative Games
9.1 Introduction to Coalitional Analysis 417
9.2 Characteristic Functions with Transferable Utility 422
9.3 The Core 427
9.4 The Shapley Value 436
9.5 Values with Cooperation Structures 444
9.6 Other Solution Concepts 452
9.7 Coalitional Games with Nontransferable Utility 456
308
370
417
X
Contents
9.8 Cores without Transferable Utility 462
9.9 Values without Transferable Utility 468
Exercises 478
Bibliographie Note 481
10 Cooperation under Uncertainty
10.1 Introduction 483
10.2 Concepts of Efficiency 485
10.3 An Example 489
10.4 Ex Post Inefficiency and Subsequent Offers 493
10.5 Computing Incentive-Efficient Mechanisms 497
10.6 inscrutability and Durability 502
10.7 Mechanism Selection by an Informed Principal 509
10.8 Neutral Bargaining Solutions 515
10.9 Dynamic Matching Processes with Incomplete Information 526
Exercises 534
483
Bibliography
Index
539
553
|
| any_adam_object | 1 |
| author | Myerson, Roger B. 1951- |
| author_GND | (DE-588)13349165X |
| author_facet | Myerson, Roger B. 1951- |
| author_role | aut |
| author_sort | Myerson, Roger B. 1951- |
| author_variant | r b m rb rbm |
| building | Verbundindex |
| bvnumber | BV004624664 |
| callnumber-first | H - Social Science |
| callnumber-label | H61 |
| callnumber-raw | H61.25.M94 1991 |
| callnumber-search | H61.25.M94 1991 |
| callnumber-sort | H 261.25 M94 41991 |
| callnumber-subject | H - Social Science |
| classification_rvk | CC 3200 QH 430 SK 860 |
| classification_tum | MAT 920f |
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| dewey-full | 519.320 519.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.3 20 519.3 |
| dewey-search | 519.3 20 519.3 |
| dewey-sort | 3519.3 220 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie Wirtschaftswissenschaften |
| format | Book |
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| spelling | Myerson, Roger B. 1951- Verfasser (DE-588)13349165X aut Game theory analysis of conflict Roger B. Myerson Cambridge, Mass. u.a. Harvard Univ. Press 1991 XIII, 568 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Jeux, Théorie des Speltheorie gtt Game theory Kooperatives Spiel (DE-588)4120603-4 gnd rswk-swf Entscheidungstheorie (DE-588)4138606-1 gnd rswk-swf Nichtkooperatives Spiel (DE-588)4042085-1 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s DE-604 Entscheidungstheorie (DE-588)4138606-1 s 1\p DE-604 Nichtkooperatives Spiel (DE-588)4042085-1 s 2\p DE-604 Kooperatives Spiel (DE-588)4120603-4 s 3\p DE-604 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002840976&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Myerson, Roger B. 1951- Game theory analysis of conflict Jeux, Théorie des Speltheorie gtt Game theory Kooperatives Spiel (DE-588)4120603-4 gnd Entscheidungstheorie (DE-588)4138606-1 gnd Nichtkooperatives Spiel (DE-588)4042085-1 gnd Spieltheorie (DE-588)4056243-8 gnd |
| subject_GND | (DE-588)4120603-4 (DE-588)4138606-1 (DE-588)4042085-1 (DE-588)4056243-8 |
| title | Game theory analysis of conflict |
| title_auth | Game theory analysis of conflict |
| title_exact_search | Game theory analysis of conflict |
| title_full | Game theory analysis of conflict Roger B. Myerson |
| title_fullStr | Game theory analysis of conflict Roger B. Myerson |
| title_full_unstemmed | Game theory analysis of conflict Roger B. Myerson |
| title_short | Game theory |
| title_sort | game theory analysis of conflict |
| title_sub | analysis of conflict |
| topic | Jeux, Théorie des Speltheorie gtt Game theory Kooperatives Spiel (DE-588)4120603-4 gnd Entscheidungstheorie (DE-588)4138606-1 gnd Nichtkooperatives Spiel (DE-588)4042085-1 gnd Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Jeux, Théorie des Speltheorie Game theory Kooperatives Spiel Entscheidungstheorie Nichtkooperatives Spiel Spieltheorie |
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