Game theory: analysis of conflict
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge, Mass. [u.a.]
Harvard Univ. Press
1997
|
| Ausgabe: | 1. paperback ed. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009862460&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009862460&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. [539] - 551 |
| Umfang: | XIII, 568 S. graph. Darst. |
| ISBN: | 0674341163 0674341155 |
Internformat
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| 245 | 1 | 0 | |a Game theory |b analysis of conflict |c Roger B. Myerson |
| 250 | |a 1. paperback ed. | ||
| 264 | 1 | |a Cambridge, Mass. [u.a.] |b Harvard Univ. Press |c 1997 | |
| 300 | |a XIII, 568 S. |b graph. Darst. | ||
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| _version_ | 1821932059715698688 |
| adam_text | Contents
Preface
Decision-Theoretic
Foundations
1.1 Game Theory, Rationality, and Intelligence I
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
Basic Models
37
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
91
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
Π7
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
Sequential Equilibria of Extensive-Form Games
154
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
Refinements of Equilibrium in Strategic Form
213
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
Games with Communication
244
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
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
Repeated Games
308
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
Bargaining and Cooperation in Two-Person Games
370
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
Coalitions in Cooperative Games
417
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
9.8
Cores
without Transferable Utility
462 ,,
9.9
Values without Transferable Utility
468 *
Exercises
478
Bibliographic Note
48]
10
Cooperation under Uncertainty
483
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
Bibliography
539
Index
553
Eminently suited to classroom use as well as individual study,
Roger Myerson s text provides a ciear and thorough examination
of the models, solution concepts, results, and methodological
principles of both
noncooperative
and cooperative game
theory. Myerson introduces, clarifies, and synthesizes the
extraordinary advances made in the subject over the past
fifteen years, presents an overview of decision theory, and
comprehensively reviews the development of the fundamental
models: games in extensive form and strategic form, and
Bayesian games with incomplete information.
Game Theory will be useful for students at the graduate level in
economics, political science, operations research, and applied
mathematics. Everyone who uses game theory in research will
find this book helpful.
|
| any_adam_object | 1 |
| author | Myerson, Roger B. 1951- |
| author_GND | (DE-588)13349165X |
| author_facet | Myerson, Roger B. 1951- |
| author_role | aut |
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| ctrlnum | (OCoLC)489715282 (DE-599)BVBBV014425346 |
| dewey-full | 330.015 658.4 519.3 |
| dewey-hundreds | 300 - Social sciences 600 - Technology (Applied sciences) 500 - Natural sciences and mathematics |
| dewey-ones | 330 - Economics 658 - General management 519 - Probabilities and applied mathematics |
| dewey-raw | 330.015 658.4 519.3 |
| dewey-search | 330.015 658.4 519.3 |
| dewey-sort | 3330.015 |
| dewey-tens | 330 - Economics 650 - Management and auxiliary services 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 1. paperback ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-12-20T11:04:06Z |
| institution | BVB |
| isbn | 0674341163 0674341155 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009862460 |
| oclc_num | 489715282 |
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| physical | XIII, 568 S. graph. Darst. |
| publishDate | 1997 |
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| spellingShingle | Myerson, Roger B. 1951- Game theory analysis of conflict Jeux, Théorie des ram Nichtkooperatives Spiel (DE-588)4042085-1 gnd Spieltheorie (DE-588)4056243-8 gnd Kooperatives Spiel (DE-588)4120603-4 gnd Entscheidungstheorie (DE-588)4138606-1 gnd |
| subject_GND | (DE-588)4042085-1 (DE-588)4056243-8 (DE-588)4120603-4 (DE-588)4138606-1 |
| 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 ram Nichtkooperatives Spiel (DE-588)4042085-1 gnd Spieltheorie (DE-588)4056243-8 gnd Kooperatives Spiel (DE-588)4120603-4 gnd Entscheidungstheorie (DE-588)4138606-1 gnd |
| topic_facet | Jeux, Théorie des Nichtkooperatives Spiel Spieltheorie Kooperatives Spiel Entscheidungstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009862460&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009862460&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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