Games of strategy:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Norton
2004
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXII, 665 S. graph. Darst. |
| ISBN: | 0393924998 |
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| adam_text | Titel: Games of strategy
Autor: Dixit, Avinash K.
Jahr: 2004
Contents
é
Preface to the Second Edition xix
PART ONE
Introduction and General Principles
Basic Ideas and Examples 3
1 WHAT IS A GAME OF STRATEGY? 4
2 SOME EXAMPLES AND STORIES OF STRATEGIC GAMES 6
A. Which Passing Shot? 6
B. The GPA Rat Race 7
C. We Can t Take the Exam, Because We Had a Flat Tire 9
D. Why Are Professors So Mean? 10
E. Roommates and Families on the Brink 11
F. The Dating Game 13
3 OUR STRATEGY FOR STUDYING GAMES OF STRATEGY 14
vii
viii CONTENTS
How to Think About Strategic Games 17
1 DECISIONS VERSUS GAMES 18
2 CLASSIFYING GAMES 20
A. Are the Moves in the Game Sequential or Simultaneous? 20
B. Are the Players Interests in Total Conflict or Is There Some Commonality? 21
C. Is the Game Played Once or Repeatedly, and with the Same or Changing
Opponents? 22
D. Do the Players Have Full or Equal Information? 23
E. Are the Rules of the Game Fixed or Manipulable? 24
F. Are Agreements to Cooperate Enforceable? 25
3 SOME TERMINOLOGY AND BACKGROUND ASSUMPTIONS 27
A. Strategies 27
B. Payoffs 28
C. Rationality 29
D. Common Knowledge of Rules 31
E. Equilibrium 33
F. Dynamics and Evolutionary Games 34
G. Observation and Experiment 35
4 THE USES OF GAME THEORY 36
5 THE STRUCTURE OF THE CHAPTERS TO FOLLOW 38
SUMMARY 41
KEY TERMS 41
EXERCISES 42
PART TWO
Concepts and Techniques
Games with Sequential Moves 45
1 GAME TREES 46
A. Nodes, Branches, and Paths of Play 46
B. Uncertainty and Nature s Moves 46
C. Outcomes and Payoffs 48
D. Strategies 48
E. Tree Construction 49
CONTENTS ¡x
2 SOLVING GAMES BY USING TREES 50
3 ADDING MORE PLAYERS 55
4 ORDER ADVANTAGES 60
5 ADDING MORE MOVES 61
A. Tic-Tac-Toe 61
B. Chess 63
6 EVIDENCE CONCERNING ROLLBACK 69
7 STRATEGIES IN THE SURVIVOR® GAME 72
SUMMARY 77
KEY TERMS 78
EXERCISES 78
Simultaneous-Move Games with Pure Strategies I:
Discrete Strategies 83
1 DEPICTING SIMULTANEOUS-MOVE GAMES WITH DISCRETE
STRATEGIES 84
2 NASH EQUILIBRIUM 86
A. Some Further Explanation of the Concept of Nash Equilibrium 87
B. Nash Equilibrium As a System of Beliefs and Choices 89
3 DOMINANCE 90
A. Both Players Have Dominant Strategies 92
B. One Player Has a Dominant Strategy 93
C. Successive Elimination of Dominated Strategies 95
4 BEST-RESPONSE ANALYSIS 98
5 THE MINIMAX METHOD FOR ZERO-SUM GAMES 99
6 THREE PLAYERS 101
7 MULTIPLE EQUILIBRIA IN PURE STRATEGIES 105
8 NO EQUILIBRIUM IN PURE STRATEGIES 111
SUMMARY 113
KEY TERMS 114
EXERCISES 114
appendix: Some General Definitions 120
x CONTENTS
Simultaneous-Move Games with Pure Strategies II:
Continuous Strategies and III: Discussion and
Evidence 123
1 PURE STRATEGIES THAT ARE CONTINUOUS VARIABLES 124
A. Price Competition 124
B. Political Campaign Advertising 129
2 EMPIRICAL EVIDENCE CONCERNING NASH EQUILIBRIUM 131
A. Laboratory and Classroom Experiments 132
B. Real-World Evidence 135
3 CRITICAL DISCUSSION OF THE NASH EQUILIBRIUM
CONCEPT 139
A. The Treatment of Risk in Nash Equilibrium 140
B. Multiplicity of Nash Equilibria 142
C. Requirements of Rationality for Nash Equilibrium 144
4 RATIONALIZABILITY 145
A. Applying the Concept of Rationalizability 146
B. Rationalizability Leading to Nash Equilibrium 147
SUMMARY 151
KEY TERMS 151
EXERCISES 151
Combining Sequential and Simultaneous Moves 155
1 GAMES WITH BOTH SIMULTANEOUS AND SEQUENTIAL
MOVES 156
A. Two-Stage Games and Subgames 156
B. Configurations of Multistage Games 160
2 CHANGING THE ORDER OF MOVES IN A GAME 162
A. Changing Simultaneous-Move Games into Sequential-Move Games 163
B. Other Changes in the Order of Moves 170
3 CHANGE IN THE METHOD OF ANALYSIS 171
A. Illustrating Simultaneous-Move Games by Using Trees 171
B. Showing and Analyzing Simultaneous-Move Games in Strategic Form 172
4 THREE-PLAYER GAMES 176
SUMMARY 179
CONTENTS xi
KEY TERMS 180
EXERCISES 180
Simultaneous-Move Games with Mixed Strategies I:
Zero-Sum Games 185
1 WHAT IS A MIXED STRATEGY? 186
2 UNCERTAIN ACTIONS: MIXING MOVES TO KEEP THE OPPONENT
GUESSING 187
A. Best-Response Analysis 188
B. The Minimax Method 194
3 NASH EQUILIBRIUM AS A SYSTEM OF BELIEFS AND RESPONSES 198
4 MIXING WHEN ONE PLAYER HAS THREE OR MORE PURE
STRATEGIES 199
A. A General Case 200
B. Exceptional Cases 203
C. Case of Domination by a Mixed Strategy 204
5 MIXING WHEN BOTH PLAYERS HAVE THREE STRATEGIES 207
A. Full Mixture of All Strategies 208
B. Equilibrium Mixtures with Some Strategies Unused 210
6 EVIDENCE ON MIXING IN ZERO-SUM GAMES 212
7 HOW TO USE MIXED STRATEGIES IN PRACTICE 214
SUMMARY 216
KEY TERMS 217
EXERCISES 217
appendix: Probability and Expected Utility 221
1 THE BASIC ALGEBRA OF PROBABILITIES 222
A. The Addition Rule 224
B. The Modified Addition Rule 225
C. The Multiplication Rule 225
D. The Modified Multiplication Rule 226
E. The Combination Rule 227
F. Expected Values 228
2 ATTITUDES TOWARD RISK AND EXPECTED UTILITY 228
SUMMARY 231
KEY TERMS 232
x¡¡ CONTENTS
8
Simultaneous-Move Games with Mixed Strategies II:
Non-Zero-Sum Games and III: General Discussion 233
1 MIXING SUSTAINED BY UNCERTAIN BELIEFS 234
A. Will Harry Meet Sally? 234
B. Diced Chicken? 239
2 NON-ZERO-SUM MIXING WITH THREE STRATEGIES 241
3 GENERAL DISCUSSION OF MIXED-STRATEGY EQUILIBRIA 243
A. Weak Sense of Equilibrium 244
B. Opponent s Indifference and Guarding Against Exploitation 244
C. Counterintuitive Outcomes with Mixed Strategies in Zero-Sum Games 245
D. Another Counterintuitive Result for Non-Zero-Sum Games 249
4 EVIDENCE ON MIXING IN NON-ZERO-SUM GAMES 250
5 MIXING AMONG THREE OR MORE STRATEGIES: GENERAL
THEORY 250
SUMMARY 257
KEY TERMS 258
EXERCISES 258
PART THREE
Some Broad Classes of Games and Strategies
Uncertainty and Information 263
1 ASYMMETRIC INFORMATION: BASIC IDEAS 264
2 DIRECT COMMUNICATION, OR CHEAP TALK 266
3 SIGNALING AND SCREENING 272
4 INCENTIVE PAYMENTS 277
5 EQUILIBRIA IN SIGNALING GAMES 280
A. Separating Equilibrium 284
B. Pooling Equilibrium 285
C. Semiseparating Equilibrium 287
D. General Theory 289
10
CONTENTS xNi
6 EVIDENCE ABOUT SIGNALING AND SCREENING 292
SUMMARY 294
KEY TERMS 295
EXERCISES 295
appendix: Information and Risk 300
1 INFERRING PROBABILITIES FROM OBSERVING CONSEQUENCES 301
2 CONTROLLING AND MANIPULATING RISK 304
A. Strategies to Reduce Risk 304
B. Using Risk 307
C. Manipulating Risk in Contests 307
SUMMARY 309
KEY TERMS 310
Strategic Moves 311
1 A CLASSIFICATION OF STRATEGIC MOVES 312
A. Unconditional Strategic Moves 313
B. Conditional Strategic Moves 314
2 CREDIBILITY OF STRATEGIC MOVES 315
3 COMMITMENTS 317
4 THREATS AND PROMISES 321
A. Example of a Threat: U.S.-Japan Trade Relations 322
B. Example of a Promise: The Restaurant Pricing Game 326
C. Example Combining Threat and Promise: Joint U.S.-China Political
Action 328
5 SOME ADDITIONAL TOPICS 329
A. When Do Strategic Moves Help? 329
B. Deterrence Versus Compellence 330
6 ACQUIRING CREDIBILITY 331
A. Reducing Your Freedom of Action 331
B. Changing Your Payoffs 333
7 COUNTERING YOUR OPPONENT S STRATEGIC MOVES 337
A. Irrationality 337
B. Cutting Off Communication 337
C. Leaving Escape Routes Open 338
xiv CONTENTS
11
12
D. Undermining Your Opponent s Motive to Uphold His Reputation 338
E. Salami Tactics 338
SUMMARY 339
KEY TERMS 340
EXERCISES 340
The Prisoners Dilemma and Repeated Games 345
1 THE BASIC GAME (REVIEW) 346
2 SOLUTIONS i: REPETITION 347
A. Finite Repetition 348
B. Infinite Repetition 349
C. Games of Unknown Length 353
D. General Theory 354
3 solutions ð: penalties and rewards 356
4 SOLUTIONS III: LEADERSHIP 359
5 EXPERIMENTAL EVIDENCE 362
6 REAL-WORLD DILEMMAS 365
A. Governments Competing to Attract Business 365
B. LaborArbitration 367
C. Evolutionary Biology 368
D. Price Matching 369
SUMMARY 372
KEY TERMS 372
EXERCISES 373
appendix: Infinite Sums 378
Collective-Action Games 382
1 COLLECTIVE-ACTION GAMES WITH TWO PLAYERS 383
2 COLLECTIVE-ACTION PROBLEMS IN LARGE GROUPS 387
3 A BRIEF HISTORY OF IDEAS 393
4 SOLVING COLLECTIVE-ACTION PROBLEMS 394
A. Analysis 395
B. Applications 400
CONTENTS xv
13
5 SPILLOVERS, OR EXTERNALITIES 403
A. The Calculus of the General Case 406
B. Negative Spillovers 406
C. Positive Spillovers 411
6 help! : a game of chicken with mixed strategies 414
SUMMARY 418
KEY TERMS 419
EXERCISES 420
Evolutionary Games 425
1 THE FRAMEWORK 426
2 PRISONERS DILEMMA 430
A. The Repeated Prisoners Dilemma 432
B. Multiple Repetitions 436
C. Comparing the Evolutionary and Rational-Player Models 437
3 CHICKEN 439
4 THE ASSURANCE GAME 441
5 INTERACTIONS ACROSS SPECIES 444
6 THE HAWK-DOVE GAME 447
A. Rational Strategic Choice and Equilibrium 448
B. Evolutionary Stability for V C 448
C. EvolutionaryStabilityforV^C 449
D. V C: Stable Polymorphic Population 450
E. V C: Each Player Mixes Strategies 450
7 THREE PHENOTYPES IN THE POPULATION 452
A. Testing for ESS 452
B. Dynamics 453
8 SOME GENERAL THEORY 456
9 PLAYING THE FIELD 458
10 EVOLUTION OF COOPERATION AND ALTRUISM 459
SUMMARY 462
KEY TERMS 463
EXERCISES 463
xvi CONTENTS
PART FOUR
Applications to Specific Strategic Situations
14
15
Brinkmanship: The Cuban Missile Crisis 471
1 A BRIEF NARRATION OF EVENTS 472
2 A SIMPLE GAME-THEORETIC EXPLANATION 479
3 ACCOUNTING FOR ADDITIONAL COMPLEXITIES 481
4 A PROBABILISTIC THREAT 487
5 PRACTICING BRINKMANSHIP 491
SUMMARY 495
KEY TERMS 496
EXERCISES 496
Strategy and Voting 500
1 VOTING RULES AND PROCEDURES 501
A. Binary Methods 501
B. Plurative Methods 502
C. Mixed Methods 503
2 VOTING PARADOXES 505
A. The Condorcet Paradox 505
B. The Agenda Paradox 507
C. The Reversal Paradox 508
D. Change the Voting Method, Change the Outcome 509
3 GENERAL IDEAS PERTAINING TO PARADOXES 510
A. Black s Condition 512
B. Robustness 513
C. Intensity Ranking 513
4 STRATEGIC MANIPULATION OF VOTES 514
A. Plurality Rule 515
B. Pairwise Voting 517
C. Strategic Voting with Incomplete Information 520
5 GENERAL IDEAS PERTAINING TO MANIPULATION 523
16
17
CONTENTS xvii
6 THE MEDIAN VOTER THEOREM 524
A. Discrete Political Spectrum 525
B. Continuous Political Spectrum 528
SUMMARY 531
KEY TERMS 531
EXERCISES 532
Bidding Strategy and Auction Design 538
1 types of auctions 539
2 the winner s curse 541
3 bidding strategies 544
4 vickrey s truth serum 545
5 all-pay auctions 547
6 how to sell at auction 550
A. Risk-Neutral Bidders and Independent Estimates 550
B. Risk-Averse Bidders 551
C. Correlated Estimates 552
7 SOME ADDED TWISTS TO CONSIDER 554
A. Multiple Objects 554
B. Defeating the System 555
C. Information Disclosure 557
8 AUCTIONS ON THE INTERNET 557
9 ADDITIONAL READING ON THE THEORY AND PRACTICE
OF AUCTIONS 560
SUMMARY 561
KEY TERMS 562
EXERCISES 562
Bargaining 566
1 nash s cooperative solution 568
A. Numerical Example 568
B. General Theory 569
2 VARIABLE-THREAT BARGAINING 575
xvüi CONTENTS
18
3 ALTERNATING-OFFERS MODEL I: TOTAL VALUE DECAYS 577
4 EXPERIMENTAL EVIDENCE 579
5 ALTERNATING-OFFERS MODEL II: IMPATIENCE 582
6 MANIPULATING INFORMATION IN BARGAINING 587
7 BARGAINING WITH MANY PARTIES AND ISSUES 590
A. Multi-Issue Bargaining 590
B. Multiparty Bargaining 592
SUMMARY 592
KEY TERMS 593
EXERCISES 593
Markets and Competition 596
1 A SIMPLE TRADING GAME 598
2 THE CORE 606
A. Numerical Example 608
B. Some Properties of the Core 609
C. Discussion 611
3 THE MARKET MECHANISM 613
A. Properties of the Market Mechanism 615
B. Experimental Evidence 617
4 THE SHAPLEY VALUE 618
A. Power in Legislatures and Committees 620
B. Allocation of Joint Costs 622
5 FAIR DIVISION MECHANISMS 624
SUMMARY 625
KEY TERMS 626
EXERCISES 626
Glossary 629
Index 647
|
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| ctrlnum | (OCoLC)265914990 (DE-599)BVBBV019850166 |
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| indexdate | 2024-07-09T20:07:33Z |
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| language | English |
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| publisher | Norton |
| record_format | marc |
| spelling | Dixit, Avinash K. 1944- Verfasser (DE-588)115439617 aut Games of strategy Avinash Dixit ; Susan Skeath 2. ed. New York [u.a.] Norton 2004 XXII, 665 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Incl. bibliogr. references and index Besliskunde gtt Jeux, Théorie des Prise de décision Sciences de la politique Speltheorie gtt Teoria dos jogos larpcal Decision making Game theory Policy sciences Entscheidungsfindung (DE-588)4113446-1 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Spieltheorie (DE-588)4056243-8 s Entscheidungsfindung (DE-588)4113446-1 s DE-604 Skeath van Mulbregt, Susan Emily Verfasser (DE-588)142428132 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013174882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dixit, Avinash K. 1944- Skeath van Mulbregt, Susan Emily Games of strategy Incl. bibliogr. references and index Besliskunde gtt Jeux, Théorie des Prise de décision Sciences de la politique Speltheorie gtt Teoria dos jogos larpcal Decision making Game theory Policy sciences Entscheidungsfindung (DE-588)4113446-1 gnd Spieltheorie (DE-588)4056243-8 gnd |
| subject_GND | (DE-588)4113446-1 (DE-588)4056243-8 |
| title | Games of strategy |
| title_auth | Games of strategy |
| title_exact_search | Games of strategy |
| title_full | Games of strategy Avinash Dixit ; Susan Skeath |
| title_fullStr | Games of strategy Avinash Dixit ; Susan Skeath |
| title_full_unstemmed | Games of strategy Avinash Dixit ; Susan Skeath |
| title_short | Games of strategy |
| title_sort | games of strategy |
| topic | Besliskunde gtt Jeux, Théorie des Prise de décision Sciences de la politique Speltheorie gtt Teoria dos jogos larpcal Decision making Game theory Policy sciences Entscheidungsfindung (DE-588)4113446-1 gnd Spieltheorie (DE-588)4056243-8 gnd |
| topic_facet | Besliskunde Jeux, Théorie des Prise de décision Sciences de la politique Speltheorie Teoria dos jogos Decision making Game theory Policy sciences Entscheidungsfindung Spieltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013174882&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dixitavinashk gamesofstrategy AT skeathvanmulbregtsusanemily gamesofstrategy |