TY - BOOK AU - Rasmusen, Eric. TI - Games and information: an introduction to game theory SN - 9781405136662 U1 - 519.3 PY - 2007/// CY - Malden PB - Blackwell KW - Game theory N1 - List of Figures x List of Tables xiii List of Games xv Preface xviii Contents and Purpose xviii Changes in the Second Edition, 1994 xviii Changes in the Third Edition, 2001 xix Changes in the Fourth Edition, 2006 xx Using the Book xxii The Level of Mathematics xxii Other Books xxiii Contact Information xxviii Acknowledgements xxviii Introduction 1 History 1 Game Theory¿s Method 2 Exemplifying Theory 2 This Book¿s Style 4 Notes 6 Part 1: Game Theory 9 1 The Rules of the Game 11 1.1 Definitions 11 1.2 Dominated and Dominant Strategies: The Prisoner¿s Dilemma 19 1.3 Iterated Dominance: The Battle of the Bismarck Sea 22 1.4 Nash Equilibrium: Boxed Pigs, the Battle of the Sexes and Ranked Coordination 26 1.5 Focal Points 32 Notes 33 Problems 36 Classroom Game 38 2 Information 40 2.1 The Strategic and Extensive Forms of a Game 40 2.2 Information Sets 45 2.3 Perfect, Certain, Symmetric, and Complete Information 49 2.4 The Harsanyi Transformation and Bayesian Games 52 2.5 An Example: The Png Settlement Game 61 Notes 64 Problems 66 Classroom Game 68 3 Mixed and Continuous Strategies 69 3.1 Mixed Strategies: The Welfare Game 69 3.2 The Payoff-equating Method and Games of Timing 74 *3.3 Mixed Strategies with General Parameters and N Players: The Civic Duty Game 81 *3.4 Randomizing is not Always Mixing: The Auditing Game 85 3.5 Continuous Strategies: The Cournot Game 87 3.6 Continuous Strategies: The Bertrand Game, Strategic Complements, and Strategic Substitutes 90 *3.7 Existence of Equilibrium 95 Notes 98 Problems 103 Classroom Game 107 4 Dynamic Games with Symmetric Information 108 4.1 Subgame Perfectness 108 4.2 An Example of Perfectness: Entry Deterrence I 111 4.3 Credible Threats, Sunks Costs, and the Open-set Problem in the Game of Nuisance Suits 113 4.4 Recoordination to Pareto-dominant Equilibria in Subgames: Pareto Perfection 120 Notes 122 Problems 123 Classroom Game 126 5 Reputation and Repeated Games with Symmetric Information 128 5.1 Finitely Repeated Games and the Chainstore Paradox 128 5.2 Infinitely Repeated Games, Minimax Punishments, and the Folk Theorem 130 5.3 Reputation: The One-sided Prisoner¿s Dilemma 136 5.4 Product Quality in an Infinitely Repeated Game 137 *5.5 Markov Equilibria and Overlapping Generations: Customer Switching Costs 141 *5.6 Evolutionary Equilibrium: The Hawk-Dove Game 143 Notes 147 Problems 151 Classroom Game 155 6 Dynamic Games with Incomplete Information 156 6.1 Perfect Bayesian Equilibrium: Entry Deterrence II and III 156 6.2 Refining Perfect Bayesian Equilibrium in the Entry Deterrence and PhD Admissions Games 160 6.3 The Importance of Common Knowledge: Entry Deterrence IV and V 164 6.4 Incomplete Information in the Repeated Prisoner¿s Dilemma: The Gang of Four Model 166 6.5 The Axelrod Tournament 169 6.6 Credit and the Age of the Firm: The Diamond Model 170 Notes 172 Problems 175 Classroom Game 177 Part 2: Asymmetric Information 179 7 Moral Hazard: Hidden Actions 181 7.1 Categories of Asymmetric Information Models 181 7.2 A Principal-agent Model: The Production Game 184 7.3 The Incentive Compatibility and Participation Constraints 194 7.4 Optimal Contracts: The Broadway Game 195 Notes 201 Problems 204 Classroom Game 209 8 Further Topics in Moral Hazard 211 8.1 Efficiency Wages 211 8.2 Tournaments 214 *8.3 Institutions and Agency Problems 216 *8.4 Renegotiation: The Repossession Game 219 *8.5 State-space Diagrams: Insurance Games I and II 222 *8.6 Joint Production by Many Agents: The Holmstrom Teams Model 227 *8.7 The Multitask Agency Problem 230 Notes 236 Problems 239 Classroom Game 242 9 Adverse Selection 243 9.1 Introduction: Production Game VI 243 9.2 Adverse Selection under Certainty: Lemons I and II 249 9.3 Heterogeneous Tastes: Lemons III and IV 252 9.4 Adverse Selection under Uncertainty: Insurance Game III 255 *9.5 Market Microstructure 259 *9.6 A Variety of Applications 263 9.7 Adverse Selection and Moral Hazard Combined: Production Game VII 266 Notes 269 Problems 272 Classroom Game 274 10 Mechanism Design and Postcontractual Hidden Knowledge 276 10.1 Mechanisms, Unravelling, Cross Checking, and the Revelation Principle 276 10.2 Myerson Mechanism Design 287 10.3 An Example of Postcontractual Hidden Knowledge: The Salesman Game 289 *10.4 The Groves Mechanism 293 10.5 Price Discrimination 296 *10.6 Rate-of-return Regulation and Government Procurement 304 Notes 314 Problems 316 Classroom Game 319 11 Signalling 320 11.1 The Informed Player Moves First: Signalling 320 11.2 Variants on the Signalling Model of Education 324 11.3 General Comments on Signalling in Education 329 11.4 The Informed Player Moves Second: Screening 330 *11.5 Two Signals: The Game of Underpricing New Stock Issues 338 *11.6 Signal Jamming and Limit Pricing 341 *11.7 Countersignalling 345 Notes 348 Problems 349 Classroom Game 352 Part 3: Applications 355 12 Bargaining 357 12.1 The Basic Bargaining Problem: Splitting a Pie 357 12.2 The Nash Bargaining Solution 359 12.3 Alternating Offers over Finite Time 361 12.4 Alternating Offers over Infinite Time 362 12.5 Incomplete Information 365 *12.6 Setting Up a Way to Bargain: The Myerson¿Satterthwaite Model 369 Notes 380 Problems 381 Classroom Game 384 13 Auctions 385 13.1 Values Private and Common, Continuous and Discrete 385 13.2 Optimal Strategies under Different Rules in Private-value Auctions 390 13.3 Revenue Equivalence, Risk Aversion, and Uncertainty 403 13.4 Reserve Prices and the Marginal Revenue Approach 409 13.5 Common-value Auctions and the Winner¿s Curse 414 13.6 Asymmetric Equilibria, Affiliation, and Linkage: The Wallet Game 423 Notes 428 Problems 430 Classroom Game 432 14 Pricing 433 14.1 Quantities as Strategies: Cournot Equilibrium Revisited 433 14.2 Capacity Constraints: The Edgeworth Paradox 436 14.3 Location Models 441 14.4 Comparative Statics and Supermodular Games 449 *14.5 Vertical Differentiation 454 *14.6 Durable Monopoly 461 Notes 467 Problems 469 Classroom Game 471 Mathematical Appendix 473 *A.1 Notation 473 *A.2 The Greek Alphabet 475 *A.3 Glossary 475 *A.4 Formulas and Functions 479 *A.5 Probability Distributions 480 A.6 Supermodularity 482 A.7 Fixed Point Theorems 484 *A.8 Genericity 485 *A.9 Discounting 486 *A.10 Risk 487 References and Name Index 493 Subject Index 521 ER -