Acknowledgments | p. xiii |
Introduction | p. 1 |
Organization of the Book | p. 3 |
The Theory of Choice | p. 6 |
Finite Sets of Actions and Outcomes | p. 7 |
Continuous Choice Spaces | p. 11 |
Utility Theory | p. 18 |
Utility Representations on Continuous Choice Spaces | p. 20 |
Spatial Preferences | p. 21 |
Exercises | p. 25 |
Choice Under Uncertainty | p. 27 |
The Finite Case | p. 27 |
Risk Preferences | p. 38 |
Learning | p. 46 |
Critiques of Expected Utility Theory | p. 51 |
Time Preferences | p. 57 |
Exercises | p. 62 |
Social Choice Theory | p. 66 |
The Open Search | p. 66 |
Preference Aggregation Rules | p. 6 |
Collective Choice | p. 76 |
Manipulation of Choice Functions | p. 82 |
Exercises | p. 85 |
Games in the Normal Form | p. 87 |
The Normal Form | p. 89 |
Solutions to Normal Form Games | p. 93 |
Application: The Hotelling Model of Political Competition | p. 101 |
Existence of Nash Equilibria | p. 107 |
Dominance and Mixed Strategies | p. 113 |
Calculating Nash Equilibria | p. 115 |
Application: Interest Group Contributions | p. 117 |
Application: International Externalities | p. 119 |
Computing Equilibria with Constrained Optimization | p. 121 |
Proving the Existence of Nash Equilibria | p. 123 |
Comparative Statics | p. 126 |
Refining Nash Equilibria | p. 138 |
Application: Private Provision of Public Goods | p. 140 |
Exercises | p. 145 |
Bayesian Games in the Normal Form | p. 150 |
Formal Definitions | p. 152 |
Application: Trade Restrictions | p. 154 |
Application: Jury Voting | p. 156 |
Application: Jury Voting with a Continuum of Signals | p. 159 |
Application: Public Goods and Incomplete Information | p. 161 |
Application: Uncertainty About Candidate Preferences | p. 164 |
Application: Campaigns, Contests, and Auctions | p. 166 |
Existence of Bayesian Nash Equilibria | p. 168 |
Exercises | p. 169 |
Extensive Form Games | p. 171 |
Backward Induction | p. 175 |
Dynamic Games of Complete but Imperfect Information | p. 177 |
The Single-Deviation Principle | p. 184 |
A Digression on Subgame Perfection and Perfect Equilibria | p. 185 |
Application: Agenda Control | p. 186 |
Application: A Model of Power Transitions | p. 192 |
Application: A Model of Transitions to Democracy | p. 193 |
Application: A Model of Coalition Formation | p. 197 |
Exercises | p. 201 |
Dynamic Games of Incomplete Information | p. 204 |
Perfect Bayesian Equilibria | p. 208 |
Signaling Games | p. 214 |
Application: Entry Deterrence in Elections | p. 219 |
Application: Information and Legislative Organization | p. 227 |
Application: Informational Lobbying | p. 232 |
Refinements of Perfect Bayesian Equilibrium | p. 236 |
Exercises | p. 248 |
Repeated Games | p. 251 |
The Repeated Prisoner's Dilemma | p. 252 |
The Grim Trigger Equilibrium | p. 253 |
Tit-for-Tat Strategies | p. 256 |
Intermediate Punishment Strategies | p. 258 |
The Folk Theorem | p. 260 |
Application: Interethnic Cooperation | p. 263 |
Application: Trade Wars | p. 269 |
Exercises | p. 273 |
Bargaining Theory | p. 275 |
The Nash Bargaining Solution | p. 275 |
Noncooperative Bargaining | p. 281 |
Majority-Rule Bargaining Under a Closed Rule | p. 286 |
The Baron-Ferejohn Model Under Open Rule | p. 291 |
Bargaining with Incomplete Information | p. 294 |
Application: Veto Bargaining | p. 296 |
Application: Crisis Bargaining | p. 307 |
Exercises | p. 318 |
Mechanism Design and Agency Theory | p. 320 |
An Example | p. 321 |
The Mechanism Design Problem | p. 323 |
Application: Polling | p. 326 |
Auction Theory | p. 328 |
Application: Electoral Contests and All-Pay Auctions* | p. 334 |
Incentive Compatibility and Individual Rationality | p. 339 |
Constrained Mechanism Design | p. 342 |
Mechanism Design and Signaling Games | p. 361 |
Exercises | p. 366 |
Mathematical Appendix | p. 369 |
Mathematical Statements and Proofs | p. 370 |
Sets and Functions | p. 372 |
The Real Number System | p. 376 |
Points and Sets | p. 378 |
Continuity of Functions | p. 380 |
Correspondences | p. 383 |
Calculus | p. 384 |
Probability Theory | p. 404 |
Bibliography | p. 417 |
Index | p. 423 |
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