Preface |
Rational Decision Making / Part I: |
The Single-Person Decision Problem / Chapter 1: |
Actions, Outcomes, and Preferences / 1.1: |
Preference Relations / 1.1.1: |
Payoff Functions / 1.1.2: |
The Rational Choice Paradigm / 1.2: |
Summary / 1.3: |
Exercises / 1.4: |
Introducing Uncertainty and Time / Chapter 2: |
Risk, Nature, and Random Outcomes / 2.1: |
Finite Outcomes and Simple Lotteries / 2.1.1: |
Simple versus Compound Lotteries / 2.1.2: |
Lotteries over Continuous Outcomes / 2.1.3: |
Evaluating Random Outcomes / 2.2: |
Expected Payoff: The Finite Case / 2.2.1: |
Expected Payoff: The Continuous Case / 2.2.2: |
Caveat: It's Not Just the Order Anymore / 2.2.3: |
Risk Attitudes / 2.2.4: |
The St. Petersburg Paradox / 2.2.5: |
Rational Decision Making with Uncertainty / 2.3: |
Rationality Revisited / 2.3.1: |
Maximizing Expected Payoffs / 2.3.2: |
Decisions over Time / 2.4: |
Backward Induction / 2.4.1: |
Discounting Future Payoffs / 2.4.2: |
Applications / 2.5: |
The Value of Information / 2.5.1: |
Discounted Future Consumption / 2.5.2: |
Theory versus Practice / 2.6: |
Static Games of Complete Information / 2.7: |
Preliminaries / Chapter 3: |
Normal-Form Games with Pure Strategies / 3.1: |
Example: The Prisoner's Dilemma / 3.1.1: |
Example: Cournot Duopoly / 3.1.2: |
Example: Voting on a New Agenda / 3.1.3: |
Matrix Representation: Two-Player Finite Game / 3.2: |
Example: Rock-Paper-Scissors / 3.2.1: |
Solution Concepts / 3.3: |
Assumptions and Setup / 3.3.1: |
Evaluating Solution Concepts / 3.3.2: |
Evaluating Outcomes / 3.3.3: |
Rationality and Common Knowledge / 3.4: |
Dominance in Pure Strategies / 4.1: |
Dominated Strategies / 4.1.1: |
Dominant Strategy Equilibrium / 4.1.2: |
Evaluating Dominant Strategy Equilibrium / 4.1.3: |
Iterated Elimination of Strictly Dominated Pure Strategies / 4.2: |
Iterated Elimination and Common Knowledge of Rationality / 4.2.1: |
Evaluating IESDS / 4.2.2: |
Beliefs, Best Response, and Rationalizability / 4.3: |
The Best Response / 4.3.1: |
Beliefs and Best-Response Correspondences / 4.3.2: |
Rationalizability / 4.3.3: |
The Cournot Duopoly Revisited / 4.3.4: |
The "p-Beauty Contest" / 4.3.5: |
Evaluating Rationalizability / 4.3.6: |
Pinning Down Beliefs: Nash Equilibrium / 4.4: |
Nash Equilibrium in Pure Strategies / 5.1: |
Pure-Strategy Nash Equilibrium in a Matrix / 5.1.1: |
Evaluating the Nash Equilibria Solution / 5.1.2: |
Nash Equilibrium: Some Classic Applications / 5.2: |
Two Kinds of Societies / 5.2.1: |
The Tragedy of the Commons / 5.2.2: |
Coumot Duopoly / 5.2.3: |
Bertrand Duopoly / 5.2.4: |
Political Ideology and Electoral Competition / 5.2.5: |
Mixed Strategies / 5.3: |
Strategies, Beliefs, and Expected Payoffs / 6.1: |
Finite Strategy Sets / 6.1.1: |
Continuous Strategy Sets / 6.1.2: |
Beliefs and Mixed Strategies / 6.1.3: |
Expected Payoffs / 6.1.4: |
Mixed-Strategy Nash Equilibrium / 6.2: |
Example: Matching Pennies / 6.2.1: |
Multiple Equilibria: Pure and Mixed / 6.2.2: |
IESDS and Rationalizability Revisited / 6.3: |
Nash's Existence Theorem / 6.4: |
Dynamic Games of Complete Information / 6.5: |
The Extensive-Form Game / Chapter 7: |
Game Trees / 7.1.1: |
Imperfect versus Perfect Information / 7.1.2: |
Strategies and Nash Equilibrium / 7.2: |
Pure Strategies / 7.2.1: |
Mixed versus Behavioral Strategies / 7.2.2: |
Normal-Form Representation of Extensive-Form Games / 7.2.3: |
Nash Equilibrium and Paths of Play / 7.3: |
Credibility and Sequential Rationality / 7.4: |
Sequential Rationality and Backward Induction / 8.1: |
Subgame-Perfect Nash Equilibrium: Concept / 8.2: |
Subgame-Perfect Nash Equilibrium: Examples / 8.3: |
The Centipede Game / 8.3.1: |
Stackelberg Competition / 8.3.2: |
Mutually Assured Destruction / 8.3.3: |
Time-Inconsistent Preferences / 8.3.4: |
Multistage Games / 8.4: |
Payoffs / 9.1: |
Strategies and Conditional Play / 9.3: |
Subgame-Perfect Equilibria / 9.4: |
The One-Stage Deviation Principle / 9.5: |
Repeated Games / 9.6: |
Finitely Repeated Games / 10.1: |
Infinitely Repeated Games / 10.2: |
Strategies / 10.2.1: |
Application: Tacit Collusion / 10.3: |
Sequential Interaction and Reputation / 10.5: |
Cooperation as Reputation / 10.5.1: |
Third-Party Institutions as Reputation Mechanisms / 10.5.2: |
Reputation Transfers without Third Parties / 10.5.3: |
The Folk Theorem: Almost Anything Goes / 10.6: |
Strategic Bargaining / 10.7: |
One Round of Bargaining: The Ultimatum Game / 11.1: |
Finitely Many Rounds of Bargaining / 11.2: |
The Infinite-Horizon Game / 11.3: |
Application: Legislative Bargaining / 11.4: |
Closed-Rule Bargaining / 11.4.1: |
Open-Rule Bargaining / 11.4.2: |
Static Games of Incomplete Information / 11.5: |
Bayesian Games / Chapter 12: |
Strategic Representation of Bayesian Games / 12.1: |
Players, Actions, Information, and Preferences / 12.1.1: |
Deriving Posteriors from a Common Prior: A Player's Beliefs / 12.1.2: |
Strategies and Bayesian Nash Equilibrium / 12.1.3: |
Examples / 12.2: |
Teenagers and the Game of Chicken / 12.2.1: |
Study Groups / 12.2.2: |
Inefficient Trade and Adverse Selection / 12.3: |
Committee Voting / 12.4: |
Mixed Strategies Revisited: Harsanyi's Interpretation / 12.5: |
Auctions and Competitive Bidding / 12.6: |
Independent Private Values / 13.1: |
Second-Price Sealed-Bid Auctions / 13.1.1: |
English Auctions / 13.1.2: |
First-Price Sealed-Bid and Dutch Auctions / 13.1.3: |
Revenue Equivalence / 13.1.4: |
Common Values and the Winner's Curse / 13.2: |
Mechanism Design / 13.3: |
Setup: Mechanisms as Bayesian Games / 14.1: |
The Players / 14.1.1: |
The Mechanism Designer / 14.1.2: |
The Mechanism Game / 14.1.3: |
The Revelation Principle / 14.2: |
Dominant Strategies and Vickrey-Clarke-Groves Mechanisms / 14.3: |
Dominant Strategy Implementation / 14.3.1: |
Vickrey-Clarke-Groves Mechanisms / 14.3.2: |
Dynamic Games of Incomplete Information / 14.4: |
Sequential Rationality with Incomplete Information / Chapter 15: |
The Problem with Subgame Perfection / 15.1: |
Perfect Bayesian Equilibrium / 15.2: |
Sequential Equilibrium / 15.3: |
Signaling Games / 15.4: |
Education Signaling: The MBA Game / 16.1: |
Limit Pricing and Entry Deterrence / 16.2: |
Separating Equilibria / 16.2.1: |
Pooling Equilibria / 16.2.2: |
Refinements of Perfect Bayesian Equilibrium in Signaling Games / 16.3: |
Building a Reputation / 16.4: |
Cooperation in a Finitely Repeated Prisoner's Dilemma / 17.1: |
Driving a Tough Bargain / 17.2: |
A Reputation for Being "Nice" / 17.3: |
Information Transmission and Cheap Talk / 17.4: |
Information Transmission: A Finite Example / 18.1: |
Information Transmission: The Continuous Case / 18.2: |
Application: Information and Legislative Organization / 18.3: |
Mathematical Appendix / 18.4: |
Sets and Sequences / 19.1: |
Basic Definitions / 19.1.1: |
Basic Set Operations / 19.1.2: |
Functions / 19.2: |
Continuity / 19.2.1: |
Calculus and Optimization / 19.3: |
Differentiation and Optimization / 19.3.1: |
Integration / 19.3.3: |
Probability and Random Variables / 19.4: |
Cumulative Distribution and Density Functions / 19.4.1: |
Independence, Conditional Probability, and Bayes' Rule / 19.4.3: |
Expected Values / 19.4.4: |
References |
Index |
Preface |
Rational Decision Making / Part I: |
The Single-Person Decision Problem / Chapter 1: |