| Preface | p. xiii |
| p. 1 |
| Consumer Choice: The Basics | p. 1 |
| Proving Most of Proposition 1.2, and More | p. 5 |
| The No-Better-Than Sets and Utility Representations | p. 7 |
| Strict Preference and Indifference | p. 9 |
| Infinite Sets and Utility Representations | p. 10 |
| Choice from Infinite Sets | p. 15 |
| Equivalent Utility Representations | p. 17 |
| Commentary | p. 18 |
| Bibliographic Notes | p. 23 |
| Problems | p. 23 |
| p. 30 |
| Monotonicity | p. 31 |
| Convexity | p. 32 |
| Continuity | p. 35 |
| Indifference Curve Diagrams | p. 38 |
| Weak and Additive Separability | p. 39 |
| Quasi-linearity | p. 43 |
| Homotheticity | p. 44 |
| Bibliographic Notes | p. 45 |
| Problems | p. 45 |
| p. 50 |
| The Consumer's Problem | p. 50 |
| Basic Facts about the CP | p. 52 |
| The Marshallian Demand Correspondence and Indirect Utility Function | p. 54 |
| Solving the CP with Calculus | p. 56 |
| Bibliographic Notes | p. 63 |
| Problems | p. 64 |
| p. 67 |
| An Example and Basic Ideas | p. 67 |
| GARP and Afriat's Theorem | p. 70 |
| Comparative Statics and the Own-Price Effect | p. 74 |
| Bibliographic Notes | p. 77 |
| Problems | p. 78 |
| p. 79 |
| Two Models and Three Representations | p. 79 |
| The Mixture-Space Theorem | p. 89 |
| States of Nature and Subjective Expected Utility | p. 101 |
| Subjective and Objective Probability and the Harsanyi Doctrine | p. 108 |
| Empirical and Theoretical Critiques | p. 110 |
| Bibliographic Notes | p. 116 |
| Problems | p. 116 |
| p. 123 |
| Properties of Utility Functions for Money | p. 123 |
| Induced Preferences for Income | p. 134 |
| Demand for Insurance and Risky Assets | p. 138 |
| Bibliographic Notes | p. 140 |
| Problems | p. 140 |
| p. 148 |
| The Standard Strategic Approach | p. 149 |
| Dynamic Programming | p. 152 |
| Testable Restrictions of the Standard Model | p. 153 |
| Three Alternatives to the Standard Model | p. 156 |
| Bibliographic Notes | p. 161 |
| Problems | p. 161 |
| p. 166 |
| Arrow's Theorem | p. 166 |
| What Do We Give Up? | p. 172 |
| Efficiency | p. 175 |
| Identifying the Pareto Frontier: Utility Imputations and Bergsonian Social Utility Functionals | p. 176 |
| Syndicate Theory and Efficient Risk Sharing: Applying Proposition 8.10 | p. 184 |
| Efficiency? | p. 192 |
| Bibliographic Notes | p. 194 |
| Problems | p. 194 |
| p. 197 |
| The Production-Possibility Set | p. 198 |
| Profit Maximization | p. 199 |
| Basics of the Firm's Profit-Maximization Problem | p. 201 |
| Afriat's Theorem for Firms | p. 207 |
| From Profit Functions to Production-Possibility Sets | p. 211 |
| How Many Production-Possibility Sets Give the Same Profit Function? | p. 213 |
| What Is Going On Here, Mathematically? | p. 216 |
| Differentiability of the Profit Function | p. 219 |
| Cost Minimization and Input-Requirement Sets | p. 222 |
| Why DoWe Care? | p. 228 |
| Bibilographic Notes | p. 229 |
| Problems | p. 229 |
| p. 233 |
| Defining the EMP | p. 233 |
| Basic Analysis of the EMP | p. 235 |
| Hicksian Demand and the Expenditure Function | p. 236 |
| Properties of the Expenditure Function | p. 238 |
| How Many Continuous Utility Functions | |
| Give the Same Expenditure Function? | p. 240 |
| Recovering Continuous Utility Functions from Expenditure Functions | p. 247 |
| Is an Alleged Expenditure Function Really an Expenditure Function? | p. 248 |
| Connecting the CP and the EMP | p. 254 |
| Bibliographic Notes | p. 255 |
| Problems | p. 255 |
| p. 258 |
| Roy's Identity and the Slutsky Equation | p. 258 |
| Differentiability of Indirect Utility | p. 262 |
| Duality of Utility and Indirect Utility | p. 269 |
| Differentiability of Marshallian Demand | p. 274 |
| Integrability | p. 279 |
| Complements and Substitutes | p. 283 |
| Integrability and Revealed Preference | p. 284 |
| Bibliographic Notes | p. 286 |
| Problems | p. 287 |
| p. 289 |
| Producer Surplus | p. 289 |
| Consumer Surplus | p. 296 |
| Bibliographic Notes | p. 304 |
| Problems | p. 304 |
| p. 306 |
| Aggregating Firms | p. 307 |
| Aggregating Consumers | p. 310 |
| Convexification through Aggregation | p. 318 |
| Bibliographic Notes | p. 326 |
| Problems | p. 326 |
| p. 329 |
| Definitions | p. 329 |
| Basic Properties ofWalrasian Equilibrium | p. 333 |
| The Edgeworth Box | p. 335 |
| Existence ofWalrasian Equilibria | p. 338 |
| The Set of Equilibria for a Fixed Economy | p. 351 |
| The Equilibrium Correspondence | p. 354 |
| Bibliographic Notes | p. 354 |
| Problems | p. 355 |
| p. 358 |
| The First Theorem ofWelfare Economics | p. 359 |
| The Second Theorem ofWelfare Economics | p. 362 |
| Walrasian Equilibria Are in the Core | p. 366 |
| In a Large Enough Economy, Every Core Allocation Is a Walrasian-Equilibrium Allocation | p. 370 |
| Externalities and Lindahl Equilibrium | p. 380 |
| Bibliographic Notes | p. 383 |
| Problems | p. 383 |
| p. 386 |
| A Framework for Time and Uncertainty | p. 386 |
| General Equilibrium with Time and Uncertainty | p. 389 |
| Equilibria of Plans, Prices, and Price Expectations: I. Pure Exchange with Contingent Claims | p. 392 |
| EPPPE: II. Complex Financial Securities and Complete Markets | p. 402 |
| EPPPE: III. Complex Securities with Real Dividends and Complete Markets | p. 418 |
| Incomplete Markets | p. 419 |
| Firms | p. 424 |
| Bibliographic Notes | p. 431 |
| Problems | p. 432 |
| About the Appendices | p. 437 |
| Mathematical Induction | p. 439 |
| Some Simple Real Analysis | p. 441 |
| The Setting | p. 441 |
| Distance, Neighborhoods, and Open and Closed Sets | p. 441 |
| Sequences and Limits | p. 445 |
| Boundedness, (Completeness), and Compactness | p. 446 |
| Continuous Functions | p. 447 |
| Simply Connected Sets and the Intermediate-Value Theorem | p. 448 |
| Suprema and Infima; Maxes and Mins | p. 448 |
| The Maximum of a Continuous Function on a Compact Set | p. 449 |
| Lims Sup and Inf | p. 450 |
| Upper and Lower Semi-continuous Functions | p. 451 |
| Convexity | p. 452 |
| Convex Sets | p. 452 |
| The Separating- and Supporting-Hyperplane Theorems | p. 457 |
| The Support-Function Theorem | p. 459 |
| Concave and Convex Functions | p. 461 |
| Quasi-concavity and Quasi-convexity | p. 463 |
| Supergradients and Subgradients | p. 466 |
| Concave and Convex Functions and Calculus | p. 468 |
| Correspondences | p. 469 |
| Functions and Correspondences | p. 470 |
| Continuity of Correspondences | p. 471 |
| Singleton-Valued Correspondences and Continuity | p. 474 |
| Parametric Constrained Optimization Problems and Berge's Theorem | p. 475 |
| Why this Terminology? | p. 477 |
| Constrained Optimization | p. 479 |
| Dynamic Programming | p. 485 |
| Several Examples | p. 485 |
| A General Formulation | p. 489 |
| Bellman's Equation | p. 494 |
| Conserving and Unimprovable Strategies | p. 496 |
| Additive Rewards | p. 501 |
| States of the System | p. 504 |
| Solving Finite-Horizon Problems | p. 506 |
| Infinite-Horizon Problems and Stationarity | p. 509 |
| Solving Infinite-Horizon (Stationary) Problems with Unimprovability | p. 512 |
| Policy Iteration (and Transience) | p. 516 |
| Value Iteration | p. 518 |
| Examples | p. 521 |
| Things Not Covered Here: Other Optimality Criteria; Continuous Time and Control Theory | p. 527 |
| Multi-armed Bandits and Complexity | p. 528 |
| Four More Problems You Can Solve | p. 530 |
| The Implicit Function Theorem | p. 534 |
| Fixed-Point Theory | p. 535 |
| References | p. 543 |
| Index | p. 551 |
| Table of Contents provided by Publisher. All Rights Reserved. |
