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Individual Decision-Making | |
Introduction to Part I | |
Preference and Choice | |
Introduction | |
Preference Relations | |
Choice Rules | |
The Relationship between Preference Relations and Choice Rules | |
Exercises | |
Consumer Choice | |
Introduction | |
Commodities | |
The Consumption Set | |
Competitive Budgets | |
Demand Functions and Comparartive Statics | |
The Weak Axiom of Revealed Preference and the Law of Demand | |
Exercises | |
Classical Demand Theory | |
Introduction | |
Preference Relations: Basic Properties | |
Preference and Utility | |
The Utility Maximization Problem | |
The Expenditure Minimization Problem | |
Duality: A Mathematical Introduction | |
Relationships between Demand, Indirect Utility, and Expenditure Functions | |
Integrability | |
Welfare Evaluation of Economic Changes | |
The Strong Axiom of Revealed Preference | |
Appendix: Continuity and Differentiability Properties of Walrasian Demand | |
Exercises | |
Aggregate Demand | |
Introduction | |
Aggregate Demand and Aggregate Wealth | |
Aggregate Demand and the Weak Axiom | |
Aggregate Demand and the Existence of a Representative Consumer | |
Appendix: Regularizing Effects of Aggregation | |
Exercises | |
Production | |
Introduction | |
Production Sets | |
Profit Maximization and Cost Minimization | |
The Geometry of Cost and Supply in the Single Output Case | |
Aggregation | |
Efficient Production | |
Remarks on the Objectives of the Firm | |
Appendix: The Linear Activity Model | |
Exercises | |
Choice under Uncertainty | |
Introduction | |
Expected Utility Theory | |
Money Lotteries and Risk Aversion | |
Comparison of Payoff Distributions in Terms of Return and Risk | |
State Dependent Utility | |
Subjective Probability Theory | |
Exercises | |
Game Theory | |
Introduction to Part II | |
Basic Elements of Non-Cooperative Games | |
Introduction | |
What is a Game? | |
The Extensive Form Representation of a Game | |
Strategies and the Normal Form Representation of a Game | |
Randomized Choices | |
Exercises | |
Simultaneous-Move Games | |
Introduction | |
Dominant and Dominated Strategies | |
Rationalizable Strategies | |
Nash Equilibrium | |
Games of Incomplete Information: Bayesian Nash Equilibrium | |
The Possibility of Mistakes: Trembling-Hand Perfection | |
Appendix: Existence of Nash Equilibrium | |
Exercises | |
Dynamic Games | |
Introduction | |
Sequential Rationality, Backwards Induction, and Subgame Perfection | |
Sequential Rationality and Out-of-Equilibrium Beliefs | |
Reasonable Beliefs, Forward Induction, and Normal Form Refinements | |
Finite and Infinite Horizon Bilateral Bargaining | |
Extensive Form Trembling-Hand Perfection | |
Exercises | |
Market Equilibrium And Market Failure | |
Introduction to Part III | |
Competitive Markets | |
Introduction | |
Pareto Optimality and Competitive Equilibria | |
Partial Equilibrium Competitive Analysis | |
The Fundamental Welfare Theorems in a Partial Equilibrium Context | |
Welfare Analysis in the Partial Equilibrium Model | |
Free-Entry and Long-Run Competitive Equilibria | |
Concluding Remarks on Partial Equilibrium Analysis | |
Exercises | |
Externalities and Public Goods | |
Introduction | |
A Simple Bilateral Externality | |
Public Goods | |
Multilateral Externalities | |
Private Information and Second-Best Solutions | |
Appendix: Non-Convexities and the Theory of Externalities | |
Exercises | |
Market Power | |
Introduction | |
Monopoly Pricing | |
Static Models of Oligopoly | |
Repeated Interaction | |
Entry | |
The Competitive Limit | |
Strategic Precommitments to Affect Future Competition | |
Infinitely Repeated Games and the Folk Theorem | |
Strategic Entry Deterrence and Accommodation | |
Exercises | |
Adverse Selection, Signalling, and Screening | |
Introduction | |
Informational Asymmetries and Adverse Selection | |
Signalling | |
Screening | |
Appendix: Reasonable-Beliefs Refinements in Signalling Games | |
Exercises | |
The Principal-Agent Problem | |
Introduction | |
Hidden Actions (Moral Hazard) | |
Hidden Information (and Monopolistic Screening) | |
Hidden Actions and Hidden Information: Hybrid Models | |
Multiple Effort Levels in the Hidden Action Model | |
A Formal Solution of the Principal-Agent Problem with Hidden Information | |
Exercises | |
General Equilibrium | |
Introduction to Part IV | |
General Equilibrium Theory: Some Examples | |
Introduction | |
Pure Exchange: The Edgeworth Box | |
The One Consumer-One Producer Economy | |
The 2x2 Production Model | |
General versus Partial Equilibrium Theory | |
Exercises | |
Equilibrium and Its Basic Welfare Properties | |
Introduction | |
The Basic Model and Definitions | |
The First Fundamental Theorem of Welfare Economics | |
The Second Fundamental Theorem of Welfare Economics | |
Pareto Optimality and Social Welfare Optima | |
First-Order Conditions for Pareto Optimality | |
Some Applications | |
Appendix: Technical Properties of the Set of Feasible Allocations | |
Exercises | |
The Positive Theory of Equilibrium | |
Introduction | |
Equilibrium: Definitions and Basic Equations | |
Existence of Walrasian Equilibrium | |
Local Uniqueness and the Index Theorem | |
Anything Goes: The Sonnenschein-Mantel-Debreu Theorem | |
Uniqueness of Equilibria | |
Comparative Statics Analysis | |
Tatonnement Stability | |
Large Economies and Non-Convexities | |
Characterizing Equilibrium through Welfare Equations | |
A General Approach to the Existence of Walrasian Equilibrium | |
Exercises | |
Some Foundations for Competitive Equilibria | |
Introduction | |
Core and Equilibria | |
Non-Cooperative Foundations of Walrasian Equilibria | |
The Limits to Redistribution | |
Equilibrium and the Marginal Productivity Principle | |
Appendix: Cooperative Game Theory | |
Exercises | |
General Equilibrium under Uncertainty | |
Introduction | |
A Market Economy with Contingent Commodities: Description | |
Arrow-Debreu Equilibrium | |
Sequential Trade | |
Asset Markets | |
Incomplete Markets | |
Firm Behavior in General Equilibrium Models under Uncertainty | |
Imperfect Information | |
Exercises | |
Equilibrium and Time | |
Introduction | |
Intertemporal Utility | |
Intertemporal Production and Efficiency | |
Equilibrium: The One-Consumer Case | |
Stationary Programs, Interest Rates, and Golden Rules | |
Dynamics | |
Equilibrium: Several Consumers | |
Overlapping Generations | |
Remarks on Non-Equilibrium Dynamics: Tatonnement and Learning | |
Exercises | |
Welfare Economics And Incentives | |
Introduction to Part V | |
Social Choice Theory | |
Introduction | |
A Special Case: Social Preferences over Two Alternatives | |
The General Case: Arrow's Impossibility Theorem | |
Some Possibility Results: Restricted Domains | |
Social Choice Functions | |
Exercises | |
Elements of Welfare Economics and Axiomatic Bargaining | |
Introduction | |
Utility Possibility Sets | |
Social Welfare Functions and Social Optima | |
Invariance Properties of Social Welfare Functions | |
The Axiomatic Bargaining Approach | |
Coalitional Bargaining: The Shapley Value | |
Exercises | |
Incentives and Mechanism Design | |
Introduction | |
The Mechanism Design Problem | |
Dominant Strategy Implementation | |
Bayesian Implementation | |
Participation Constraints | |
Optimal Bayesian Mechanisms | |
Implementation and Multiple Equilibria | |
Implementation in Environments with Complete Information | |
Exercises | |
Mathematical Appendix | |
Introduction | |
Homogeneous Functions and Euler's Formula | |
Concave and Quasiconcave Functions | |
Matrices: Negative (Semi)Definiteness and Other Properties | |
The Implicit Function Theorem | |
Continuous Functions and Compact Sets | |
Convex Sets and Separating Hyperplanes | |
Correspondences | |
Fixed Point Theorems | |
Unconstrained Maximization | |
Constrained Maximization | |
The Envelope Theorem | |
Linear Programming | |
Dynamic Programming | |
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