General Equilibrium, Overlapping Generations Models, and Optimal Growth Theory

Intro -- Contents -- Acknowledgments -- 1 Why Study General Equilibrium? -- 2 The General Equilibrium Model -- 2.1 Commodities -- 2.2 Allocations -- 2.3 Utility Functions -- 2.4 Economies -- 3 Economic Efficiency -- 3.1 Definition of Pareto Optimality -- 3.2 Existence of Pareto Optimal Allocations -- The Bolzano-Weierstrass Theorem -- 3.3 The Utility Possibility Frontier -- 3.4 The Calculation of Pareto Optima -- Homogeneous Functions -- 3.5 Pareto Optimality and Optimality: Minkowski's Separation Theorem -- 3.6 The Structure of the Utility Possibility Frontier -- 3.7 Compactness of the Set of Feasible Allocations -- 4 Competitive Equilibrium -- 4.1 The Definition of Competitive Equilibrium -- 4.2 Properties of Market Excess Demand and Equilibrium -- 4.3 Offer Curves -- 4.4 Equilibrium with Constant Returns to Scale -- 4.5 Computation of Competitive Equilibrium in SimpleExamples -- 4.6 Aggregate Input-Output Possibility Sets -- 4.7 An Incomplete Theorem on the Existence of Equilibrium -- 4.8 A Complete Theorem on the Existence of Equilibrium -- 4.9 An Example of Discontinuous Behavior of Equilibria -- 5 The Welfare Theorems -- 5.1 The First Welfare Theorem -- 5.2 The Second Welfare Theorem -- 5.3 Another Complete Theorem on the Existence of Equilibrium -- 6 The Kuhn-Tucker Approach to General Equilibrium Theory -- 6.1 Kuhn-Tucker Theorem -- 6.2 Kuhn-Tucker Coefficients -- 6.3 The Kuhn-Tucker Interpretation of Competitive Equilibrium -- 6.4 The Differentiable Case -- 6.5 Proof of the Kuhn-Tucker Theorem -- 7 Arrow-Debreu Equilibrium -- 7.1 The Arrow-Debreu Model -- 7.2 Arrow Equilibrium -- 7.3 Insurance -- 7.4 Incomplete Markets and the Definition of Profit Maximization -- 8 Rational Expectations Equilibrium and the Permanent Income Hypothesis -- 8.1 The Permanent Income Hypothesis -- 8.2 Rational Expectations Equilibrium.