In Capital Theory and Equilibrium Analysis and Recursive Utility, Robert Becker and John Boyd have synthesized their previously unpublished work on recursive models.List of Examples.
Preface.
Part I: The Recursive Utility Approach:.
1. Introduction.
2. What is a Recursive Utility Function?.
3. Why Study Recursive Utility?.
3.1. The Long Run Incidence of Capital Taxation. The Tax Model. Tax Incidence with the TAS Specification. Tax Incidence With the Epstein-Hynes Utility Specification.
3.2. The Impatience Problem. The Impatience Problem with an Epstein-Hynes Utility Function.
4. Recursive Utility and Commodity Spaces.
4.1 Diminishing Returns and Bounded Growth.
4.2 Nondecreasing Returns and Sustained Growth. Growth and Exogenous Technical Progress. Endogenous Growth Models.
4.3. Order Structures. Weak Separability of the Future from the Present. Partial Orders on the Commodity Space.
5. Conclusion.
Part II: Commodity and Price Spaces:.
1. Introduction.
2. Commodity Spaces.
2.1. Order Properties. Free Disposal.
2.2 Topological Properties. Metric Spaces. Continuity. Compactness, Product Spaces, and the Tychonoff. Theorem. Connectedness.
2.3. Linear Topologies. Order Convergence. Contraction Mapping Theorems.
3. Commodity Price Dualities.
3.1. Duals and Hyperplanes.
3.2. Hahn-Banach Theorems.
3.3. Dual Pairs and Weak Topologies.
3.4. Order Duals.
4. Conclusion.
Part III: Representation of Recursive Preferences:.
1. Introduction.
2. Preference Orders and Util“.
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