Preference, Production and Capital

This volume contains a selection of Professor Uzawa's important contributions to mathematical economics.

Foreword; Preface; Part I. Preference and Demand: 1. Preference and rational choice in the theory of consumption; 2. On the integrability of demand functions; 3. Time preference, the consumption function, and optimum asset holdings; Part II. Duality and Production: 4. Duality principles in the theory of cost and production; 5. Production functions with constant elasticities of substitution; 6. Neutral inventions and the stability of growth equilibrium; 7. Optimum technical change in an aggregative model of economic growth; Part III. Concave Programming: 8. The Kuhn-Tucker theorem in concave programming; 9. Iterative methods for concave programming; 10. Prices of the factors of production in international trade; Part IV. Equilibrium and Stability: 11. Walras's existence theorem and Brouwer's fixed-point theorem; 12. On the stability of Edgeworth's barter process; Part V. Theory of Economic Growth: 13. On a two-sector model of economic growth, I; 14. On a two-sector model of economic growth, II; 15. Time preference and the Penrose effect in a two-class model of economic growth; 16. On the dynamic stability of economic growth: the neoclassical versus Keynesian approaches; Part VI. Optimum Growth: 17. Optimal growth in a two-sector model of capital accumulation; 18. Optimum fiscal policy in an aggregative model of economic growth; 19. On the economics of social overhead capital; Index.