This volume contains a selection of Professor Uzawa's important contributions to mathematical economics. Subjects covered by these nineteen essays include consumption, production, equilibrium, capital, growth, planning, international trade, and the theory of social overhead capital. Written in the 1960s and early 1970s, the papers form a basis upon which economic theory has developed over the last twenty years. The collection includes some of Uzawa's classic contributions, such as 'Preference and Rational Choice in the Theory of Consumption' (presented at the First Stanford Symposium), 'Time Preference, the Consumption Function, and Optimum Asset Holdings', 'Neutral Inventions and the Stability of Growth Equilibrium', 'On a Two-Sector Model of Economic Growth', 'Time Preference and the Penrose Effect in a Two-Class Model of Economic Growth', and 'On the Economics of Social Overhead Capital'. The collection will be useful not only in understanding the nature of the development in economic theory today, but also in reflecting upon the direction toward which economic theory will be advancing in the future.

### Contents

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 Kuhnâ€“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.