Gerard Debreu's Contributions to Economics
回顾了德布鲁在数理经济学领域的开创性工作,他与同事为微观经济学基本概念建立了拓扑和集合论基础,推动了一般均衡分析成为统一框架,对经济学整体产生深远影响。
For at least two decades the name of Debreu has been virtually synonymous with mathematical economics. His works have not only contributed to this area of study; they have set the standards for others to follow. Along with his contemporaries such as Arrow, Gale, Hurwicz, Koopmans, McKenzie, Samuelson and others, Debreu has helped to lay the foundations for much of our present understanding of the economic theory of production, consumption, and general equilibrium. During the early fifties Debreu and his colleagues at the Cowles Foundation revolutionized the study of economic theory by developing the topological and set theoretic foundations of the fundamental concepts of microeconomics. This understanding, coupled with a major outpouring of research illustrating the power of this approach, resulted in a significant change in emphasis in the study of economic theory. The earlier insights of the calculus approach to economic theory were understood in a new light through the use of the methods developed by Debreu and his co-workers. Not only have Debreu's works contributed to mathematical economics; they have contributed to the science of economics as a whole. One can hardly read an issue of the American Economic Review or the Journal of Political Economy without finding a reference to Debreu or other authors influenced by Debreu. Indeed, the field of general equilibrium analysis, pioneered by Debreu and others, has served as a unifying framework for