AGGREGATIVE CONVEXITY AND THE EXISTENCE OF COMPETITIVE EQUILIBRIUM

AGGREGATIVE CONVEXITY AND THE EXISTENCE OF COMPETITIVE EQUILIBRIUM
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聚合凸性和竞争均衡的存在

DOI:
10.11398/economics1950.12.2_52
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发表时间:
1962
期刊:
The Economic studies quarterly
影响因子:
--
通讯作者:
H. Uzawa
H. Uzawa
中科院分区:
--
文献类型:
--
作者:
H. Uzawa

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我非常感谢Kenneth J. Arrow和Gerard Debreu提出的宝贵意见和建议。本论文的主要部分为“关于竞争经济中均衡存在的注解”,载于1956年11月27日斯坦福大学经济系技术报告第40号,Nonr-25133。这项工作在一定程度上得到了斯坦福大学海军研究办公室NR-047-004任务的支持。2)Farrell[2]证明了总生产可能性集的渐近凸性,在这种情况下,每个企业都有相同的生产可能性集,而Hurwicz和Uzawa[2]证明了一般情况下的渐近凸性。
1) I am very much indebted to Kenneth J. Arrow and Gerard Debreu for their valuable comments and suggestions. The main part of the present paper was written as" Note on the Existence of an Equilibrium for a Competitive Economy," Technical Report No. 40, Nonr-25133, Department of Economics, Stanford University, November 27, 1956. This work was in part supported by the Office of Naval Research under Task NR-047-004 at Stanford University. 2) The asymptotic convexity of the aggregate production possibility set was shown by Farrell [2] f or the case in which every firm has an identical production possibility set, and by Hurwicz and Uzawa [4] for the general case.