On the Mas-Colell-Richard equilibrium theorem

成果类型:
Article
署名作者:
Aliprantis, CD
署名单位:
Purdue University System; Purdue University; Purdue University in Indianapolis; Cornell University
刊物名称:
JOURNAL OF ECONOMIC THEORY
ISSN/ISSBN:
0022-0531
DOI:
10.1006/jeth.1996.2257
发表日期:
1997
页码:
414-424
关键词:
摘要:
A. Mas-Colell and S. F. Richard (J. Econ. Theory 53 (1991), 1-11) published a remarkable infinite dimensional equilibrium existence theorem for exchange economies that encompasses all the currently available important equilibrium results as corollaries. To prove this theorem, the authors utilized in an ingenious way the lattice structure of Riesz spaces. However, in two critical steps during the proof of the theorem. there is an ''obvious'' claim used by the authors which may fail to be true. In this note, we present an example where this ''obvious'' conclusion is false. We also indicate how one can correct the proof of this truly outstanding equilibrium existence theorem. (C) 1997 Academic Press.