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  • 标题:An Algebraic Proof of the Existence of a Competitive Equilibrium in Exchange Economies
  • 本地全文:下载
  • 作者:Guang-Zhen Sun
  • 期刊名称:Theoretical Economics Letters
  • 印刷版ISSN:2162-2078
  • 电子版ISSN:2162-2086
  • 出版年度:2014
  • 卷号:4
  • 期号:3
  • 页码:232-234
  • DOI:10.4236/tel.2014.43031
  • 出版社:Scientific Research Publishing
  • 摘要:The standard excess demand argument for existence of competitive equilibria in exchange economies invokes maximizing the market value of the aggregate excess demand function and thereby adjusting the prices toward equilibrium. By exploiting the Perron-Frobenius theorem on stochastic matrices, we offer an algebraic proof of the existence of a competitive equilibrium without resorting to such a device of excess demand.
  • 关键词:Exchange Economy; Existence of Competitive Equilibrium; Perron-Frobenius Theorem
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