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Minimal essential sets and essential components of the equilibria of production economies

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Abstract

The purpose of this paper is to give a further study on the stability of production economies. The new results were given by considering the “set-valued” stability of equilibria. It is proved that there exists at least one minimal essential set of equilibrium points of the economy and every minimal essential set is connected. Based on these results, it is easy to prove that there is at least one essential component of the set of equilibrium points.

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Authors and Affiliations

  1. Department of Mathematics, Guizhou University, 550025, Guiyang, P R China

    Xiang Shu-wen

Authors
  1. Xiang Shu-wen
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Communicated by ZHANG Shi-sheng

CLC numbers: 0177.91; 0225

Document code: A

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Shu-wen, X. Minimal essential sets and essential components of the equilibria of production economies. Appl Math Mech 21, 909–914 (2000). https://doi.org/10.1007/BF02428360

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  • DOI: https://doi.org/10.1007/BF02428360

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