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Maximal Elements and Equilibrium of Abstract Economy

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Abstract

An existence theorem of maximal elements for a new type of preference correspondences which are QΘ-majorized is given. Then some existence theorems of equilibrium for abstract economy and qualitative game in which the constraint or preference correspondences are QΘ-majorized are obtained in locally convex topological vector spaces.

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Authors and Affiliations

  1. Science Research Institute, Department of Applied Mathematics and Applied Software, Central South University, Changsha, 410083, P R China

    Xin-ge Liu & Hai-tao Cai

Authors
  1. Xin-ge Liu
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  2. Hai-tao Cai
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Liu, Xg., Cai, Ht. Maximal Elements and Equilibrium of Abstract Economy. Applied Mathematics and Mechanics 22, 1225–1230 (2001). https://doi.org/10.1023/A:1016309703389

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  • DOI: https://doi.org/10.1023/A:1016309703389

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