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The Study of Abstract Economies with Two Constraint Correspondences

Author

Listed:
  • L. J. Lin

    (National Changhua University of Education)

  • Y. H. Liu

    (National Changhua University of Education)

Abstract

We apply the Himmelberg fixed-point theorem to establish existence theorems of equilibria for generalized abstract economies with two constraint correspondences in which the strategic spaces may not be compact and the set of players may not be countable. Our results have applications in other sciences or disciplines (e.g. game theory, optimization theory and economics) in our subsequent paper.

Suggested Citation

  • L. J. Lin & Y. H. Liu, 2008. "The Study of Abstract Economies with Two Constraint Correspondences," Journal of Optimization Theory and Applications, Springer, vol. 137(1), pages 41-52, April.
    • Handle: RePEc:spr:joptap:v:137:y:2008:i:1:d:10.1007_s10957-007-9285-y
    DOI: 10.1007/s10957-007-9285-y
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    References listed on IDEAS

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    3. Yannelis, Nicholas C. & Prabhakar, N. D., 1983. "Existence of maximal elements and equilibria in linear topological spaces," Journal of Mathematical Economics, Elsevier, vol. 12(3), pages 233-245, December.
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