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Generalized quasi-variational-like inequality problem

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  • Tian, Guoqiang

Abstract

This paper gives some very general results on the generalized quasi-variational-like inequality problem. Since the problem includes all the existing extensions of the classical variational inequality problem as special cases, our existence theorems extend the previous results in the literature by relaxing both continuity and concavity of the functional. The approach adopted in this paper is based on continuous selection-type arguments and thus is quite different from the Berge Maximum Theorem or Hahn-Banach Theorem approach used in the literature.

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File URL: http://mpra.ub.uni-muenchen.de/41219/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 41219.

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Date of creation: 16 Sep 1991
Date of revision: 26 May 1992
Publication status: Published in Mathematics of Operations Research 3.18(1993): pp. 752-764
Handle: RePEc:pra:mprapa:41219

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Keywords: Quasi-Variational; Inequality; Problem;

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  1. Yannelis, Nicholas C., 1987. "Equilibria in noncooperative models of competition," Journal of Economic Theory, Elsevier, Elsevier, vol. 41(1), pages 96-111, February.
  2. 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.
  3. Tian, Guoqiang, 1992. "Existence of equilibrium in abstract economies with discontinuous payoffs and non-compact choice spaces," Journal of Mathematical Economics, Elsevier, vol. 21(4), pages 379-388.
  4. Bergstrom, Theodore C. & Parks, Robert P. & Rader, Trout, 1976. "Preferences which have open graphs," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 265-268, December.
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