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Quasi-variational Inequalities with Non-compact Sets

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  • Tian, Guoqiang
  • Zhou, Jianxin

Abstract

In this paper, we first generalize a foundational quasi-variational inequality (Theorem 3) which plays a key role throughout this paper by relaxing the compactness condition. Then we set up general forms of (generalized) quasi-variational inequalities and obtain a series of existence theorems without the compactness assumption. Also, since many other quasi-variational inequalities in the literature are special cases of ours, they can be generalized by our results.

Suggested Citation

  • Tian, Guoqiang & Zhou, Jianxin, 1990. "Quasi-variational Inequalities with Non-compact Sets," MPRA Paper 41230, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:41230
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    File URL: https://mpra.ub.uni-muenchen.de/41230/1/MPRA_paper_41230.pdf
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    References listed on IDEAS

    as
    1. Shafer, Wayne & Sonnenschein, Hugo, 1975. "Equilibrium in abstract economies without ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 345-348, December.
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    More about this item

    Keywords

    Quasi-variational Inequalities; Non-compact Sets;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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