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Quasi-Variational Inequalities without Concavity Assumptions


  • Tian, Guoqiang
  • Zhou, Jianxin


This paper generalizes a foundational quasi-variationalinequality by relaxing the (0-diagonal) concavity condition. The approach adopted in this paper is based on continuous selection-type arguments and hence it is quite different from the approach used in the literature. Thus it enables us to prose the existence of equilibrium of the constrained noncooperative games without assuming the (quasi) convexity of loss functions.

Suggested Citation

  • Tian, Guoqiang & Zhou, Jianxin, 1991. "Quasi-Variational Inequalities without Concavity Assumptions," MPRA Paper 41222, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:41222

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    References listed on IDEAS

    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.
    2. 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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    More about this item


    Quasi-Variational; Inequalities; Concavity;

    JEL classification:

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


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