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Non-compact random generalized games and random quasi-variational inequalities

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  • Xian-Zhi Yuan

Abstract

In this paper, existence theorems of random maximal elements, random equilibria for the random one-person game and random generalized game with a countable number of players are given as applications of random fixed point theorems. By employing existence theorems of random generalized games, we deduce the existence of solutions for non-compact random quasi-variational inequalities. These in turn are used to establish several existence theorems of noncompact generalized random quasi-variational inequalities which are either stochastic versions of known deterministic inequalities or refinements of corresponding results known in the literature.

Suggested Citation

  • Xian-Zhi Yuan, 1994. "Non-compact random generalized games and random quasi-variational inequalities," International Journal of Stochastic Analysis, Hindawi, vol. 7, pages 1-20, January.
    • Handle: RePEc:hin:jnijsa:931746
    DOI: 10.1155/S1048953394000377
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