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

Xian-Zhi Yuan

International Journal of Stochastic Analysis, 1994, vol. 7, 1-20

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.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:931746

DOI: 10.1155/S1048953394000377

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