Non‐compact random generalized games and random quasi‐variational inequalities
Xian-Zhi Yuan · International Journal of Stochastic Analysis · 1994
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.