Non-compact random generalized games and random quasi-variational inequalities (Q1346195)

Summary: 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 non- compact generalized random quasi-variational inequalities which are either stochastic versions of known deterministic inequalities or refinements of corresponding results known in the literature.