Random equilibria of random generalized games with applications to non-compact random quasi-variational inequalities

Variational inequalities (49J40) Set-valued maps in general topology (54C60) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Games with infinitely many players (91A07) Fixed-point theorems (47H10) Set-valued operators (47H04) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Methods involving semicontinuity and convergence; relaxation (49J45) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic games, stochastic differential games (91A15) General equilibrium theory (91B50) Random linear operators (47B80) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Random nonlinear operators (47H40) Probabilistic games; gambling (91A60) Existence of optimal solutions to problems involving randomness (49J55)