A random Stackelberg equilibrium via random variational inequalities

Abstract

The purpose of this paper is to present a class of the random Stackelberg equilibrium problem for two players. We focus on applying the random variational inequalities techniques and random fixed point theory to the location and existence of the random Stackelberg equilibrium. In particular, we discuss the existence of the random Stakelberg variational response set in non-compact strategy sets by the random neural network. Our results extend and improve some corresponding ones in Nagy [S. Nagy, J. Glob. Optim., 57(2013), pp. 821-828 ].