A CLASS OF TWO-STAGE DISTRIBUTIONALLY ROBUST GAMES

作者:Li, Bin; Sun, Jie; Xu, Honglei; Zhang, Min*
来源:Journal of Industrial and Management Optimization, 2019, 15(1): 387-400.
DOI:10.3934/jimo.2018048

摘要

An N-person noncooperative game under uncertainty is analyzed, in which each player solves a two-stage distributionally robust optimization problem that depends on a random vector as well as on other players' decisions. Particularly, a special case is considered, where the players' optimization problems are linear at both stages, and it is shown that the Nash equilibrium of this game can be obtained by solving a conic linear variational inequality problem.