在己知不确定参数变化的范围下,研究了非合作博弈与广义非合作博弈的强Berge均衡的存在性,基于强Berge均衡与不确定性下非合作博弈的强Nash均衡的概念,给出了不确定参数下非合作博弈与广义非合作博弈的强Berge均衡的定义,并利用Fan—Glicksberg不动点定理证明其存在性,最后用算例验证其可行性.
Under the assumption that the domain of the undetermined parameters is known, the existence of strong Berge equilibrium for nonocooperative games and generalized non-cooperative games are investigated. Based on the concept of strong Berge equilibrium and NS-equilibrium for non-cooperative games under uncertainty, the notions of strong Berge equilibrium for non-cooperative games and generalized non-cooperative games under uncertainty are defined. Further, the existence of the equilibrium for noncooperative games and generalized non-cooperative games are proved by using Fan- Glicksberg fixed point theorem. Finally, a numeric example illustrates the feasibility of the ProPosed method.