A new class of generalized multiobjective games in bounded rationality with fuzzy mappings: Structural (λ,ε)-stability and (λ,ε)-robustness to ε-equilibria

In this paper, we introduce a new class of generalized multiobjective games with fuzzy mappings and study the solution existence for this class of games. The model of bounded rationality proposed by Anderlini and Canning (2001) and Miyazaki and Azuma (2013) is applied to a new class of generalized multiobjective games with fuzzy mappings in infinite-dimensional spaces. We introduce a related abstract rationality function for this model using the nonlinear scalarization method and we show that the structural stability (i.e., (λ,ε)-stability) of this model implies its robustness (i.e., (λ,ε)-robustness) to ε-equilibria.