Variational rationality, variational principles and the existence of traps in a changing environment

This paper has two aspects. Mathematically, in the context of global optimization, it provides existence an optimum a perturbed optimization problem that generalizes celebrated Ekeland variational principle and equivalent formulations (Caristi, Takahashi), whenever perturbations need not satisfy triangle inequality. Behaviorally, is continuation recent rationality approach stay (stop) change (go) human dynamics. It gives sufficient conditions for traps changing environment. In this way emphasizes even more striking correspondence between analysis mathematics psychology behavioral sciences.