We consider an equilibrium problem defined on a convex set, whose cost bifunction may not be monotone. We show that this problem can be solved by the inexact partial proximal method with quasi distance. As an application, at the psychological level of behavioral dynamics, this paper shows two points: i) how a dual equilibrium problem offers a model of behavioral trap, “easy enough to reach, difficult enough to leave”, which is both an aspiration point and an equilibrium, and ii) how a succession of aspiration points converges to an equilibrium, using worthwhile changes during the goal pursuit.