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In this paper, we study an inexact steepest descent method, with Armijo'srule, for multicriteria optimization. The sequence generated by the method isguaranteed to be well-defined. Assuming quasi-convexity of the multicriteriafunction we prove full convergence of the sequence to a critical Pareto point.As an application, this paper offers a model of self regulation in Psychology,using a recent variational rationality approach.

The self regulation problem as an inexact steepest descent method for multicriteria optimization