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This paper focuses on the study of a mathematical program with equilibriumconstraints, where the objective and the constraint functions are allpolynomials. We present a method for finding its global minimizers and globalminimum using a hierarchy of semidefinite programming (SDP) relaxations andprove the convergence result for the method. Numerical experiments arepresented to show the efficiency of the proposed algorithm.

Polynomial mathematical programs with equilibrium constraints and semidefinite programming relaxations