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New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis
SIAM Journal on Optimization
In this paper, we study the mathematical program with equilibrium constraints (MPEC) formulated as a mathematical program with a parametric generalized equation involving the regular normal cone. Compared with the usual way of formulating MPEC through a KKT condition, this formulation has the advantage that it does not involve extra multipliers as new variables, and it usually requires weaker assumptions on the problem data. Using the so-called first order sufficient condition for metricdoi:10.1137/16m1088752 fatcat:l7yt7upayfhkbhxzau4ekl5gv4