Abadie-Type Constraint Qualification for Mathematical Programs with Equilibrium Constraints

M.L. Flegel and C. Kanzow
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M.L. Flegel: University of Würzburg
C. Kanzow: University of Würzburg

Journal of Optimization Theory and Applications, 2005, vol. 124, issue 3, No 4, 595-614

Abstract: Abstract Mathematical programs with equilibrium constraints (MPEC) are nonlinear programs which do not satisfy any of the common constraint qualifications (CQ). In order to obtain first-order optimality conditions, constraint qualifications tailored to the MPECs have been developed and researched in the past. In this paper, we introduce a new Abadie-type constraint qualification for MPECs. We investigate sufficient conditions for this new CQ, discuss its relationship to several existing MPEC constraint qualifications, and introduce a new Slater-type constraint qualifications. Finally, we prove a new stationarity concept to be a necessary optimality condition under our new Abadie-type CQ.

Keywords: Mathematical programs with equilibrium constraints; Abadie constraint qualification; Slater constraint qualification; optimality conditions (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (15)

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DOI: 10.1007/s10957-004-1176-x

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