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Mathematical programming with equilibrium constraints MPEC
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Mathematical programming with equilibrium constraints (MPEC) is the study of constrained optimization problems where the constraints include variational inequalities or complementarities. MPEC is related to the Stackelberg game. MPEC is used in the study of engineering design, economic equilibrium, and . MPEC is difficult to deal with because its feasible region is not necessarily convex or even connected. MPECs (Mathematical Programs with Equilibrium Constraints), zu deutsch etwa 'Mathematische Optimierungsprobleme mit Gleichgewichtsnebenbedingungen', stellen eine spezielle Problemklasse der mathematischen Optimierung dar. MPECs sind eng verwandt mit Optimalsteuerungsproblemen und zeichnen sich dadurch aus, dass die essentiellen Nebenbedingungen in Form einer Variationsungleichung oder eines äquivalenten Komplementaritätssystems formuliert sind. Zahlreiche Anwendungen finden sich in der Ingenieurswelt oder in der Wirtschaft, wie etwa in der Robotik, in der Spieltheorie oder in der Berechnung von Optionen.
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MPECs (Mathematical Programs with Equilibrium Constraints), zu deutsch etwa 'Mathematische Optimierungsprobleme mit Gleichgewichtsnebenbedingungen', stellen eine spezielle Problemklasse der mathematischen Optimierung dar. MPECs sind eng verwandt mit Optimalsteuerungsproblemen und zeichnen sich dadurch aus, dass die essentiellen Nebenbedingungen in Form einer Variationsungleichung oder eines äquivalenten Komplementaritätssystems formuliert sind. Zahlreiche Anwendungen finden sich in der Ingenieurswelt oder in der Wirtschaft, wie etwa in der Robotik, in der Spieltheorie oder in der Berechnung von Optionen. Mathematical programming with equilibrium constraints (MPEC) is the study of constrained optimization problems where the constraints include variational inequalities or complementarities. MPEC is related to the Stackelberg game. MPEC is used in the study of engineering design, economic equilibrium, and . MPEC is difficult to deal with because its feasible region is not necessarily convex or even connected.
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