Optimization Under Equilibrium Constraints

Hoang Tuy
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Hoang Tuy: Institute of Mathematics

Chapter Chapter 13 in Convex Analysis and Global Optimization, 2016, pp 453-487 from Springer

Abstract: Abstract An important class of optimization problems has constraints of a particular type called equilibrium constraints which arise from many applications in natural sciences, engineering, and economics. Up to recently most methods developed for solving these problems have been essentially local optimization methods. Few methods have been concerned with finding a global optimal solution. This chapter presents a global optimality approach to this class of problems in the most important special cases that include: bilevel programming, optimization over the efficient set, and optimization with variational inequality constraint.

Keywords: Equilibrium Constraints; Variational Inequalities (VI); Monotonic Optimization Problem; Convex Bilevel Program (CBP); Linear Bilevel Program (LBP) (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-31484-6_13

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