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Optimization Under Equilibrium Constraints

In: Convex Analysis and Global Optimization

Author

Listed:
  • Hoang Tuy

    (Institute of Mathematics)

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.

Suggested Citation

  • Hoang Tuy, 2016. "Optimization Under Equilibrium Constraints," Springer Optimization and Its Applications, in: Convex Analysis and Global Optimization, edition 2, chapter 0, pages 453-487, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-31484-6_13
    DOI: 10.1007/978-3-319-31484-6_13
    as

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