Mathematical Programs with Equilibrium Constraints: A Brief Survey of Methods and Optimality Conditions

Ider Tseveendorj ()
Additional contact information
Ider Tseveendorj: University of Versailles

A chapter in Optimization, Simulation, and Control, 2013, pp 49-61 from Springer

Abstract: Abstract This chapter provides a short survey of the research for an important class of constrained optimization problems for which their constraints are defined in part by a variational inequality. Such problems are known as mathematical programs with equilibrium constraints (MPEC). MPEC arise naturally in different areas and play an important role, for example, in the pricing of telecommunication and transportation networks, in economic modeling, in computational mechanics in many other fields of modern optimization, and have been the subject of a number of recent studies. We present a general formulation of MPEC, describe the main characteristics of MPEC, and review the main properties and theoretical results for these problems. The short survey mainly concentrates on the review of the available solution methodology.

Keywords: Mathematical programs; Equilibrium constraints; Variational inequality; Bilevel optimization; Nonconvex optimization; Nondifferentiable optimization (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations: View citations in EconPapers (1)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-5131-0_4

Ordering information: This item can be ordered from
http://www.springer.com/9781461451310

DOI: 10.1007/978-1-4614-5131-0_4

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().