Engineering and Economic Applications of Complementarity Problems

This paper gives an extensive documentation of applications of finite-dimensional nonlinear complementarity problems in engineering and equilibrium modeling. For most applications, we describe the problem briefly, state the defining equations of the model, and give functional expressions for the com...

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Bibliographic Details
Published inSIAM review Vol. 39; no. 4; pp. 669 - 713
Main Authors Ferris, M. C., Pang, J. S.
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Society for Industrial and Applied Mathematics 01.12.1997
Subjects
Algorithms
Applied sciences
Commodities
Consumer economics
Economic models
Engineering
Exact sciences and technology
Game theory
Mathematical complements
Mathematical inequalities
Mathematical programming
Mathematical vectors
Mathematics
Matrices
Nash equilibrium
Operational research and scientific management
Operational research. Management science
Variational inequalities
Nash equilibrium
Complementarity problem
Nonlinear problems
Variational inequality
Economic equilibrium
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Summary:This paper gives an extensive documentation of applications of finite-dimensional nonlinear complementarity problems in engineering and equilibrium modeling. For most applications, we describe the problem briefly, state the defining equations of the model, and give functional expressions for the complementarity formulations. The goal of this documentation is threefold: (i) to summarize the essential applications of the nonlinear complementarity problem known to date, (ii) to provide a basis for the continued research on the nonlinear complementarity problem, and (iii) to supply a broad collection of realistic complementarity problems for use in algorithmic experimentation and other studies.
ISSN:0036-1445
1095-7200
DOI:10.1137/s0036144595285963