Engineering and economic applications of complementarity problems. (English) Zbl 0891.90158

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.


90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
91B50 General equilibrium theory
91A10 Noncooperative games
70E15 Free motion of a rigid body
49J40 Variational inequalities
91-02 Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance
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