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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.
MSC:
90C33Complementarity and equilibrium problems; variational inequalities (finite dimensions)
74K10Rods (beams, columns, shafts, arches, rings, etc.) in solid mechanics
91B50General equilibrium theory in economics
91A10Noncooperative games
70E15Free motion of a rigid body
49J40Variational methods including variational inequalities
91-02Research exposition (Social and behavioral sciences)