Complementarity, equilibrium, efficiency and economics

zbMath1081.90001MaRDI QIDQ1847141

Vyacheslav V. Kalashnikov, George Isac, Vladimir A. Bulavsky

Publication date: 17 November 2002

Published in: Nonconvex Optimization and Its Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Multi-objective and goal programming (90C29) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Research exposition (monographs, survey articles) pertaining to game theory, economics, and finance (91-02) Other game-theoretic models (91A40) General equilibrium theory (91B50) Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming (90-02)

Related Items

Exceptional family and solvability of the second-order cone complementarity problems ⋮ Solutions of parametric complementarity problems monotone with respect to parameters ⋮ Duality of implicit complementarity problems by using inversions and scalar derivatives ⋮ Special issue on variational inequalities: consistent conjectural variations coincide with the Nash solution in the meta-model ⋮ Exceptional family of elements for general order complementarity problems ⋮ An approximate solution to the fixed point problems for an infinite family of asymptotically strictly pseudocontractive mappings in the intermediate sense, cocoercive quasivariational inclusions problems and mixed equilibrium problems in Hilbert spaces ⋮ Human migration networks and policy interventions: bringing population distributions in line with system optimization ⋮ Viscosity iterative schemes for finding split common solutions of variational inequalities and fixed point problems ⋮ Finding Equilibrium in a Financial Model by Solving a Variational Inequality Problem ⋮ Dynamics of vaccination strategies via projected dynamical systems ⋮ On scalarization of vector optimization type problems ⋮ System of generalized variational-like inclusions involving \((P,\eta)\)-accretive mapping and fixed point problems in real Banach spaces ⋮ Games with linear conjectures about system parameters ⋮ Unnamed Item ⋮ Algorithms for general system of generalized resolvent equations with corresponding system of variational inclusions ⋮ Applications of an HIDS theorem to the existence of fixed point, abstract equilibria and optimization problems ⋮ Survey on vector complementarity problems ⋮ Extended mixed vector equilibrium problems ⋮ An extension of gap functions for a system of vector equilibrium problems with applications to optimization problems ⋮ Gap functions for a system of generalized vector quasi-equilibrium problems with set-valued mappings ⋮ Completely generalized multivalued nonlinear co-quasi-variational-Like inclusions ⋮ Gap functions and existence of solutions for a system of vector equilibrium problems ⋮ Evolution variational inequalities and projected dynamical systems with application to human migration ⋮ Numerical experimentation with a human migration model ⋮ Existence of solutions for \(\eta \)-generalized vector variational-like inequalities ⋮ Penalization and regularization for multivalued pseudo-monotone variational inequalities with Mosco approximation on constraint sets ⋮ Vector optimization problems with nonconvex preferences ⋮ Chebyshev scalarization of solutions to the vector equilibrium problems ⋮ Mixed oligopoly with consistent conjectures ⋮ Hybrid inclusion and disclusion systems with applications to equilibria and parametric optimization ⋮ Generalized vector complementarity-type problems in topological vector spaces ⋮ Mean Value Theorems for the Scalar Derivative and Applications ⋮ Nonlinear Problems in Mathematical Programming and Optimal Control ⋮ Refugee migration networks and regulations: a multiclass, multipath variational inequality framework ⋮ Cournot and Stackelberg equilibrium in mixed duopoly models ⋮ International human migration networks under regulations ⋮ Extended antipodal theorems ⋮ Solvability of implicit complementarity problems ⋮ Generalized vector \(F\)-variational inequalities and vectorf-complementarity problems for point-to-set mappings ⋮ Conjectural variations equilibrium in a mixed duopoly ⋮ An existence theorem for nonlinear complementarity problems ⋮ Modulability and duality of certain cones in pluripotential theory ⋮ Existence of solutions of vector variational inequalities and vector complementarity problems ⋮ Even in simple economic systems, equilibrium can be non-unique: an example ⋮ Duality in multivalued complementarity theory by using inversions and scalar derivatives ⋮ Complementarity problems with respect to Loewnerian cones ⋮ Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces ⋮ Generalized variational inclusions and generalized resolvent equations in Banach spaces