Inverse Complementarity in a Resource Deficit Model

摘要

The concept of inverse complementarity for a parametric family of optimization problemsis introduced. This concept is an effective tool for solving complicated applied problems arising in socio-economic systems. As an example, a nonlinear resource deficit model is constructed in which the equi-librium is characterized by an external market value of resources coinciding with internal objectivelydetermined resource estimates. An extraproximal method is proposed for computing an equilibriumsolution. The convergence of the method is proved.