Mathematical Sciences: Variational Inequalities in Equilibrium Analysis

本项目涉及变分不等式理论在运筹学和社会科学中出现的平衡问题中的应用。该计划的目标是证明变分不等式为平衡的定性研究和计算提供了自然和统一的框架。本研究包括摄动解的存在性、唯一性和敏感性问题。

This project concerns the application of the theory of variational inequalities in equilibrium problems arising in operations research and the social sciences. The goal of the program is to demonstrate that variational inequalities provide the natural and unifying framework for the qualitative study and computation of equilibria. Included in this study are questions of existence, uniqueness and sensitivity of solutions to perturbations.