Applications of Minimax Theorem in Optimization Problem with Resources Allocation Constraints

Abstract

In this article, we apply von Neumann's minimax theorem and lopsided minimax theorem of Professor Hoang Tuy to research optimization problem with resources allocation constraints. We show that there exists an activity vector x in set of all activity vector satisfying resources allocation constraints so that the profit at activity vector x* no less than ! whatever sale price q 2 Q may be, ! is a given constant.