Quadratically optimal equilibrium points of weakly potential bi-matrix games

S. Lahiri
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Abstract

In this paper we show without using any fixed-point theorem argument, the existence of quadratically optimal equilibrium points of weakly potential bi-matrix games and quadratically optimal symmetric equilibrium points for those weakly potential square bi-matrix games which have potential matrices that are two-way matrices. The existence results are obtained as an optimal solution of a quadratic programming problem and hence constitute a refinement of the usual solution concepts for the subclass of games we consider.
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弱势双矩阵对策的二次最优平衡点
本文在不使用任何不动点定理的前提下,证明了弱势双矩阵对策的二次最优平衡点的存在性,以及具有双向矩阵的势矩阵的弱势方形双矩阵对策的二次最优对称平衡点的存在性。存在性结果作为二次规划问题的最优解得到,因此构成了我们所考虑的对策子类的通常解概念的改进。
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