%0 Journal Article
%T Applying Metric Regularity to Compute a Condition Measure of a Smoothing Algorithm for Matrix Games
%A Boris Mordukhovich
%A Javier Pe£ża
%A Vera Roshchina
%J Mathematics
%D 2010
%I arXiv
%X We develop an approach of variational analysis and generalized differentiation to conditioning issues for two-person zero-sum matrix games. Our major results establish precise relationships between a certain condition measure of the smoothing first-order algorithm proposed by Gilpin et al. [Proceedings of the 23rd AAAI Conference (2008) pp. 75-82] and the exact bound of metric regularity for an associated set-valued mapping. In this way we compute the aforementioned condition measure in terms of the initial matrix game data.
%U http://arxiv.org/abs/1007.4458v2