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arXiv · 1007.4458

Applying Metric Regularity to Compute a Condition Measure of a Smoothing Algorithm for Matrix Games

Boris Mordukhovich·Javier Peña·Vera Roshchina
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Abstract

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.

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Boris Mordukhovich, Javier Peña, Vera Roshchina. 2010-07-26. Applying Metric Regularity to Compute a Condition Measure of a Smoothing Algorithm for Matrix Games. https://arxiv.org/abs/1007.4458

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