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Computing Proper Equilibria of Zero-Sum Games

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4630))

Abstract

We show that a proper equilibrium of a matrix game can be found in polynomial time by solving a linear (in the number of pure strategies of the two players) number of linear programs of roughly the same dimensions as the standard linear programs describing the Nash equilibria of the game.

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H. Jaap van den Herik Paolo Ciancarini H. H. L. M. (Jeroen) Donkers

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© 2007 Springer-Verlag Berlin Heidelberg

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Miltersen, P.B., Sørensen, T.B. (2007). Computing Proper Equilibria of Zero-Sum Games. In: van den Herik, H.J., Ciancarini, P., Donkers, H.H.L.M.(. (eds) Computers and Games. CG 2006. Lecture Notes in Computer Science, vol 4630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75538-8_18

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  • DOI: https://doi.org/10.1007/978-3-540-75538-8_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75537-1

  • Online ISBN: 978-3-540-75538-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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