Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, April 19, 2007, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Rahul Savani (Department of Computer Science, Univ. of Warwick, UK)

From discounted payoff games to P-matrix linear complementarity problems

We present discounted payoff games, which are one of a number of two-player zero-sum games of infinite duration played on finite graphs that have the property that the natural associated decision problem is in NP and coNP, yet no polynomial-time algorithms are known. We then present the P-matrix linear complementarity problem (LCP), for which the existence of a polynomial-time algorithm is also a major open problem. LCPs generalize LPs and the bimatrix game equilibrium problem. Finally, we present a simple reduction from discounted payoff games to P-matrix LCPs.

Joint work with Hugo Gimbert and Marcin Jurdziński.

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