讨论组:算法、复杂性及密码组
标题:Exact algorithms for stochastic games and real algebraic geometry
演讲人: Elias Tsigaridas University
时间: 2011-11-04 14:00-2011-11-04 15:30
地点:FIT 1-222

内容:

Shapley's discounted stochastic games and Everett's recursive games are classical models of game theory describing two-player zero-sum games of potentially infinite duration. We present an exact algorithm for solving such games based on separation bounds from real algebraic geometry. When the number of positions of the game is constant, the algorithm runs in polynomial time and is the first with this property. If time permits, we will also present lower bounds on the algebraic degree of the values of stochastic games, induced from irreducibility of polynomials with coefficients that depend on the combinatorial parameters of the games, based on a generalization of Eisenstein criterion.

Joint work with K.A. Hansen, M. Koucky, N. Lauritzen, and P.B. Miltersen.