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Dynamic Games and Applications Seminar

Zero-Sum Stochastic Games over the Field of Real Algebraic Numbers


Apr 7, 2022   11:00 AM — 12:00 PM

Konstantin Avrachenkov INRIA, France

Konstantin Avratchenkov

Presentation on YouTube

We consider a finite state, finite action, zero-sum stochastic games with data defining the game lying in the ordered field of real algebraic numbers. In both the discounted and the limiting average versions of these games, we prove that the value vector also lies in the same field of real algebraic numbers. In the case where the data of the game are rational, the method also provides a way of checking whether the entries of the value vectors are also rational.

(with V. Ejov, J.A. Filar and A. Moghaddam).

Georges Zaccour organizer
Jafar Chaab organizer
Mahsa Mahboob Ghodsi organizer


Online meeting
Montréal Québec

Associated organization

Research Axis