Admissibility in Quantitative Graph Games

Guillermo A. Perez
ULB
Friday, 22 April, 2016 - 16:00
NO Solvay (5th floor)
The notion of admissible strategy has been proposed in game theory to formalize rationality of players. It has been studied recently for games of infinite duration with Boolean objectives. In this paper, we extend this study to games of infinite duration with quantitative objectives. First, we show that, under the assumption that optimal worst-case and cooperative strategies exist, admissible strategies are guaranteed to exist. Second, we give a characterization of admissible strategies using the notion of adversarial and cooperative values of a history, and we characterize the set of outcomes that are compatible with admissible strategies. Finally, we show how these characterizations can be used to design algorithms to decide verification and synthesis problems related to the notion of admissible strategy.