Average-Time Games

Marcin Jurdzinski & Ashutosh Trivedi
An average-time game is played on the infinite graph of configurations of a finite timed automaton. The two players, Min and Max, construct an infinite run of the automaton by taking turns to perform a timed transition. Player Min wants to minimize the average time per transition and player Max wants to maximize it. A solution of average-time games is presented using a reduction to average-price game on a finite graph. A direct consequence is...