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cs.GT2017
A Short Solution to the Many-Player Silent Duel with Arbitrary Consolation Prize
Steve Alpern, J. V. Howard
The classical constant-sum 'silent duel' game had two antagonistic marksmen walking towards each other. A more friendly formulation has two equally skilled marksmen approaching tar…
math.OC2017★ 1 cited
Periodic Patrols on the Line and Other Networks
Steve Alpern, Thomas Lidbetter, Katerina Papadaki
We consider a patrolling game on a graph recently introduced by Alpern et al. (2011) where the Patroller wins if he is at the attacked node while the attack is taking place. This p…