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The Complexity of Robot Games on the Integer Line
Published 31 Jan 2013 in cs.LO and cs.GT | (1301.7700v4)
Abstract: In robot games on Z, two players add integers to a counter. Each player has a finite set from which he picks the integer to add, and the objective of the first player is to let the counter reach 0. We present an exponential-time algorithm for deciding the winner of a robot game given the initial counter value, and prove a matching lower bound.
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