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arXiv · 1006.1410

Playing Muller Games in a Hurry

John Fearnley·Martin Zimmermann
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Abstract

This work studies the following question: can plays in a Muller game be stopped after a finite number of moves and a winner be declared. A criterion to do this is sound if Player 0 wins an infinite-duration Muller game if and only if she wins the finite-duration version. A sound criterion is presented that stops a play after at most 3^n moves, where n is the size of the arena. This improves the bound (n!+1)^n obtained by McNaughton and the bound n!+1 derived from a reduction to parity games.

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John Fearnley, Martin Zimmermann. 2010-06-08. Playing Muller Games in a Hurry. https://doi.org/10.4204/eptcs.25.15

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