Math @ Duke

Publications [#199129] of Ezra N Miller
Papers Accepted
 with Alan Guo, Algorithms for lattice games,
International Journal of Game Theory, vol. 42 no. 4
(2013),
pp. 777788 [math.CO/1105.5413], [DOI:10.1007/s0018201203199]
(last updated on 2013/12/19)
Abstract: This paper provides effective methods for the polyhedral formulation of impartial finite combinatorial games as lattice games. Given a rational strategy for a lattice game, a polynomial time algorithm is presented to decide (i) whether a given position is a winning position, and to find a move to a winning position, if not; and (ii) to decide whether two given positions are congruent, in the sense of misÃ¨re quotient theory. The methods are based on the theory of short rational generating functions.


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