Publications [#220839] of Ezra Miller

Papers Published

1. with Alan Guo, Algorithms for lattice games, International Journal of Game Theory, vol. 42 no. 4 (2013), pp. 777-788 [math.CO/1105.5413], [DOI:10.1007/s00182-012-0319-9]
   (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 misère quotient theory. The methods are based on the theory of short rational generating functions.