A misère play $\star$-operator

Abstract

We study the $\star$-operator (Larsson et al. 2011) of impartial vector subtraction games (Golomb 1965). Here we extend the notion to the misère-play convention, and prove convergence and other properties; notably more structure is obtained under misère-play as compared with the normal-play convention (Larsson 2012).

17 pages, 9 figures