A mis\`ere play $\star$-operator
  We study the $\star$-operator (Larsson et al. 2011) of impartial vector subtraction games (Golomb 1965). Here we extend the notion to the mis\`ere-play convention, and prove convergence and other properties; notably more structure is obtained under mis\`ere-play as compared with the normal-play convention (Larsson 2012). 
Matthieu Dufour, Silvia Heubach, Urban Larsson
math.CO