Some Chip Transfer Games

Abstract Proposed and investigated are four impartial combinatorial games: Empty & Transfer, Empty-All-But-One, Empty & Redistribute, and Entropy Reduction. These games involve discarding chips from some boxes and transferring chips from one box to another. Empty & Transfer and Entropy Reduction are solved only for a small number of boxes. Empty-All-But-One, Empty and Redistribute and Entropy Reduction are solved in both normal and misere forms. The Sprague-Grundy function for Empty & Transfer is found in the two box case.