Hackenforb the chameleon: A game capable of mimicking (practically) any misère game

Abstract

We consider the game Hackenforb, which has been introduced recently and for which it has been shown that it is capable of mimicking a vast spectrum of impartial combinatorial games. We show that it is capable of mimicking any game that has the property that from every position there exists a move to an ending position; for misère play, this amounts to any game in which the players are entitled to resign the game on any move.