Abstract
Given combinatorial games G and H, define a new game G→ H to be the game played by two players who alternately make moves of game G until G is exhausted and then proceed to game H. As usual, the player who has no move (in H) loses. Misère games are a special case of this construction. We explore the theory of these sequential compounds and determine the outcomes and Grundy values of certain games of this form.
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