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Lattices of Games
Journal article   Peer reviewed

Lattices of Games

Michael Henry Albert and Richard J. Nowakowski
Order (Dordrecht), Vol.29(1), pp.75-84
01/03/2012

Abstract

Mathematics Physical Sciences Science & Technology
We show that, for any set S of combinatorial games, the set of games all of whose immediate options belong to S forms a complete lattice. If every option of a game in S also lies in S, then this lattice is completely distributive.

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