Lattices of Games |
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Authors: | Michael Henry Albert Richard J Nowakowski |
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Institution: | (1) Department of Economics, W.P. Carey School of Business, Tempe, USA;(2) Institut f?r H?here Studien, Vienna, Austria;(3) Instituto de Analisis Economico, Barcelona, Spain |
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Abstract: | 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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