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Games with guaranteed scores and waiting moves
Authors:Urban Larsson  Richard J Nowakowski  Carlos P Santos
Institution:1.Dalhousie University,Halifax,Canada;2.Center for Functional Analysis, Linear Structures and Applications,University of Lisbon,Lisbon,Portugal
Abstract:Combinatorial scoring games, with the property ‘extra pass moves for a player will do him no harm’, are characterized. The characterization involves an order embedding of Conway’s normal play games, and we call our class the universe of Guaranteed scoring games. Also, we give a theorem for comparing guaranteed games with scores (numbers) which extends Ettinger’s work on Dicot scoring games.
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