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arxiv: 1505.01907 · v1 · pith:UG6JBHZWnew · submitted 2015-05-08 · 🧮 math.CO

When waiting moves you in scoring combinatorial games

classification 🧮 math.CO
keywords gamesscoringcombinatorialmovescharacterizationcharacterizedcomparingconway
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Combinatorial Scoring games, with the property `extra pass moves for a player does no harm', are characterized. The characterization involves an order embedding of Conway's Normal-play games. Also, we give a theorem for comparing games with scores (numbers) which extends Ettinger's work on dicot Scoring games.

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