Set-theoretic inequalities in stochastic noncooperative games with coalition.
Dshalalow, Jewgeni H., Treerattrakoon, Ailada (2008)
Journal of Inequalities and Applications [electronic only]
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Dshalalow, Jewgeni H., Treerattrakoon, Ailada (2008)
Journal of Inequalities and Applications [electronic only]
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Larsson, Urban (2011)
The Electronic Journal of Combinatorics [electronic only]
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Eric Duchêne, Michel Rigo (2008)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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We propose a variation of Wythoff’s game on three piles of tokens, in the sense that the losing positions can be derived from the Tribonacci word instead of the Fibonacci word for the two piles game. Thanks to the corresponding exotic numeration system built on the Tribonacci sequence, deciding whether a game position is losing or not can be computed in polynomial time.
Paterson, Maura B., Stinson, Douglas R. (2010)
The Electronic Journal of Combinatorics [electronic only]
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Fraenkel, Aviezri S. (2004)
Integers
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Jean-Michel Coulomb (1997)
ESAIM: Probability and Statistics
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Rafael Amer, José Miguel Giménez (2009)
RAIRO - Operations Research
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Two games are inseparable by semivalues if both games obtain the same allocation whatever semivalue is considered. The problem of separability by semivalues reduces to separability from the null game. For four or more players, the vector subspace of games inseparable from the null game by semivalues contains games different to zero-game. Now, for five or more players, the consideration of a priori coalition blocks in the player set allows us to reduce in a significant way the dimension...
V. Aggarwal, K. P. K. Nair, R. Chandrasekaran (1980)
RAIRO - Operations Research - Recherche Opérationnelle
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Xu, Jiuping, Yao, Liming (2010)
International Journal of Mathematics and Mathematical Sciences
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