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| HAL : hal-00372006, version 2 |
| arXiv : 0904.0070 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (01-04-2009) | v2 (06-04-2009) |
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| Transposition game |
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| Elise Janvresse 1Steve Kalikow 2 |
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| (2009) |
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| We introduce a two-player game, in which each player extends a given sequence by picking a free element in a domain D of the real line. The aim of the players is to control the parity of the number of transpositions necessary to put the final sequence in order. We will see that the winner can be the last player, the second last player, the first player, the second player, the person who wants the parity to end up even or the person who wants the parity to end up odd. A special case of the game can be reduced to a game with nontrivial winning strategy, but describable in so simple a way that children can understand it and enjoy playing it. |
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| 1 : | Laboratoire de Mathématiques Raphaël Salem (LMRS) |
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CNRS : UMR6085 – Université de Rouen |
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| 2 : | Department of Mathematics |
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University of Memphis |
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| Domaine | : | Mathématiques/Combinatoire |
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| 2-person game – parity of a permutation |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00372006, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00372006 | |
| oai:hal.archives-ouvertes.fr:hal-00372006 | |
| Contributeur : Elise Janvresse | |
| Soumis le : Lundi 6 Avril 2009, 09:42:45 | |
| Dernière modification le : Lundi 6 Avril 2009, 10:11:22 | |
