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Displaying similar documents to “Biased positional games and small hypergraphs with large covers.”

Carcassonne -- description of the game

Kárná, Lucie

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This article formalizes some aspects of the board game Carcassonne. Combinatorical problems related to the number of tile types are mentioned. Then the paper describes a game map using graph theory.

Discrepancy games.

Alon, Noga, Krivelevich, Michael, Spencer, Joel, Szabó, Tibor (2005)

The Electronic Journal of Combinatorics [electronic only]

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Permissive strategies : from parity games to safety games

Julien Bernet, David Janin, Igor Walukiewicz (2002)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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It is proposed to compare strategies in a parity game by comparing the sets of behaviours they allow. For such a game, there may be no winning strategy that encompasses all the behaviours of all winning strategies. It is shown, however, that there always exists a permissive strategy that encompasses all the behaviours of all memoryless strategies. An algorithm for finding such a permissive strategy is presented. Its complexity matches currently known upper bounds for the simpler problem...