Parity Game

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Details

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A parity game is played on a (countable) colored directed graph, where each node has been colored by a priority - one of (usually) finitely many natural numbers. Two players, 0 and 1, take turns moving a token along the edges of the graph, resulting in a (possibly infinite) path, called the play. The winner of a finite play is the player whose opponent is unable to move. The winner of an infinite play is determined by the priorities appearing in the play. Typically, player 0 wins an infinite play if the smallest priority that occurs infinitely often in the play is even. Player 1 wins otherwise. This explains the word "parity" in the title. Parity games lie in the third level of the borel hierarchy, and are consequently determined.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131263125
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131263125
    • Format Fachbuch
    • Titel Parity Game
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 84
    • Genre Mathematik

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