Infinite Cyclic Impartial Games
نویسندگان
چکیده
We define the family of locally path-bounded digraphs, which is a class of infinite digraphs, and show that on this class it is relatively easy to compute an optimal strategy (winning or nonlosing); and realize a win, when possible, in a finite number of moves. This is done by proving that the Generalized Sprague-Grundy function exists uniquely and has finite values on this class.
منابع مشابه
On Flatness and Tameness of Classes of Impartial Games
For analyzing impartial games played in the misère rule, Yamasaki defined flatness of games, while Conway defined tameness. In this paper, we prove that these two concepts are equivalent.
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