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Infinite Cyclic Impartial Games by Fraenkel, Aviezri S.; Rahat, Ofer is a scholarly article available to read on EtoBox.

What is Infinite Cyclic Impartial Games about?

We define the family of {\it 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.

Author

Fraenkel, Aviezri S.; Rahat, Ofer

Published

1998

Language

EN