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Changes in Representation which Preserve Strategies in Games

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Proceedings of the Second International Joint Conference on Artificial Intelligence. Pages 651--1.

Abstract

One reason for changing the representation of a game is to make it similar to a previously solved one. As a definition of similarity, people have previously often proposed homomorphism-like structures, One such structure, the "s0 -homomorphism", is defined and studied in this paper. It is indicated t hat a useful winning strategy exists for any game in a general class called, "positional games", A set of sufficient condition s is derived which a game has to fulfill to have an s 0 -homomorphism with a positional game, The conditions are exemplified by applying it to a class of games shown by Newell to be representable as tic-tac-toe.

Ranan B. Banerji, and George W. Ernst. 1971. Changes in Representation which Preserve Strategies in Games. In Proceedings of the Second International Joint Conference on Artificial Intelligence, IJCAI-71. IJCAI, 651–-1. https://ijcai.org/proceedings/1971/66
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