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E. Duchene et al investigate games whose sets of allowed moves are subsets of Wythoff's one, and whose set of P-positions is exactly Wythoff's sequence. Their results show that such a game does not exist. In this paper, we find a pair of games, one is the restricted version of the other, such that they have the same set of P-positions. We also find another pair of games, one is the restricted version...
A class of extensions of Small Nim are investigated. Under normal or misére play convention, all P-positions are determined. The structures of P-positions are of algebraic form, which permits to decide in polynomial time whether or not a given game position is a P-position.
Web services (WSs) can cooperate with each other to provide more valuable WSs. Current approaches for WS cooperation have typically assumed that WSs are always willing to participate in some form of cooperation, and have undermined the fact that WSs are autonomous in this open environment. This assumption, however, becomes more problematic in community-based WS cooperation due to the dynamic nature...
A.S. Fraenkel introduces a new (s, t)-Wythoff's game which is the generalization of both a-Wythoff's game and Wythoff's game. Fraenkel determines all P-positions of (s, t)-Wythoff's game under normal play convention. In this paper, the (s, t)-Wythoff's game under the misere play convention is investigated. Both the set of all P-positions and optimal strategies are given. Our results also provide answers...
A.S. Fraenkel introduces a new a-Wythoff's game which is the generalization of Wythoff's game. Fraenkel determines all P-positions of a-Wythoff's game under normal play convention. In this paper, we introduce two new restricted versions of a-Wythoff's game, Odd-Even Wythoff's Game and Odd-Even a-Wythoff's Game. Both new games are investigated. All its P-positions under normal play convention are given,...
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