A Retrograde Approximation Algorithm for Two-Player Can’t Stop
نویسندگان
چکیده
A two-player, finite, probabilistic game with perfect information can be presented as a four-partite graph. For Can’t Stop, the graph is cyclic and the challenge is to determine the game-theoretical values of the positions in the cycles. In a previous paper we have presented our success on tackling one-player Can’t Stop. In this paper we prove the existence and uniqueness of the solution to two-player Can’t Stop, and present a retrograde approximation algorithm to solve it by incorporating the 2-dimensional Newton’s method with retrograde analysis. We give results of small versions of two-player Can’t Stop.
منابع مشابه
A Retrograde Approximation Algorithm for Multi-player Can't Stop
An n-player, finite, probabilistic game with perfect information can be presented as a 2n-partite graph. For Can’t Stop, the graph is cyclic and the challenge is to determine the game-theoretical values of the positions in the cycles. We have presented our success on tackling one-player Can’t Stop and two-player Can’t Stop. In this article we study the computational solution of multi-player Can...
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A one-player, finite, probabilistic game with perfect information can be presented as a bipartite graph. For one-player Can’t Stop, the graph is cyclic and the challenge is to determine the game-theoretical values of the positions in the cycles. In this article we prove the existence and uniqueness of the solution to one-player Can’t Stop, and give an efficient approximation algorithm to solve ...
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