A criterion based on the Hausdorff dimension of the target set determines the winner in alternating-move win-lose games on trees, generalizing prior results on Schmidt games to arbitrary complete metric spaces.
Baek (2009) Dimensionally invariant spaces, Journal of the Chungcheong Mathematical Society, volume 22 no
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Determining the Winner in Alternating-Move Games
A criterion based on the Hausdorff dimension of the target set determines the winner in alternating-move win-lose games on trees, generalizing prior results on Schmidt games to arbitrary complete metric spaces.