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Abstract: We study variations on combinatorial games in which, instead of alternatingmoves, the players bid with discrete bidding chips for the right to determinewho moves next. We consider both symmetric and partisan games, and exploredifferences between discrete bidding games and Richman games, which allowreal-valued bidding. Unlike Richman games, discrete bidding game variations ofmany familiar games, such as chess, Connect Four, and even Tic-Tac-Toe, aresuitable for recreational play. We also present an analysis of Tic-Tac-Toe forboth discrete and real-valued bidding.

Author: Mike Develin, Sam Payne

Source: https://arxiv.org/

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