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Best Play In Fanorona Leads To Draw

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  • MAARTEN P. D. SCHADD

    ()
    (MICC-IKAT Games and AI Group, Faculty of Humanities and Sciences, Universiteit Maastricht, P.O. Box 616, 6200 MD Maastricht, The Netherlands)

  • MARK H. M. WINANDS

    ()
    (MICC-IKAT Games and AI Group, Faculty of Humanities and Sciences, Universiteit Maastricht, P.O. Box 616, 6200 MD Maastricht, The Netherlands)

  • JOS W. H. M. UITERWIJK

    ()
    (MICC-IKAT Games and AI Group, Faculty of Humanities and Sciences, Universiteit Maastricht, P.O. Box 616, 6200 MD Maastricht, The Netherlands)

  • H. JAAP VAN DEN HERIK

    ()
    (MICC-IKAT Games and AI Group, Faculty of Humanities and Sciences, Universiteit Maastricht, P.O. Box 616, 6200 MD Maastricht, The Netherlands)

  • MAURICE H. J. BERGSMA

    ()
    (MICC-IKAT Games and AI Group, Faculty of Humanities and Sciences, Universiteit Maastricht, P.O. Box 616, 6200 MD Maastricht, The Netherlands)

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    Abstract

    Fanorona is the national board game of Madagascar. The game's complexity is approximately the same as that of checkers. In this article, we present a search-based approach for weakly solving this game. It is a well-chosen combination of Proof-Number search and endgame databases. Retrograde analysis is used to generate the endgame databases in which every position with 7 or fewer pieces on the board has been solved. Then, a Proof-Number search variant, PN2, exploits the databases to prove that the game-theoretical value of the initial position is a draw. Future research should develop techniques for strongly solving the game.

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal New Mathematics and Natural Computation.

    Volume (Year): 04 (2008)
    Issue (Month): 03 ()
    Pages: 369-387

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    Handle: RePEc:wsi:nmncxx:v:04:y:2008:i:03:p:369-387

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    Related research

    Keywords: Fanorona; proof-number search; endgame databases;

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