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Best Play In Fanorona Leads To Draw

Author

Listed:
  • 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)

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.

Suggested Citation

  • Maarten P. D. Schadd & Mark H. M. Winands & Jos W. H. M. Uiterwijk & H. Jaap Van Den Herik & Maurice H. J. Bergsma, 2008. "Best Play In Fanorona Leads To Draw," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 4(03), pages 369-387.
    • Handle: RePEc:wsi:nmncxx:v:04:y:2008:i:03:n:s1793005708001124
    DOI: 10.1142/S1793005708001124
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