BEST PLAY IN FANORONA LEADS TO DRAW

Author:

SCHADD MAARTEN P. D.1,WINANDS MARK H. M.1,UITERWIJK JOS W. H. M.1,HERIK H. JAAP VAN DEN1,BERGSMA MAURICE H. J.1

Affiliation:

1. 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction

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