Application of Combinatorial Techniques to the Ghanaian Board Game Zaminamina Draft

Authors

  • Elvis Kobina Donkoh University of Energy & Natural Resources Box 214 Sunyani
  • Rebecca Davis
  • Emmanuel D.J Owusu-Ansah
  • Emmanuel A. Antwi
  • Michael Mensah

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i1.3308

Keywords:

, Zaminamina draft, games, combinatorics, player, strategies

Abstract

Games happen to be a part of our contemporary culture and way of life. Often mathematical models of conflict and cooperation between intelligent rational decision-makers are studied in these games. Example is the African board game ’Zaminamina draft’ which is often guided by combinatorial strategies and techniques for winning. In this paper we deduce an intelligent mathematical technique for playing a winning game. Two different starting strategies were formulated; center starting and edge or vertex starting. The results were distorted into a 3x3 matrix and elementary row operations were performed to establish all possible wins. MatLab was used to distort the matrix to determine the diagonal wins. A program was written using python in artificial intelligence (AI) to help in playing optimally

Author Biography

  • Elvis Kobina Donkoh, University of Energy & Natural Resources Box 214 Sunyani

    Mathematics & Statistics

    Lecturer

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Published

2019-01-31

Issue

Vol. 12 No. 1: (January 2019)

Section

Wave Theory

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How to Cite

Application of Combinatorial Techniques to the Ghanaian Board Game Zaminamina Draft. (2019). European Journal of Pure and Applied Mathematics, 12(1), 159-175. https://doi.org/10.29020/nybg.ejpam.v12i1.3308