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
Highlights
A game is any activity that involves different players who aim at satisfying their desire to win with set rules and principles guiding it
The zaminimina board game is played for fun, it can be the very basis for kids to embrace mathematical knowledge and strong logical foundation when clearly defined and modeled with mathematics
In the situation whereby the player is blocked from winning either from the center starting and edge or vertex starting, the game ends in a tie which is called a mixed strategy for both players
Summary
A game is any activity that involves different players who aim at satisfying their desire to win with set rules and principles guiding it It include indigenous Ghanaian games like ampe, pampanaa, oware, pempenaa,pi lolo, alikoto, zanzama, sansankroma, kyemper, Adwoa Ata and many others[1]. These traditional games, in past times were held in high esteem by both the aged and the young in our society. The zaminimina board game is played for fun, it can be the very basis for kids to embrace mathematical knowledge and strong logical foundation when clearly defined and modeled with mathematics. It is on these grounds that this research was conducted to unveil the mathematical concepts behind the game
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