Page No. : 582-602

This study focuses on combinatorial game theory, which investigates the numerous combinatorial games and the winning formulae for each of them. Combinatorial game theory takes centre stage in this research. In this paper, game structures, optimum tactics, and victory conditions are analysed with the use of mathematical methods derived from graph theory and combinatorics. This research makes a significant contribution to a more in-depth knowledge of the mathematical principles that regulate the dynamics of combinatorial games. These discoveries have the potential to be used in the areas of game design and algorithmic decision-making.