Abstract
The paper presents the characteristics of combinatorial games, which represent a special class in mathematical game theory. The main elements of these games are defined, and the basic classification is provided. Additionally, various examples of these games are discussed, along with different methods of analyzing positions and strategies in the game.
References
[1] T. S. Ferguson, "A Course in Game Theory," World Scientific, 2020.
[2] A. R. Karlin, Y. Peres, "Game Theory, Alive," American Mathematical Society, vol. 101, 2016.
[3] E. R. Berlekamp, J. H. Conway, R. K. Guy, "Winning ways for your mathematical plays," AK Peters/CRC Press, vol.4, 2004.
[4] C. Browne, "Hex Strategy: Making the right connections," AK Peters/CRC Press, 2009.
[5] Kimberly Wood, "Switching the Shannon switching game," Bard College, 2012.