Models of Combinatorial Games and Some Applications: A Survey
Essam El-Seidy, S.E.S. Hussein, Awad Talal Alabdala · Journal of Game Theory · 2016
Combinatorial game theory is a vast subject. Over the past forty years it has grown to encompass a wide range of games. All of those examples were short games, which have finite sub-positions and which prohibit infinite play. The combinatorial theory of short games is essential to the subject and will cover half the material in this paper. This paper gives the reader a detailed outlook to most combinatorial games, researched until our current date. It also discusses different approaches to dealing with the games from an algebraic perspective.