Combinatorial game theory

Combinatorial game theory studies mathematical models of two-player games with perfect information, where players take turns making moves from finite, well-defined sets. It aims to analyze the structure of such games, determine winning strategies, and predict outcomes without chance or hidden information. By examining the positions and possible moves systematically, the theory provides methods to solve or classify games, helping understand optimal play and the underlying logic. Examples include chess endgames or mathematical puzzles, where the goal is to identify moves leading to victory or draw based on the current position.