Game theory is a branch of mathematics that deals with the analysis of games (i.e., situations involving parties with conflicting interests). In addition to the mathematical elegance and complete "solution" which is possible for simple games, the principles of game theory also find applications to complicated games such as cards, checkers, and chess, as well as real-world problems as diverse as economics, property division, politics, and warfare. Game theory has two distinct branches: combinatorial game theory and classical game theory. Combinatorial game theory covers two-player games of perfect knowledge such as go, chess, or checkers. Notably, combinatorial games have no chance element, and players take turns.
Borel determinacy theorem | categorical game | checkers | chess | combinatorial game theory | decision theory | finite game | futile game | game expectation | game saddle point | go | impartial game | mex | minimax theorem | mixed strategy | Nash equilibrium | Nash's theorem | nim | nim-value | partisan game | payoff matrix | peg solitaire | perfect information | safe | strategy | tit-for-tat | unsafe | value | Wythoff's game | zero-sum game
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