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.
In classical game theory, players move, bet, or strategize simultaneously. Both hidden information and chance elements are frequent features in this branch of game theory, which is also a branch of economics.
The Season 1 episode "Dirty Bomb " (2005) of the television crime drama NUMB3RS
See also 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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and Guy, R. K. Winning
Ways for Your Mathematical Plays, Vol. 1: Adding Games, 2nd ed. Berlekamp, E. R.; Conway, J. H; and Guy,
R. K. Winning
Ways for Your Mathematical Plays, Vol. 2: Games in Particular. Conway, J. H. On
Numbers and Games, 2nd ed. Dresher,
M. The
Mathematics of Games of Strategy: Theory and Applications. Eppstein, D. "Combinatorial Game Theory." http://www.ics.uci.edu/~eppstein/cgt/ . Gardner,
M. "Game Theory, Guess It, Foxholes." Ch. 3 in Mathematical
Magic Show: More Puzzles, Games, Diversions, Illusions and Other Mathematical Sleight-of-Mind
from Scientific American. Gardner,
R. Games
for Business and Economics. Isaacs, R.
Differential
Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and
Optimization. Karlin, S. Mathematical
Methods and Theory in Games, Programming, and Economics, 2 Vols. Vol. 1: Matrix
Games, Programming, and Mathematical Economics. Vol. 2: The Theory of Infinite
Games. Kuhn, H. W. (Ed.). Classics
in Game Theory. McKinsey,
J. C. C. Introduction
to the Theory of Games. Mérö,
L. Moral
Calculations: Game Theory, Logic and Human Frailty. Neumann, J. von and Morgenstern, O. Theory
of Games and Economic Behavior, 3rd ed. Packel,
E. The
Mathematics of Games and Gambling, 2nd ed. Stahl, S. A
Gentle Introduction to Game Theory. Straffin,
P. D. Jr. Game
Theory and Strategy. Vajda,
S. Mathematical
Games and How to Play Them. Walker,
P. "An Outline of the History of Game Theory." http://www.econ.canterbury.ac.nz/personal_pages/paul_walker/gt/hist.htm . Weisstein,
E. W. "Books about Game Theory." http://www.ericweisstein.com/encyclopedias/books/GameTheory.html . Williams,
J. D. The
Compleat Strategyst, Being a Primer on the Theory of Games of Strategy. Referenced on Wolfram|Alpha Game Theory
Cite this as:
Weisstein, Eric W. "Game Theory." From
MathWorld https://mathworld.wolfram.com/GameTheory.html
Subject classifications
