Article
Article
- Mathematics
- Applied mathematics
- Game theory
Game theory
Article By:
Thompson, Gerald L. Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, Pennsylvania.
Last reviewed:January 2020
DOI:https://doi.org/10.1036/1097-8542.278900
- Games in extensive form
- Games in normalized form
- Classification of games
- Signaling and behavior strategies
- Matrix games
- Solution of examples
- Statistical games
- Nonzero-sum games
- Cooperative solutions
- Simple games
- Continuous games
- Game-playing machines
- Related Primary Literature
- Additional Reading
The theory of games of strategy can briefly be characterized as the application of mathematical analysis to abstract models of conflict situations. The first such models analyzed by the theory were parlor games such as chess, poker, and bridge. Since then, models arising from the behavioral sciences such as economics, sociology, and political science have been analyzed. Game theory is used in or closely connected to other areas such as linear programming, statistical decisions, management science, operations research, and military planning. In certain areas, the language and concepts of the theory are sometimes used even though the corresponding mathematics is not. See also: Linear programming; Operations research
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