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Blotto Game


The Blotto game, also called the Colonel Blotto game, is a simultaneous two-player game in which each player allocates a fixed quantity of resources among several battlefields. A player wins a battlefield by assigning more resources to it than the opponent, and the payoff is determined by the values of the battlefields won.

The game was formulated by Borel (1921). Its continuous version and many variants model strategic allocation problems in economics, politics, and military planning.


See also

Game Theory, Strategy, Zero-Sum Game

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References

Borel, E. "La théorie du jeu et les équations intégrales à noyau symétrique." C. R. Acad. Sci. Paris 173, 1304-1308, 1921.Gross, O. and Wagner, R. A Continuous Colonel Blotto Game. Santa Monica, CA: RAND Corporation, Research Memorandum RM-408, 1950.Roberson, B. "The Colonel Blotto Game." Econ. Theory 29, 1-24, 2006. https://doi.org/10.1007/s00199-005-0071-5.

Cite this as:

Weisstein, Eric W. "Blotto Game." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BlottoGame.html

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