Blotto Games

  • Alan Washburn
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 201)


Colonel Blotto made his first appearance in Caliban's Weekend Book of 1924, where he faced the problem of trying to capture as many forts as possible with a limited number of divisions. Blotto’s problem was made difficult because an opposing commander was at the same time distributing defensive forces among the forts in an effort to frustrate him. The class of games where each player must divide an aggregate force among several areas of contention has since been named after the Colonel.


Cumulative Distribution Function Marginal Distribution Mixed Strategy Pure Strategy Dual Linear Program 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. Beale, E., & Heselden, G. (1962). An approximate method of solving Blotto Games. Naval Research Logistics, 9(2), 65–79.CrossRefGoogle Scholar
  2. Bracken, J., Brooks, P., & Falk, J. (1987). Robust preallocated preferential defense. Naval Research Logistics, 34(1), 1–22.CrossRefGoogle Scholar
  3. Croucher, J. (1975). Application of the fundamental theory of games to an example concerning antiballistic missile defense. Naval Research Logistics, 22(1), 197–203.CrossRefGoogle Scholar
  4. Eckler, A., & Burr, S. (1972). Mathematical models of target coverage and missile allocation. Arlington, VA: Military Operations Research Society.Google Scholar
  5. Galiano, R. (1969). A simple analytic model for preallocated defense. Paper 30, Lambda Corporation, Arlington, VA.Google Scholar
  6. Matheson, J. (1967). Preferential strategies with imperfect weapons. Report AR67-1, Analytical Services Corporation, Falls Church, VA.Google Scholar
  7. McGarvey, D. (1987). Mixed strategy solutions to integer Prim-Read defense problems. Report P-7302, RAND Corporation, Santa Monica, CA.Google Scholar
  8. Washburn, A. (2013). Blotto politics. to appear in Operations Research 61(4)Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Alan Washburn
    • 1
  1. 1.Operations Research DepartmentNaval Postgraduate SchoolMontereyUSA

Personalised recommendations