Abstract
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.
Another such victory over the Romans, and we are undone.
Pyrrhus
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Beale, E., & Heselden, G. (1962). An approximate method of solving Blotto Games. Naval Research Logistics, 9(2), 65–79.
Bracken, J., Brooks, P., & Falk, J. (1987). Robust preallocated preferential defense. Naval Research Logistics, 34(1), 1–22.
Croucher, J. (1975). Application of the fundamental theory of games to an example concerning antiballistic missile defense. Naval Research Logistics, 22(1), 197–203.
Eckler, A., & Burr, S. (1972). Mathematical models of target coverage and missile allocation. Arlington, VA: Military Operations Research Society.
Galiano, R. (1969). A simple analytic model for preallocated defense. Paper 30, Lambda Corporation, Arlington, VA.
Matheson, J. (1967). Preferential strategies with imperfect weapons. Report AR67-1, Analytical Services Corporation, Falls Church, VA.
McGarvey, D. (1987). Mixed strategy solutions to integer Prim-Read defense problems. Report P-7302, RAND Corporation, Santa Monica, CA.
Washburn, A. (2013). Blotto politics. to appear in Operations Research 61(4)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media New York
About this chapter
Cite this chapter
Washburn, A. (2014). Blotto Games. In: Two-Person Zero-Sum Games. International Series in Operations Research & Management Science, vol 201. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-9050-0_6
Download citation
DOI: https://doi.org/10.1007/978-1-4614-9050-0_6
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-9049-4
Online ISBN: 978-1-4614-9050-0
eBook Packages: Business and EconomicsBusiness and Management (R0)