Colonel Blotto Games with Reserved Troops

12 Pages Posted: 28 Jan 2019

See all articles by Oz Shy

Oz Shy

Federal Reserve Banks - Federal Reserve Bank of Atlanta

Date Written: January 16, 2019

Abstract

This paper modifies the classic Colonel Blotto games to allow players keep troops on reserve. In a pure-strategy equilibrium, neither player can increase her payoff by moving troops from reserves to any battlefield. Efficiency criterion is defined for the purpose of facilitating the ranking of troop allocations with the same winning profile according to the aggregate number of troops that both players keep on reserve. Efficiency comparisons are used to reduced the number of pure-strategy equilibria.

Keywords: Colonel Blotto Games, Troops on Reserve, Pure-Strategy Equilibria

JEL Classification: C72

Suggested Citation

Shy, Oz, Colonel Blotto Games with Reserved Troops (January 16, 2019). Available at SSRN: https://ssrn.com/abstract=3316483 or http://dx.doi.org/10.2139/ssrn.3316483

Oz Shy (Contact Author)

Federal Reserve Banks - Federal Reserve Bank of Atlanta ( email )

1000 Peachtree Street N.E.
Atlanta, GA 30309-4470
United States

HOME PAGE: http://https://www.frbatlanta.org/research/economists/shy-oz.aspx

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