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The Non-Constant-Sum Colonel Blotto Game

  • Brian Roberson

    ()

    (Krannert School of Management, Economics Department, Purdue University)

  • Dmitriy Kvasov

    ()

    (School of Economics, University of Adelaide)

The Colonel Blotto game is a two-player constant-sum game in which each player simultaneously distributes his fixed level of resources across a set of contests. In the traditional formulation of the Colonel Blotto game, the players' resources are ''use it or lose it'' in the sense that any resources which are not allocated to one of the contests are forfeited. This article examines a non-constant-sum version of the Colonel Blotto game which relaxes this use it or lose it feature. We find that if the level of asymmetry between the players' budgets is below a threshold, then there exists a one-to-one mapping from the unique set of equilibrium univariate marginal distribution functions in the constant-sum game to those in the non-constant-sum game. Once the asymmetry of the players' budgets exceeds the threshold this relationship breaks down and we construct a new equilibrium.

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File URL: http://www.economics.adelaide.edu.au/research/papers/doc/wp2010-31.pdf
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Paper provided by University of Adelaide, School of Economics in its series School of Economics Working Papers with number 2010-31.

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Length: 45 pages
Date of creation: Dec 2010
Date of revision:
Handle: RePEc:adl:wpaper:2010-31
Contact details of provider: Postal: Adelaide SA 5005
Phone: (618) 8303 5540
Web page: http://www.economics.adelaide.edu.au/

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  12. Dan Kovenock & Brian Roberson, 2012. "Coalitional Colonel Blotto Games with Application to the Economics of Alliances," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 14(4), pages 653-676, 08.
  13. Kvasov, Dmitriy, 2007. "Contests with limited resources," Journal of Economic Theory, Elsevier, vol. 136(1), pages 738-748, September.
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