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A Blotto Game with Multi-Dimensional Incomplete Information

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  • Dan Kovenock
  • Brian Roberson

Abstract

In the Colonel Blotto game, each of two players simultaneously allocates his fixed budget of a resource across a finite number n of battle elds. Within each battlefield, the player that allocates the higher level of the resource wins the battlefield. Each player's payoff is equal to the sum of the values of the battlefields he wins. In this paper we examine a multi-dimensional incomplete information version of the Colonel Blotto game in which each player's n-tuple of battlefield valuations is drawn from a common n-variate joint distribution function.

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Bibliographic Info

Paper provided by Purdue University, Department of Economics in its series Purdue University Economics Working Papers with number 1262.

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Length: 9 pages
Date of creation: Nov 2010
Date of revision:
Handle: RePEc:pur:prukra:1262

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Keywords: Colonel Blotto Game; Con ict; Multi-dimensional Incomplete Information; Multi-dimensional Action Space;

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  1. Vijay Krishna & John Morgan, 1994. "An Analysis of the War of Attrition and the All-Pay Auction," Game Theory and Information, EconWPA 9409002, EconWPA.
  2. Carolyn Pitchik, 2008. "Budget-Constrained Sequential Auctions with Incomplete Information," Working Papers, University of Toronto, Department of Economics tecipa-342, University of Toronto, Department of Economics.
  3. Adamo, Tim & Matros, Alexander, 2009. "A Blotto game with Incomplete Information," Economics Letters, Elsevier, Elsevier, vol. 105(1), pages 100-102, October.
  4. Che, Yeon-Koo & Gale, Ian, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 65(1), pages 1-21, January.
  5. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, Elsevier, vol. 14(1), pages 1-18, May.
  6. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer, Springer, vol. 29(1), pages 1-24, September.
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