A Continuous Colonel Blotto Game

Abstract

Colonel Blotto and the enemy are confronted with the following situation: Colonel Blotto has at his disposal a total of B( > 0) units of attack, capable of continuous partition; whereas the enemy has E( > 0) units of like character. They are to attack simultaneously and in full force a set of n hills of different value, such that the payoff by the enemy to C. B. for the jth hill is +a(sub j)( > 0) if Blotto's forces exceed his there, -a(sub j) if the enemy's exceed Blotto's, and 0 otherwise. How should they play?

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Document Details

Document Type
Technical Report
Publication Date
Jun 17, 1950
Accession Number
ADA595936

Entities

People

  • O. Gross
  • R. M. Wagner

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Altitude
  • Bivariate Density Functions
  • Construction
  • Corporations
  • Hemispheres
  • Information Operations
  • Probability
  • Triangles
  • United States
  • Verification
  • Zero-Sum Games

Readers

  • Analytical Mechanics
  • Military History of the United States in the 20th Century.
  • Military Training and Readiness Simulation