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The Fighter Problem: Optimal Allocation of a Discrete Commodity

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  • Jay Bartroff
  • Ester Samuel-Cahn

Abstract

The Fighter problem with discrete ammunition is studied. An aircraft (fighter) equipped with n anti-aircraft missiles is intercepted by enemy airplanes, the appearance of which follows a homogeneous Poisson process with known intensity. If j of the n missiles are spent at an encounter they destroy an enemy plane with probability a(j), where a(0)=0 and {a(j)} is a known, strictly increasing concave sequence, e.g., a(j)=1 - q j , 0

Suggested Citation

  • Jay Bartroff & Ester Samuel-Cahn, 2010. "The Fighter Problem: Optimal Allocation of a Discrete Commodity," Discussion Paper Series dp558, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  • Handle: RePEc:huj:dispap:dp558
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