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A Game Theoretical Multiple Resource Interaction Approach to Resource Allocation in an Air Campaign

Author

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  • Debasish Ghose
  • Jason Speyer
  • Jeff Shamma

Abstract

In this paper we propose a multiple resource interaction model in a game-theoretical framework to solve resource allocation problems in theater level military campaigns. An air raid campaign using SEAD aircraft and bombers against an enemy target defended by air defense units is considered as the basic platform. Conditions for the existence of saddle point in pure strategies is proved and explicit feedback strategies are obtained for a simplified model with linear attrition function limited by resource availability. An illustrative example demonstrates the key features. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • Debasish Ghose & Jason Speyer & Jeff Shamma, 2002. "A Game Theoretical Multiple Resource Interaction Approach to Resource Allocation in an Air Campaign," Annals of Operations Research, Springer, vol. 109(1), pages 15-40, January.
    • Handle: RePEc:spr:annopr:v:109:y:2002:i:1:p:15-40:10.1023/a:1016335731847
    DOI: 10.1023/A:1016335731847
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    Cited by:

    1. Connor McLemore & Donald Gaver & Patricia Jacobs, 2016. "A model for geographically distributed combat interactions of swarming naval and air forces," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(7), pages 562-576, October.
    2. Marvin L. King & David R. Galbreath & Alexandra M. Newman & Amanda S. Hering, 2020. "Combining regression and mixed-integer programming to model counterinsurgency," Annals of Operations Research, Springer, vol. 292(1), pages 287-320, September.
    3. Garrouste, Christelle & Loi, Massimo, 2009. "Applications De La Theorie Des Jeux A L'Education: Pour Quels Types Et Niveaux D'Education, Quels Modeles, Quels Resultats? [Applications of Game Theory in Education - What Types and At What Levels," MPRA Paper 31825, University Library of Munich, Germany.
    4. Michael Armstrong, 2011. "A verification study of the stochastic salvo combat model," Annals of Operations Research, Springer, vol. 186(1), pages 23-38, June.

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