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dc.contributor.authorGrass, Dieter
dc.contributor.authorKress, Moshe
dc.contributor.authorCaulkins, Jonathan P.
dc.contributor.authorFeichtinger, Gustav
dc.contributor.authorSeidl, Andrea
dc.dateResearch Report 2017-02
dc.date.accessioned2018-07-25T05:05:20Z
dc.date.available2018-07-25T05:05:20Z
dc.date.issued2017-01
dc.identifier.urihttp://hdl.handle.net/10945/59346
dc.description.abstractLanchester (1916) modeled combat situations between two opponents, where mutual attrition occurs continuously in time, by a pair of simple ordinary (linear) differential equations. The aim of the present paper is to extend the model to a conflict consisting of three parties. In particular, Lanchester's main result, i.e. his square law, is adapted to a triple fight. However, here a central factor besides the initial strengths of the forces determining the long run outcome is the allocation of each opponent's efforts between the other two parties. De- pending on initial strengths, (the) solution paths are calculated and visualized in appropriate phase portraits. We are able identify regions in the state space where, independent of the force allocation of the opponents, always the same combatant wins, regions, where a combatant can win if its force allocation is wisely chosen, and regions where a combatant cannot win itself but determine the winner by its forces allocation. As such, the present model can be seen as a forerunner of a dynamic game between three opponents.en_US
dc.description.sponsorshipNaval Research Programen_US
dc.description.sponsorshipThis research was supported by the Austrian Science Fund (FWF)en_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code Section 101. Copyright protection is not available for this work in the United States.en_US
dc.subjectsystem dynamicsen_US
dc.subjectLanchester modelen_US
dc.subjectSquare Lawen_US
dc.subjectthree combatantsen_US
dc.titleLanchester Model for Three-Way Combaten_US
dc.typeReporten_US
dc.contributor.corporateOperations Research and Control Systems, Institute of Statistics and Mathematical Methods in Economics Vienna University of Technology
dc.contributor.departmentOperations Research (OR)
dc.description.funderP25979-N25


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