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Combat gamesA mathematical formulation is proposed of a combat game between two opponents with offensive capabilities and offensive objective is proposed. Resolution of the combat involves solving two differential games with state constraints. Depending on the game dynamics and parameters, the combat can terminate in one of four ways: the first player wins; the second player wins; a draw (neither wins); or joint capture. In the first two cases, the optimal strategies of the two players are determined from suitable zero-sum games, whereas in the latter two the relevant games are nonzero-sum. Further, to avoid certain technical difficulties, the concept of a delta-combat game is introduced.
Document ID
Document Type
Reprint (Version printed in journal)
External Source(s)
Ardema, M. D.
(NASA Ames Research Center Moffett Field, CA, United States)
Heymann, M.
(NASA Ames Research Center Moffett Field, CA, United States)
Rajan, N.
(Stanford University CA, United States)
Date Acquired
August 12, 2013
Publication Date
August 1, 1985
Publication Information
Publication: Journal of Optimization Theory and Applications
Volume: 46
ISSN: 0022-3239
Subject Category
Systems Analysis
Accession Number
Distribution Limits

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