ISSN:
1573-2878
Keywords:
Combat problems
;
differential games
;
optimal strategies
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We propose a mathematical formulation of a combat game between two opponents with offensive capabilities and offensive objectives. 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: (i) the first player wins, (ii) the second player wins, (iii) a draw (neither wins), or (iv) 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 δ-combat game is introduced.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00939144
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