Combat games
type: Item
instance of: scholarly article
title: Combat games
zbMATH Open document ID: 0548.90102
DOI: 10.1007/BF00939144
author: N. E. Zubov
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: 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 \(\delta\) -combat game is introduced.
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A99
zbMATH DE Number: 3875010
zbMATH Keywords: military analysis
zbMATH Keywords: combat game
zbMATH Keywords: optimal strategies
zbMATH Keywords: two players
MaRDI profile type: Publication
cites work: Q5638152
cites work: Q5331036
cites work: Q4088642
cites work: Q3328486
cites work: Dynamic noncooperative game theory
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cites work: Qualitative differential games with two targets
description: scientific article; zbMATH DE number 3875010