Formulation and analysis of combat problems as zero-sum bicriterion differential games
type: Item
instance of: scholarly article
title: Formulation and analysis of combat problems as zero-sum bicriterion differential games
zbMATH Open document ID: 0628.90104
DOI: 10.1007/BF00939863
author: B. George
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: We present a formulation and analysis of a combat game between two players as a zero-sum bicriterion differential game. Each player's twin objectives of terminating the game on his own target set, while simultaneously avoiding his opponent's target set, are quantified in this approach. The solution in open-loop pure strategies is sought from among the Pareto-optimal security strategies of the players. A specific preference ordering on the outcomes is used to classfy initial events in the assured win, draw, and mutual kill regions for the players. The method is compared with the event-constrained differential game approach, recently proposed by others. Finally, a simple example of the turret game is solved to illustrate the use of this method.
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 91A99
zbMATH DE Number: 4023070
zbMATH Keywords: Pareto-optimal strategies
zbMATH Keywords: combat game
zbMATH Keywords: two players
zbMATH Keywords: zero-sum bicriterion differential game
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939863
OpenAlex ID: W1987479130
description: scientific article; zbMATH DE number 4023070