Journal of Optimization Theory and Applications

, Volume 69, Issue 2, pp 325–341

Bicriterion differential games with qualitative outcomes

  • U. R. Prasad
  • D. Ghose
Contributed Papers

DOI: 10.1007/BF00940647

Cite this article as:
Prasad, U.R. & Ghose, D. J Optim Theory Appl (1991) 69: 325. doi:10.1007/BF00940647


Combat games are studied as bicriterion differential games with qualitative outcomes determined by threshold values on the criterion functions. Survival and capture strategies of the players are defined using the notion of security levels. Closest approach survival strategies (CASS) and minimum risk capture strategies (MRCS) are important strategies for the players identified as solutions to four optimization problems involving security levels. These are used, in combination with the preference orderings of the qualitative outcomes by the players, to delineate the win regions and the secured draw and mutual kill regions for the players. It is shown that the secured draw regions and the secured mutual kill regions for the two players are not necessarily the same. Simple illustrative examples are given.

Key Words

Game theorydifferential gamesbicriterion gamescombat gamesPareto optimalitysecurity levelsoutcome regionstwo-target gamesmulticriterion gamesgames with vector payoffs

Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • U. R. Prasad
    • 1
  • D. Ghose
    • 2
  1. 1.Department of Computer Science and AutomationIndian Institute of ScienceBangaloreIndia
  2. 2.Department of Aerospace EngineeringIndian Institute of ScienceBangaloreIndia