Contributed Papers

Journal of Optimization Theory and Applications

, Volume 69, Issue 2, pp 325-341

First online:

Bicriterion differential games with qualitative outcomes

  • U. R. PrasadAffiliated withDepartment of Computer Science and Automation, Indian Institute of Science
  • , D. GhoseAffiliated withDepartment of Aerospace Engineering, Indian Institute of Science

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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 theory differential games bicriterion games combat games Pareto optimality security levels outcome regions two-target games multicriterion games games with vector payoffs