Qualitative analysis of secured outcome regions for two-target games |
| |
Authors: | D Ghose U R Prasad |
| |
Institution: | (1) Department of Aerospace Engineering, Indian Institute of Science, Bangalore, India;(2) Department of Computer Science and Automation, Indian Institute of Science, Bangalore, India |
| |
Abstract: | Qualitative (game of kind) outcomes of two-target games are analyzed in this paper, under both the zero-sum and nonzero-sum preference ordering of outcomes by the players. The outcome regions of each player are defined from a security standpoint. The secured draw and mutual-kill regions of a player depend explicitly on his preference ordering of outcomes and should be constructed separately for each player, especially in a nonzero-sum game. General guidelines are presented for identifying the secured outcome regions of players in a class of two-target games that satisfy an Isaacs-like condition, in terms of the qualitative solutions of the two underlying single-target pursuit-evasion games. A construction has been proposed for obtaining the qualitative solution of a large class of two-target games. Illustrative examples are included.This work was done while the first author was a Research Associate in the Department of Electrical Engineering at the Indian Institute of Science, Bangalore, and was financially supported by the Council of Scientific and Industrial Research, Delhi, India. |
| |
Keywords: | Game theory differential games combat games two-target games games of kind qualitative games outcome regions |
本文献已被 SpringerLink 等数据库收录! |
|