A problem of guarding a territory with two invaders and two defenders

Author

Lee, Yuan-Shun ; Hsia, Kuo-Hsien ; Hsieh, Jer-Guang

Author_Institution

Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan

Volume

3

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

863

Abstract

A problem of guarding a territory with two defenders and two invaders is formulated and investigated. Favorable regions for the players are introduced in order to analyze this problem qualitatively by dividing the playing space into several regions. First, we consider the possibility of whether both invaders are capable of entering the territory successfully. If this is not possible, then we consider the possibility of whether either one of the invaders is capable of entering the territory, in which case the distance between the territory and the invader not entering the territory is chosen as the payoff. If this is not the case, we consider the sum of the distances between the invaders and the territory as the payoff

Keywords

game theory; defenders; favorable regions; game theory; invader-territory distance; invaders; payoff; playing space; territory entry possibility; territory guarding; Aircraft; Educational institutions; Management information systems; State-space methods; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on

Conference_Location

Tokyo

ISSN

1062-922X

Print_ISBN

0-7803-5731-0

Type

conf

DOI

10.1109/ICSMC.1999.823341

Filename

823341