TY - JOUR
T1 - Optimal defense-attack strategies between M defenders and N attackers
T2 - A method based on cumulative prospect theory
AU - Lin, Chen
AU - Xiao, Hui
AU - Peng, Rui
AU - Xiang, Yisha
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China under grant numbers 71971176 and 72071005 , the Applied Basic Research Program of Sichuan Province under grant number 2020YJ0027 , and the Fundamental Research Funds for the Central Universities under grant JBK210205 .
Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/6
Y1 - 2021/6
N2 - This research studies the system defense of M defenders against N attackers. We model this problem as a defense-attack game between M defenders and N attackers based on the cumulative prospect theory. In this game, the defenders can allocate their resources to defend the system from being attacked, and to attack the attackers such that the opponents lose their offensive power. In response, the attackers can allocate its offensive resources to attack the system and defend themselves from being attacked by the defenders. In this research, we use the cumulative prospect value instead of the vulnerability as the performance measure such that the risk attitudes of defenders and attackers can be considered. Further, we study the cooperative behaviors and non-cooperative behaviors of the attackers and analyze the effect on the optimal resource allocation. Numerical experiments are carried out to illustrate the applications.
AB - This research studies the system defense of M defenders against N attackers. We model this problem as a defense-attack game between M defenders and N attackers based on the cumulative prospect theory. In this game, the defenders can allocate their resources to defend the system from being attacked, and to attack the attackers such that the opponents lose their offensive power. In response, the attackers can allocate its offensive resources to attack the system and defend themselves from being attacked by the defenders. In this research, we use the cumulative prospect value instead of the vulnerability as the performance measure such that the risk attitudes of defenders and attackers can be considered. Further, we study the cooperative behaviors and non-cooperative behaviors of the attackers and analyze the effect on the optimal resource allocation. Numerical experiments are carried out to illustrate the applications.
KW - Cumulative prospect theory
KW - Defense and attack
KW - Game theory
KW - Risk attitude
UR - http://www.scopus.com/inward/record.url?scp=85100434855&partnerID=8YFLogxK
U2 - 10.1016/j.ress.2021.107510
DO - 10.1016/j.ress.2021.107510
M3 - Article
AN - SCOPUS:85100434855
VL - 210
JO - Reliability Engineering and System Safety
JF - Reliability Engineering and System Safety
SN - 0951-8320
M1 - 107510
ER -