TY - GEN
T1 - Sequential Hypothesis Testing Game
AU - Peng, Guanze
AU - Zhu, Quanyan
N1 - Publisher Copyright:
© 2020 IEEE.
PY - 2020/3
Y1 - 2020/3
N2 - In this work, we study a stopping time game problem in sequential hypothesis testing, where both of the two players perform hypothesis testing with distinct hypotheses. The payoff of the players depends on the order of stopping times. Therefore, apart from designing the decision function concerning the hypotheses, the players also determine the optimal stopping timings. We investigate the cases where the time horizon is finite or infinite and provide sufficient conditions of finding the equilibrium point. Moreover, we fully characterize the structural properties of the equilibrium strategies.
AB - In this work, we study a stopping time game problem in sequential hypothesis testing, where both of the two players perform hypothesis testing with distinct hypotheses. The payoff of the players depends on the order of stopping times. Therefore, apart from designing the decision function concerning the hypotheses, the players also determine the optimal stopping timings. We investigate the cases where the time horizon is finite or infinite and provide sufficient conditions of finding the equilibrium point. Moreover, we fully characterize the structural properties of the equilibrium strategies.
KW - Nash equilibrium
KW - Sequential hypothesis testing
KW - randomized stopping time
KW - stopping time game
UR - http://www.scopus.com/inward/record.url?scp=85085254261&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85085254261&partnerID=8YFLogxK
U2 - 10.1109/CISS48834.2020.1570617162
DO - 10.1109/CISS48834.2020.1570617162
M3 - Conference contribution
AN - SCOPUS:85085254261
T3 - 2020 54th Annual Conference on Information Sciences and Systems, CISS 2020
BT - 2020 54th Annual Conference on Information Sciences and Systems, CISS 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 54th Annual Conference on Information Sciences and Systems, CISS 2020
Y2 - 18 March 2020 through 20 March 2020
ER -