Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
SEARCH PROBLEMS WITH AN IMMOVABLE HIDER. / Petrosjan, L. A.
IFAC Proceedings Series. ed. / N.K. Sinha; L.A. Telksnys. 2. ed. Pergamon Press, 1987. p. 239-241 (IFAC Proceedings Series; No. 2).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - SEARCH PROBLEMS WITH AN IMMOVABLE HIDER.
AU - Petrosjan, L. A.
PY - 1987/12/1
Y1 - 1987/12/1
N2 - The simultaneous zero-sum search game on the sphere C is considered. The point chosen by the hider is called 'discovered' if it lies in the r-neighbourhood of the points chosen by the searcher. The payoff of the searcher is equal to the number of discovered points. The case with a moving searcher is also considered. The optimal strategy of the searcher consists in the random throwing of the 'discovery region' on the sphere according to the probability distribution generated by the kinematic measure. The optimal mixed strategy of the hider and the value of the game are found.
AB - The simultaneous zero-sum search game on the sphere C is considered. The point chosen by the hider is called 'discovered' if it lies in the r-neighbourhood of the points chosen by the searcher. The payoff of the searcher is equal to the number of discovered points. The case with a moving searcher is also considered. The optimal strategy of the searcher consists in the random throwing of the 'discovery region' on the sphere according to the probability distribution generated by the kinematic measure. The optimal mixed strategy of the hider and the value of the game are found.
UR - http://www.scopus.com/inward/record.url?scp=0023570947&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0023570947
SN - 0080334520
T3 - IFAC Proceedings Series
SP - 239
EP - 241
BT - IFAC Proceedings Series
A2 - Sinha, N.K.
A2 - Telksnys, L.A.
PB - Pergamon Press
ER -
ID: 48343480