On some blackjack type optimal stopping problem

• Autorzy: Grzybowski A.
• Języki publikacji: EN

Abstrakty

EN

In the paper a class of optimal stopping problems which have some blackjack game features is considered. Both a value of the problem and an optimal stopping rule are found in some special case. Some examples and practical questions are considered as well.

Słowa kluczowe

EN

optimal stopping rule; Markov processes; decision theory

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2008
• Tom: Vol. 7, nr 1
• Strony: 49--56
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Grzybowski A.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

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• [3] Ferguson T.S., Optimal Stopping and Applications, unpublished manuscript, 2000,http://www.math.ucla.edu/~tom/Stopping/Contents.html
• [4] Chow Y.S., Robbins H., Siegmund D., Great Expectations: The Theory of Optimal Stopping, Houghton Mifflin, Boston 1971.
• [5] Jacka S.D., Kyprianou A.E., Peskir G., Optimal stopping with applications: an editorial prelude, Stochastics: An International Journal of Probability and Stochastic Processes 2007, Vol. 79, Nos. 1-2, February-April, pp. 1-4.
• [6] Clarke H.R., Reed W.J. Applications of Optimal Stopping in Resource Economics, The Economic Record 2008, Volume 66 Issue 3, pp. 254-265.
• [7] Ferguson T.S., Bruss F.T., Le Cam L.M., Game Theory, Optimal Stopping, Probability and Statistics: Papers in Honor of Thomas S. Ferguson. Lecture Notes-Monograph Series, Volume 35, Beachwood, Institute of Mathematical Statistics, 2000.
• [8] Shiryayev A.N., Optimal stopping rules, Springer-Verlag, New York 1978.