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A version of the Elfving problem with random starting time

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  • Krasnosielska, Anna

Abstract

An optimal stopping time problem with a Poisson process, discount function and random starting time is considered. Generalizations to a problem with random horizon and to a multi-person stopping game with priorities are presented.

Suggested Citation

  • Krasnosielska, Anna, 2009. "A version of the Elfving problem with random starting time," Statistics & Probability Letters, Elsevier, vol. 79(23), pages 2429-2436, December.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:23:p:2429-2436
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    References listed on IDEAS

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    1. Kühne, Robert & Rüschendorf, Ludger, 2000. "Approximation of optimal stopping problems," Stochastic Processes and their Applications, Elsevier, vol. 90(2), pages 301-325, December.
    2. Ramsey, David M., 2008. "A large population job search game with discrete time," European Journal of Operational Research, Elsevier, vol. 188(2), pages 586-602, July.
    3. Szajowski, Krzysztof, 2007. "A game version of the Cowan-Zabczyk-Bruss' problem," Statistics & Probability Letters, Elsevier, vol. 77(17), pages 1683-1689, November.
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    Cited by:

    1. Anna Krasnosielska-Kobos & Elżbieta Ferenstein, 2013. "Construction of Nash Equilibrium in a Game Version of Elfving’s Multiple Stopping Problem," Dynamic Games and Applications, Springer, vol. 3(2), pages 220-235, June.
    2. Ferenstein, Elzbieta Z. & Krasnosielska, Anna, 2010. "No-information secretary problems with cardinal payoffs and Poisson arrivals," Statistics & Probability Letters, Elsevier, vol. 80(3-4), pages 221-227, February.

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