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An optimal sequential procedure for a multiple selling problem with independent observations

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  • Sofronov, Georgy

Abstract

We consider a sequential problem of selling K identical assets over the finite time horizon with a fixed number of offers per time period and no recall of past offers. The objective is to find an optimal sequential procedure which maximizes the total expected revenue. In this paper, we derive an effective number of stoppings for an optimal sequential procedure for the selling problem with independent observations.

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  • Sofronov, Georgy, 2013. "An optimal sequential procedure for a multiple selling problem with independent observations," European Journal of Operational Research, Elsevier, vol. 225(2), pages 332-336.
  • Handle: RePEc:eee:ejores:v:225:y:2013:i:2:p:332-336
    DOI: 10.1016/j.ejor.2012.09.042
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    References listed on IDEAS

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    Cited by:

    1. Georgy Yu. Sofronov, 2020. "An Optimal Double Stopping Rule for a Buying-Selling Problem," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 1-12, March.
    2. Georgy Yu. Sofronov, 2016. "A multiple optimal stopping rule for a buying–selling problem with a deterministic trend," Statistical Papers, Springer, vol. 57(4), pages 1107-1119, December.
    3. Rebecca Dizon-Ross & Sheldon M. Ross, 2020. "Dynamic search models with multiple items," Annals of Operations Research, Springer, vol. 288(1), pages 223-245, May.
    4. Rodrigo S. Targino & Gareth W. Peters & Georgy Sofronov & Pavel V. Shevchenko, 2017. "Optimal Exercise Strategies for Operational Risk Insurance via Multiple Stopping Times," Methodology and Computing in Applied Probability, Springer, vol. 19(2), pages 487-518, June.
    5. Georgy Sofronov, 2020. "An Optimal Decision Rule for a Multiple Selling Problem with a Variable Rate of Offers," Mathematics, MDPI, vol. 8(5), pages 1-11, May.

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