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Optimal Strategies for Selling an Asset

Author

Listed:
  • Donald B. Rosenfield

    (Arthur D. Little, Inc., Cambridge, Massachusetts)

  • Roy D. Shapiro

    (Harvard University)

  • David A. Butler

    (Oregon State University)

Abstract

This paper considers the problem of selling an asset on the open market. The seller receives a random sequence of price offers, which may arrive either periodically or randomly over time. After each offer is received, the seller must decide whether or not to sell, weighing the possibility of obtaining a better offer against the cost of waiting. A number of authors have established the properties of optimal selling policies when the distribution of offers is known and offers are received periodically. This paper investigates the conditions under which these same properties hold for an unknown offer distribution which is updated as successive offers are received.

Suggested Citation

  • Donald B. Rosenfield & Roy D. Shapiro & David A. Butler, 1983. "Optimal Strategies for Selling an Asset," Management Science, INFORMS, vol. 29(9), pages 1051-1061, September.
    • Handle: RePEc:inm:ormnsc:v:29:y:1983:i:9:p:1051-1061
    DOI: 10.1287/mnsc.29.9.1051
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    Citations

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    Cited by:

    1. Ee, Mong-Shan, 2009. "Asset-selling problem with an uncertain deadline, quitting offer, and search skipping option," European Journal of Operational Research, Elsevier, vol. 198(1), pages 215-222, October.
    2. Chun, Young H. & Plante, Robert D. & Schneider, Helmut, 2002. "Buying and selling an asset over the finite time horizon: A non-parametric approach," European Journal of Operational Research, Elsevier, vol. 136(1), pages 106-120, January.
    3. Chun, Young Hak, 1997. "Rank-based selection strategies for the random walk process," European Journal of Operational Research, Elsevier, vol. 96(2), pages 417-427, January.
    4. Yen‐Ming Lee & Sheldon M. Ross, 2013. "Bayesian selling problem with partial information," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(7), pages 557-570, October.
    5. 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.
    6. Chun, Young H., 1999. "Selecting the best choice in the full information group interview problem," European Journal of Operational Research, Elsevier, vol. 119(3), pages 635-651, December.
    7. Anton J. Kleywegt & Jason D. Papastavrou, 2001. "The Dynamic and Stochastic Knapsack Problem with Random Sized Items," Operations Research, INFORMS, vol. 49(1), pages 26-41, February.
    8. Eric Johnson & Suzanne Shu & Benedict Dellaert & Craig Fox & Daniel Goldstein & Gerald Häubl & Richard Larrick & John Payne & Ellen Peters & David Schkade & Brian Wansink & Elke Weber, 2012. "Beyond nudges: Tools of a choice architecture," Marketing Letters, Springer, vol. 23(2), pages 487-504, June.
    9. Tapan Biswas & Jolian Mchardy, 2012. "Asking Price And Price Discounts: The Strategy Of Selling An Asset Under Price Uncertainty," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 4(1), pages 17-37, June.
    10. 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.
    11. Dellaert, B.G.C. & Baker, T. & Johnson, E.J., 2017. "Partitioning Sorted Sets: Overcoming Choice Overload while Maintaining Decision Quality," ERIM Report Series Research in Management 18-2, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    12. Gerald Häubl & Benedict G. C. Dellaert & Bas Donkers, 2010. "Tunnel Vision: Local Behavioral Influences on Consumer Decisions in Product Search," Marketing Science, INFORMS, vol. 29(3), pages 438-455, 05-06.
    13. 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.
    14. 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.

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