IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v59y2011i5p1119-1130.html
   My bibliography  Save this article

Acquisition of Project-Specific Assets with Bayesian Updating

Author

Listed:
  • H. Dharma Kwon

    (Department of Business Administration, University of Illinois at Urbana--Champaign, Champaign, Illinois 61820)

  • Steven A. Lippman

    (UCLA Anderson School of Management, Los Angeles, California 90095)

Abstract

We study the impact of learning on the optimal policy and the time-to-decision in an infinite-horizon Bayesian sequential decision model with two irreversible alternatives: exit and expansion. In our model, a firm undertakes a small-scale pilot project to learn, via Bayesian updating, about the project's profitability, which is known to be in one of two possible states. The firm continuously observes the project's cumulative profit, but the true state of the profitability is not immediately revealed because of the inherent noise in the profit stream. The firm bases its exit or expansion decision on the posterior probability distribution of the profitability. The optimal policy is characterized by a pair of thresholds for the posterior probability. We find that the time-to-decision does not necessarily have a monotonic relation with the arrival rate of new information.

Suggested Citation

  • H. Dharma Kwon & Steven A. Lippman, 2011. "Acquisition of Project-Specific Assets with Bayesian Updating," Operations Research, INFORMS, vol. 59(5), pages 1119-1130, October.
  • Handle: RePEc:inm:oropre:v:59:y:2011:i:5:p:1119-1130
    DOI: 10.1287/opre.1110.0949
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.1110.0949
    Download Restriction: no

    File URL: https://libkey.io/10.1287/opre.1110.0949?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Yaozhong Hu & Bernt Øksendal, 1998. "Optimal time to invest when the price processes are geometric Brownian motions," Finance and Stochastics, Springer, vol. 2(3), pages 295-310.
    2. Hui Wang, 2005. "A Sequential Entry Problem with Forced Exits," Mathematics of Operations Research, INFORMS, vol. 30(2), pages 501-520, May.
    3. Godfrey Keller & Sven Rady, 1999. "Optimal Experimentation in a Changing Environment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 475-507.
    4. Jean-Paul Décamps & Thomas Mariotti & Stéphane Villeneuve, 2006. "Irreversible investment in alternative projects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(2), pages 425-448, June.
    5. Kevin F. McCardle, 1985. "Information Acquisition and the Adoption of New Technology," Management Science, INFORMS, vol. 31(11), pages 1372-1389, November.
    6. Canan Ulu & James E. Smith, 2009. "Uncertainty, Information Acquisition, and Technology Adoption," Operations Research, INFORMS, vol. 57(3), pages 740-752, June.
    7. Olsen, Trond E. & Stensland, Gunnar, 1992. "On optimal timing of investment when cost components are additive and follow geometric diffusions," Journal of Economic Dynamics and Control, Elsevier, vol. 16(1), pages 39-51, January.
    8. Dirk Bergemann & Juuso Välimäki, 2000. "Experimentation in Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 213-234.
    9. K. J. Arrow, 1971. "The Economic Implications of Learning by Doing," Palgrave Macmillan Books, in: F. H. Hahn (ed.), Readings in the Theory of Growth, chapter 11, pages 131-149, Palgrave Macmillan.
    10. Dixit, Avinash K, 1989. "Entry and Exit Decisions under Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 620-638, June.
    11. Avinash Dixit, 1992. "Investment and Hysteresis," Journal of Economic Perspectives, American Economic Association, vol. 6(1), pages 107-132, Winter.
    12. Luis H. R. Alvarez, 2001. "Reward functionals, salvage values, and optimal stopping," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 54(2), pages 315-337, December.
    13. Jean-Paul Décamps & Thomas Mariotti & Stéphane Villeneuve, 2005. "Investment Timing Under Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 30(2), pages 472-500, May.
    14. Giuseppe Moscarini & Lones Smith, 2001. "The Optimal Level of Experimentation," Econometrica, Econometric Society, vol. 69(6), pages 1629-1644, November.
    15. H. Dharma Kwon, 2010. "Invest or Exit? Optimal Decisions in the Face of a Declining Profit Stream," Operations Research, INFORMS, vol. 58(3), pages 638-649, June.
    16. Dayanik, Savas & Karatzas, Ioannis, 2003. "On the optimal stopping problem for one-dimensional diffusions," Stochastic Processes and their Applications, Elsevier, vol. 107(2), pages 173-212, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Katolnik, Svetlana & Schöndube, Jens Robert, 2015. "Don't Kill the Goose that Lays the Golden Eggs: Strategic Delay in Project Completion," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113046, Verein für Socialpolitik / German Economic Association.
    2. Katolnik, Svetlana & Schöndube, Jens Robert, 2014. "Don't Kill the Goose that Lays the Golden Eggs: Strategic Delay in Project Completion," Hannover Economic Papers (HEP) dp-533, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    3. Anyan Qi & Hyun-Soo Ahn & Amitabh Sinha, 2017. "Capacity Investment with Demand Learning," Operations Research, INFORMS, vol. 65(1), pages 145-164, February.
    4. J. Michael Harrison & Nur Sunar, 2015. "Investment Timing with Incomplete Information and Multiple Means of Learning," Operations Research, INFORMS, vol. 63(2), pages 442-457, April.
    5. Anyan Qi & Hyun-Soo Ahn & Amitabh Sinha, 2017. "Capacity Investment with Demand Learning," Operations Research, INFORMS, vol. 65(1), pages 145-164, February.
    6. Onesun Steve Yoo & Tingliang Huang & Kenan Arifoğlu, 2021. "A Theoretical Analysis of the Lean Start-up Method," Marketing Science, INFORMS, vol. 40(3), pages 395-412, May.
    7. H. Dharma Kwon & Wenxin Xu & Anupam Agrawal & Suresh Muthulingam, 2016. "Impact of Bayesian Learning and Externalities on Strategic Investment," Management Science, INFORMS, vol. 62(2), pages 550-570, February.
    8. Zhenyu Hu & Wenjie Tang, 2021. "Size Matters, So Does Duration: The Interplay Between Offer Size and Offer Deadline," Management Science, INFORMS, vol. 67(8), pages 4935-4960, August.
    9. Sebastian Sund & Lars H. Sendstad & Jacco J. J. Thijssen, 2022. "Kalman filter approach to real options with active learning," Computational Management Science, Springer, vol. 19(3), pages 457-490, July.
    10. Rutger-Jan Lange & Coen Teulings, 2018. "The option value of vacant land and the optimal timing of city extensions," Tinbergen Institute Discussion Papers 18-033/III, Tinbergen Institute.
    11. Thijssen, Jacco J.J. & Bregantini, Daniele, 2017. "Costly sequential experimentation and project valuation with an application to health technology assessment," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 202-229.
    12. Hao Zhang, 2022. "Analytical Solution to a Discrete-Time Model for Dynamic Learning and Decision Making," Management Science, INFORMS, vol. 68(8), pages 5924-5957, August.
    13. Dalby, Peder A.O. & Gillerhaugen, Gisle R. & Hagspiel, Verena & Leth-Olsen, Tord & Thijssen, Jacco J.J., 2018. "Green investment under policy uncertainty and Bayesian learning," Energy, Elsevier, vol. 161(C), pages 1262-1281.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. H. Dharma Kwon & Steven A. Lippman, 2019. "Acquisition of Project-Specific Assets with Bayesian Updating," Papers 1901.04120, arXiv.org.
    2. Décamps, Jean-Paul & Mariotti, Thomas & Villeneuve, Stéphane, 2000. "Investment Timing under Incomplete Information," IDEI Working Papers 115, Institut d'Économie Industrielle (IDEI), Toulouse, revised Apr 2004.
    3. H. Dharma Kwon & Wenxin Xu & Anupam Agrawal & Suresh Muthulingam, 2016. "Impact of Bayesian Learning and Externalities on Strategic Investment," Management Science, INFORMS, vol. 62(2), pages 550-570, February.
    4. H. Dharma Kwon, 2010. "Invest or Exit? Optimal Decisions in the Face of a Declining Profit Stream," Operations Research, INFORMS, vol. 58(3), pages 638-649, June.
    5. Strulovici, Bruno & Szydlowski, Martin, 2015. "On the smoothness of value functions and the existence of optimal strategies in diffusion models," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 1016-1055.
    6. Dammann, Felix & Ferrari, Giorgio, 2021. "On an Irreversible Investment Problem with Two-Factor Uncertainty," Center for Mathematical Economics Working Papers 646, Center for Mathematical Economics, Bielefeld University.
    7. Jean-Paul Décamps & Thomas Mariotti & Stéphane Villeneuve, 2005. "Investment Timing Under Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 30(2), pages 472-500, May.
    8. Qiang Li & Junwei Wang & Jian Ni & Lap Keung Chu & Congdong Li, 2019. "The optimal time to make a risky investment under a permanent exit option," Journal of Intelligent Manufacturing, Springer, vol. 30(7), pages 2669-2680, October.
    9. N. Bora Keskin & John R. Birge, 2019. "Dynamic Selling Mechanisms for Product Differentiation and Learning," Operations Research, INFORMS, vol. 67(4), pages 1069-1089, July.
    10. Felix Dammann & Giorgio Ferrari, 2021. "On an Irreversible Investment Problem with Two-Factor Uncertainty," Papers 2103.08258, arXiv.org, revised Jul 2021.
    11. Cujean, Julien & Bustamante, Maria Cecilia & Frésard, Laurent, 2019. "Knowledge Cycles and Corporate Investment," CEPR Discussion Papers 14152, C.E.P.R. Discussion Papers.
    12. Sebastian Sund & Lars H. Sendstad & Jacco J. J. Thijssen, 2022. "Kalman filter approach to real options with active learning," Computational Management Science, Springer, vol. 19(3), pages 457-490, July.
    13. Lukach, R. & Kort, P.M. & Plasmans, J.E.J., 2005. "Optimal R&D Investment Strategies with Quantity Competition under the Threat of Superior Entry," Other publications TiSEM f41be61a-5422-43b2-9080-0, Tilburg University, School of Economics and Management.
    14. Joachim Gahungu and Yves Smeers, 2012. "A Real Options Model for Electricity Capacity Expansion," RSCAS Working Papers 2012/08, European University Institute.
    15. GAHUNGU, Joachim & SMEERS, Yves, 2011. "A real options model for electricity capacity expansion," LIDAM Discussion Papers CORE 2011044, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. Mariotti, Thomas & Décamps, Jean-Paul & Gensbittel, Fabien, 2021. "Investment Timing and Technological Breakthrough," CEPR Discussion Papers 16246, C.E.P.R. Discussion Papers.
    17. Christensen, Sören & Irle, Albrecht, 2020. "The monotone case approach for the solution of certain multidimensional optimal stopping problems," Stochastic Processes and their Applications, Elsevier, vol. 130(4), pages 1972-1993.
    18. J. Michael Harrison & Nur Sunar, 2015. "Investment Timing with Incomplete Information and Multiple Means of Learning," Operations Research, INFORMS, vol. 63(2), pages 442-457, April.
    19. Lavrutich, Maria N., 2017. "Capacity choice under uncertainty in a duopoly with endogenous exit," European Journal of Operational Research, Elsevier, vol. 258(3), pages 1033-1053.
    20. Federico Bassi, 2016. "Aggregate demand, sunk costs and discontinuous adjustments in an amended new consensus model," Review of Political Economy, Taylor & Francis Journals, vol. 28(3), pages 313-335, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:oropre:v:59:y:2011:i:5:p:1119-1130. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.