IDEAS home Printed from https://ideas.repec.org/a/bpj/bejtec/v18y2018i1p15n14.html

A Competitive Optimal Stopping Game

Author

Listed:
  • Whitmeyer Mark

    (Department of Economics, University of Texas at Austin, Austin, USA)

Abstract

This paper explores a multi-player game of optimal stopping over a finite time horizon. A player wins by retaining a higher value than her competitors do, from a series of independent draws. In our game, a cutoff strategy is optimal, we derive its form, and we show that there is a unique Bayesian Nash Equilibrium in symmetric cutoff strategies. We establish results concerning the cutoff value in its limit and expose techniques, in particular, use of the Budan-Fourier Theorem, that may be useful in other similar problems.

Suggested Citation

  • Whitmeyer Mark, 2018. "A Competitive Optimal Stopping Game," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(1), pages 1-15, January.
    • Handle: RePEc:bpj:bejtec:v:18:y:2018:i:1:p:15:n:14
    DOI: 10.1515/bejte-2016-0128
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/bejte-2016-0128
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/bejte-2016-0128?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Frank Riedel, 2009. "Optimal Stopping With Multiple Priors," Econometrica, Econometric Society, vol. 77(3), pages 857-908, May.
    2. Ruchira Datta, 2010. "Finding all Nash equilibria of a finite game using polynomial algebra," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 55-96, January.
    3. Ean-Harn Ng & Mario G. Beruvides, 2015. "Multiple Internal Rate of Return Revisited: Frequency of Occurrences," The Engineering Economist, Taylor & Francis Journals, vol. 60(1), pages 75-87, January.
    4. Dutta, Prajit K & Rustichini, Aldo, 1993. "A Theory of Stopping Time Games with Applications to Product Innovations and Asset Sales," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 743-763, October.
    5. Thijssen, Jacco J.J. & Huisman, Kuno J.M. & Kort, Peter M., 2012. "Symmetric equilibrium strategies in game theoretic real option models," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 219-225.
    6. Fouad Abdelaziz & Saoussen Krichen, 2007. "Optimal stopping problems by two or more decision makers: a survey," Computational Management Science, Springer, vol. 4(2), pages 89-111, April.
    7. Jan-Henrik Steg, 2018. "On Preemption in Discrete and Continuous Time," Dynamic Games and Applications, Springer, vol. 8(4), pages 918-938, December.
    Full references (including those not matched with items on IDEAS)

    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. Riedel, Frank & Steg, Jan-Henrik, 2017. "Subgame-perfect equilibria in stochastic timing games," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 36-50.
    2. Boyarchenko, Svetlana & Levendorskiĭ, Sergei, 2014. "Preemption games under Lévy uncertainty," Games and Economic Behavior, Elsevier, vol. 88(C), pages 354-380.
    3. Arasteh, Abdollah, 2017. "Considering the investment decisions with real options games approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 72(C), pages 1282-1294.
    4. Svetlana Boyarchenko, 2020. "Super- and submodularity of stopping games with random observations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 983-1022, November.
    5. Rohan DUTTA, 2016. "Joint Search with No Information: An Inefficient Immediate Agreement Theorem," Cahiers de recherche 12-2016, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    6. Balter, Anne G. & Huisman, Kuno J.M. & Kort, Peter M., 2022. "Effects of creative destruction on the size and timing of an investment," International Journal of Production Economics, Elsevier, vol. 252(C).
    7. Fouad Ben Abdelaziz & Ray Saadaoui Mallek, 2018. "Multi-criteria optimal stopping methods applied to the portfolio optimisation problem," Annals of Operations Research, Springer, vol. 267(1), pages 29-46, August.
    8. Billette de Villemeur, Etienne & Ruble, Richard & Versaevel, Bruno, 2014. "Investment timing and vertical relationships," International Journal of Industrial Organization, Elsevier, vol. 33(C), pages 110-123.
    9. Andrew Foerster & Juan F. Rubio‐Ramírez & Daniel F. Waggoner & Tao Zha, 2016. "Perturbation methods for Markov‐switching dynamic stochastic general equilibrium models," Quantitative Economics, Econometric Society, vol. 7(2), pages 637-669, July.
    10. Edouard Civel & Marc Baudry, 2018. "The Fate of Inventions. What can we learn from Bayesian learning in strategic options model of adoption ?," EconomiX Working Papers 2018-47, University of Paris Nanterre, EconomiX.
    11. Patrick Beissner, 2019. "Coherent-Price Systems and Uncertainty-Neutral Valuation," Risks, MDPI, vol. 7(3), pages 1-18, September.
    12. Albrecht, E & Baum, Günter & Birsa, R & Bradamante, F & Bressan, A & Chapiro, A & Cicuttin, A & Ciliberti, P & Colavita, A & Costa, S & Crespo, M & Cristaudo, P & Dalla Torre, S & Diaz, V & Duic, V &, 2010. "Results from COMPASS RICH-1," Center for Mathematical Economics Working Papers 535, Center for Mathematical Economics, Bielefeld University.
    13. Dai, Darong, 2012. "A Robust Turnpike Deduced by Economic Maturity," MPRA Paper 48818, University Library of Munich, Germany.
    14. Thijssen, J.J.J., 2003. "Investment under uncertainty, market evolution and coalition spillovers in a game theoretic perspective," Other publications TiSEM 672073a6-492e-4621-8d4a-0, Tilburg University, School of Economics and Management.
    15. Etienne Billette de Villemeur & Richard Ruble & Bruno Versaevel, 2011. "Coordination and Cooperation in Investment Timing with Externalities?," Working Papers 1128, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    16. Fabien Gensbittel & Dana Pizarro & Jérôme Renault, 2025. "Correction to: Competition and Recall in Selection Problems," Dynamic Games and Applications, Springer, vol. 15(3), pages 1116-1116, July.
    17. Dana, Rose-Anne & Riedel, Frank, 2013. "Intertemporal equilibria with Knightian uncertainty," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1582-1605.
    18. Gonçalo Faria & João Correia-da-Silva, 2012. "The price of risk and ambiguity in an intertemporal general equilibrium model of asset prices," Annals of Finance, Springer, vol. 8(4), pages 507-531, November.
    19. Darong Dai, 2015. "Robust Turnpikes Deduced by the Minimum-Time Needed toward Economic Maturity," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 9(1), pages 049-073, October.
    20. Adriana Breccia & Hector Salgado-Banda, 2006. "Competing or Colluding in a Stochastic Environment," Computing in Economics and Finance 2006 423, Society for Computational Economics.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    Statistics

    Access and download statistics

    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:bpj:bejtec:v:18:y:2018:i:1:p:15:n:14. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyterbrill.com .

    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.