IDEAS home Printed from https://ideas.repec.org/p/cdl/compol/qt9c11m09n.html
   My bibliography  Save this paper

Clock Games: Theory and Experiments

Author

Listed:
  • Brunnermeier, Markus K
  • Morgan, John

Abstract

Timing is crucial in situations ranging from product introductions, to currency attacks, to starting a revolution. These settings share the feature that payoffs depend critically on the timing of moves of a few other key players—and these are uncertain. To capture this, we introduce the notion of clock games and experimentally test them. Each player’s clock starts on receiving a signal about a payoff-relevant state variable. Since the timing of the signals is random, clocks are de-synchronized. A player must decide how long, if at all, to delay his move after receiving the signal. We show that (i) equilibrium is always characterized by strategic delay—regardless of whether moves are observable or not; (ii) delay decreases as clocks become more synchronized and increases as information becomes more concentrated; (iii) When moves are observable, players “herd” immediately after any player makes a move. We then show, in a series of experiments, that key predictions of the model are consistent with observed behavior.

Suggested Citation

  • Brunnermeier, Markus K & Morgan, John, 2006. "Clock Games: Theory and Experiments," Competition Policy Center, Working Paper Series qt9c11m09n, Competition Policy Center, Institute for Business and Economic Research, UC Berkeley.
  • Handle: RePEc:cdl:compol:qt9c11m09n
    as

    Download full text from publisher

    File URL: https://www.escholarship.org/uc/item/9c11m09n.pdf;origin=repeccitec
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. McKelvey, Richard D & Palfrey, Thomas R, 1992. "An Experimental Study of the Centipede Game," Econometrica, Econometric Society, vol. 60(4), pages 803-836, July.
    2. Hugo A. Hopenhayn & Francesco Squintani, 2011. "Preemption Games with Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(2), pages 667-692.
    3. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    4. Obstfeld, Maurice, 1996. "Models of currency crises with self-fulfilling features," European Economic Review, Elsevier, vol. 40(3-5), pages 1037-1047, April.
    5. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2008. "Rigging the lobbying process: An application of the all-pay auction," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 331-336, Springer.
    6. Michael H. Riordan, 1992. "Regulation and Preemptive Technology Adoption," RAND Journal of Economics, The RAND Corporation, vol. 23(3), pages 334-349, Autumn.
    7. Reinganum, Jennifer F., 1981. "Dynamic games of innovation," Journal of Economic Theory, Elsevier, vol. 25(1), pages 21-41, August.
    8. Chamley, Christophe & Gale, Douglas, 1994. "Information Revelation and Strategic Delay in a Model of Investment," Econometrica, Econometric Society, vol. 62(5), pages 1065-1085, September.
    9. Paul Klemperer & Jeremy Bulow, 1999. "The Generalized War of Attrition," American Economic Review, American Economic Association, vol. 89(1), pages 175-189, March.
    10. Abreu, Dilip & Brunnermeier, Markus K., 2002. "Synchronization risk and delayed arbitrage," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 341-360.
    11. C. Monica Capra, 1999. "Anomalous Behavior in a Traveler's Dilemma?," American Economic Review, American Economic Association, vol. 89(3), pages 678-690, June.
    12. Rosenthal, Robert W., 1981. "Games of perfect information, predatory pricing and the chain-store paradox," Journal of Economic Theory, Elsevier, vol. 25(1), pages 92-100, August.
    13. Antonio Cabrales & Rosemarie Nagel & Roc Armenter, 2007. "Equilibrium selection through incomplete information in coordination games: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 10(3), pages 221-234, September.
    14. Andreas Park & Lones Smith, 2004. "Caller Number Five: Timing Games that Morph From One Form to Another," 2004 Meeting Papers 871, Society for Economic Dynamics.
    15. Jianbo Zhang, 1997. "Strategic Delay and the Onset of Investment Cascades," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 188-205, Spring.
    16. Christopher Harris & John Vickers, 1985. "Perfect Equilibrium in a Model of a Race," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 193-209.
    17. Frank Heinemann & Rosemarie Nagel & Peter Ockenfels, 2004. "The Theory of Global Games on Test: Experimental Analysis of Coordination Games with Public and Private Information," Econometrica, Econometric Society, vol. 72(5), pages 1583-1599, September.
    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. Kang, Min Jeong & Camerer, Colin, 2018. "Measured anxiety affects choices in experimental “clock” games," Research in Economics, Elsevier, vol. 72(1), pages 49-64.
    2. Gallice, Andrea, 2008. "Preempting versus Postponing: the Stealing Game," MPRA Paper 10256, University Library of Munich, Germany.
    3. Brunnermeier, Markus K. & Morgan, John, 2010. "Clock games: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 68(2), pages 532-550, March.
    4. Matsushima, Hitoshi, 2013. "Behavioral aspects of arbitrageurs in timing games of bubbles and crashes," Journal of Economic Theory, Elsevier, vol. 148(2), pages 858-870.
    5. Hitoshi Matsushima, 2010. "Financing Harmful Bubbles," KIER Working Papers 711, Kyoto University, Institute of Economic Research.
    6. Hitoshi Matsushima, 2008. "Effects of Reputation in Bubbles and Crashes," CIRJE F-Series CIRJE-F-560, CIRJE, Faculty of Economics, University of Tokyo.
    7. Hitoshi Matsushima, 2008. "Effects of Reputation in Bubbles and Crashes ( Revised in April 2008 )," CARF F-Series CARF-F-121, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    8. Moinas, Sophie & Pouget, Sébastien, 2009. "Rational and Irrational Bubbles: an Experiment," TSE Working Papers 09-045, Toulouse School of Economics (TSE).
    9. Eric Rasmusen & Young-Ro Yoon, 2008. "First versus Second-Mover Advantage with Information Asymmetry about the Size of New Markets," Working Papers 2008-15, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.

    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. Brunnermeier, Markus K. & Morgan, John, 2010. "Clock games: Theory and experiments," Games and Economic Behavior, Elsevier, vol. 68(2), pages 532-550, March.
    2. repec:cdl:ucscec:qt81m0r0jj is not listed on IDEAS
    3. Olga Shurchkov, 2013. "Coordination and learning in dynamic global games: experimental evidence," Experimental Economics, Springer;Economic Science Association, vol. 16(3), pages 313-334, September.
    4. Brindisi, Francesco & Çelen, Boğaçhan & Hyndman, Kyle, 2014. "The effect of endogenous timing on coordination under asymmetric information: An experimental study," Games and Economic Behavior, Elsevier, vol. 86(C), pages 264-281.
    5. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.
    6. Camille Cornand, 2006. "Speculative Attacks and Informational Structure: an Experimental Study," Review of International Economics, Wiley Blackwell, vol. 14(5), pages 797-817, November.
    7. Strzalecki, Tomasz, 2014. "Depth of reasoning and higher order beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 108-122.
    8. Antonio Cabrales & Michalis Drouvelis & Zeynep Gurguy & Indrajit Ray, 2017. "Transparency is Overrated: Communicating in a Coordination Game with Private Information," CESifo Working Paper Series 6781, CESifo.
    9. Helland, Leif & Iachan, Felipe S. & Juelsrud, Ragnar E. & Nenov, Plamen T., 2021. "Information quality and regime change: Evidence from the lab," Journal of Economic Behavior & Organization, Elsevier, vol. 191(C), pages 538-554.
    10. Tan, Senren & Jin, Zhuo & Wu, Fuke, 2015. "Arbitrage and leverage strategies in bubbles under synchronization risks and noise-trader risks," Economic Modelling, Elsevier, vol. 49(C), pages 331-343.
    11. Francis Bloch & Simona Fabrizi & Steffen Lippert, 2015. "Learning and collusion in new markets with uncertain entry costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 273-303, February.
    12. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December.
    13. Andrea Gallice, 2008. "Preempting versus Postponing: the Stealing Game," ICER Working Papers 02-2008, ICER - International Centre for Economic Research.
    14. Cary D. Frydman & Salvatore Nunnari, 2021. "Coordination with Cognitive Noise," CESifo Working Paper Series 9483, CESifo.
    15. Anna Bayona & Oana Peia & Razvan Vlahu, 2023. "Credit Ratings and Investments," Working Papers 776, DNB.
    16. Shurchkov, Olga, 2016. "Public announcements and coordination in dynamic global games: Experimental evidence," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 61(C), pages 20-30.
    17. Lensberg, Terje & Schenk-Hoppé, Klaus Reiner, 2021. "Cold play: Learning across bimatrix games," Journal of Economic Behavior & Organization, Elsevier, vol. 185(C), pages 419-441.
    18. Külpmann, Philipp & Khantadze, Davit, 2016. "Identifying the reasons for coordination failure in a laboratory experiment," Center for Mathematical Economics Working Papers 567, Center for Mathematical Economics, Bielefeld University.
    19. Alexander Matros & Vladimir Smirnov & Andrew Wait, 2024. "Sunk costs, entry and clustering," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(3), pages 747-782, May.
    20. Frank Heinemann & Rosemarie Nagel & Peter Ockenfels, 2009. "Measuring Strategic Uncertainty in Coordination Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 181-221.
    21. Uwe Dulleck, 2007. "The E-Mail Game Revisited — Modeling Rough Inductive Reasoning," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 9(02), pages 323-339.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:cdl:compol:qt9c11m09n. 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: Lisa Schiff (email available below). General contact details of provider: https://edirc.repec.org/data/ibbrkus.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.