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Preopening and equilibrium selection

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  • Lovo, Stefano

    ()

  • Calcagno, Ricardo

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Abstract

In this paper, the authors introduce a form of pre-play communication that we call "preopening". During the preopening, players announce their tentative actions to be played in the underlying game. Announcements are made using a posting system which is subject to stochastic failures. Posted actions are publicly observable and players payo¤s only depend on the opening outcome, i.e. the action pro…le that is posted at the end of the preopening phase. We show that when the posting failures hit players idiosyncratically all equilibria of the preopening game lead to the same opening outcome that corresponds to the most "sensible" pure Nash equilibrium of the underlying game. By contrast preopening does not operate an equilibrium selection when posting failure hits players simultaneously.

Suggested Citation

  • Lovo, Stefano & Calcagno, Ricardo, 2010. "Preopening and equilibrium selection," HEC Research Papers Series 927, HEC Paris.
  • Handle: RePEc:ebg:heccah:0927
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    References listed on IDEAS

    as
    1. Crawford, Vincent P., 2017. "Let׳s talk it over: Coordination via preplay communication with level-k thinking," Research in Economics, Elsevier, vol. 71(1), pages 20-31.
    2. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
      • Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2002.
    3. Rabin Matthew, 1994. "A Model of Pre-game Communication," Journal of Economic Theory, Elsevier, vol. 63(2), pages 370-391, August.
    4. Crawford, Vincent P, 1995. "Adaptive Dynamics in Coordination Games," Econometrica, Econometric Society, vol. 63(1), pages 103-143, January.
    5. van Damme, Eric & Hurkens, Sjaak, 1996. "Commitment Robust Equilibria and Endogenous Timing," Games and Economic Behavior, Elsevier, vol. 15(2), pages 290-311, August.
    6. Banerjee, Abhijit & Weibull, Jorgen W., 2000. "Neutrally Stable Outcomes in Cheap-Talk Coordination Games," Games and Economic Behavior, Elsevier, vol. 32(1), pages 1-24, July.
    7. Bruno Biais & Christophe Bisière & Sébastien Pouget, 2014. "Equilibrium Discovery and Preopening Mechanisms in an Experimental Market," Management Science, INFORMS, vol. 60(3), pages 753-769, March.
    8. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    9. Guillermo Caruana & Liran Einav, 2008. "A Theory of Endogenous Commitment," Review of Economic Studies, Oxford University Press, vol. 75(1), pages 99-116.
    10. Joseph Farrell, 1987. "Cheap Talk, Coordination, and Entry," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 34-39, Spring.
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    Citations

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    Cited by:

    1. Calcagno, Riccardo & Kamada, Yuichiro & Lovo, Stefano & Sugaya, Takuo, 2014. "Asynchronicity and coordination in common and opposing interest games," Theoretical Economics, Econometric Society, vol. 9(2), May.
    2. Roy, Nilanjan, 2017. "Action revision, information and collusion in an experimental duopoly market," MPRA Paper 77033, University Library of Munich, Germany.
    3. Ruben Juarez & Rajnish Kumar, 2013. "Implementing efficient graphs in connection networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(2), pages 359-403, October.
    4. Dutta, Prajit K., 2012. "Coordination need not be a problem," Games and Economic Behavior, Elsevier, vol. 76(2), pages 519-534.
    5. Selma Boussetta & Laurance Lescourret & Sophie Moinas, 2018. "The Role of Pre-Opening Mechanisms in Fragmented Markets," EconPol Working Paper 12, ifo Institute - Leibniz Institute for Economic Research at the University of Munich.

    More about this item

    Keywords

    Preopening; equilibrium selection; bargaining; cheap talk;

    JEL classification:

    • 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
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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