IDEAS home Printed from https://ideas.repec.org/p/pri/metric/069_2015.html
   My bibliography  Save this paper

Common Belief Foundations of Global Games

Author

Listed:
  • Stephen Morris

    (Princeton University)

  • Hyun Song Shin

    (Bank for International Settlements)

  • Muhamet Yildiz

    (M.I.T.)

Abstract

We study coordination games under general type spaces. We characterize rationalizable actions in terms of the properties of the belief hierarchies and show that there is a unique rationalizable action played whenever there is approximate common certainty of rank beliefs, defined as the probability the players assign to their payoff parameters being higher than their opponents'. We argue that this is the driving force behind selection results for the specific type spaces in the global games literature.

Suggested Citation

  • Stephen Morris & Hyun Song Shin & Muhamet Yildiz, 2015. "Common Belief Foundations of Global Games," Working Papers 069_2015, Princeton University, Department of Economics, Econometric Research Program..
  • Handle: RePEc:pri:metric:069_2015
    as

    Download full text from publisher

    File URL: http://detc.princeton.edu/wp-content/uploads/2016/11/wp069_2015-revised-Nov2015_Morris_Shin_Yildiz_Common-Belief-Foundations.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Van Zandt, Timothy, 2010. "Interim Bayesian Nash equilibrium on universal type spaces for supermodular games," Journal of Economic Theory, Elsevier, vol. 145(1), pages 249-263, January.
    2. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    3. Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003. "Equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 1-44, January.
    4. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    5. Sergei Izmalkov & Muhamet Yildiz, 2010. "Investor Sentiments," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 21-38, February.
    6. Laurent Mathevet, 2010. "A contraction principle for finite global games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 539-563, March.
    7. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728, January.
    8. Aviad Heifetz & Zvika Neeman, 2006. "On the Generic (Im)Possibility of Full Surplus Extraction in Mechanism Design," Econometrica, Econometric Society, vol. 74(1), pages 213-233, January.
    9. Mathias Dewatripont & Lars Peter Hansen & Stephen Turnovsky, 2003. "Advances in Economics and Econometrics: Theory and Applications, Eighth World Congress," ULB Institutional Repository 2013/176002, ULB -- Universite Libre de Bruxelles.
    10. Stephen Morris & Hyun Song Shin, 2012. "Contagious Adverse Selection," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(1), pages 1-21, January.
    11. Morris, Stephen & Shin, Hyun Song, 2004. "Coordination risk and the price of debt," European Economic Review, Elsevier, vol. 48(1), pages 133-153, February.
    12. Van Zandt, Timothy & Vives, Xavier, 2007. "Monotone equilibria in Bayesian games of strategic complementarities," Journal of Economic Theory, Elsevier, vol. 134(1), pages 339-360, May.
    13. Jonathan Weinstein & Muhamet Yildiz, 2007. "A Structure Theorem for Rationalizability with Application to Robust Predictions of Refinements," Econometrica, Econometric Society, vol. 75(2), pages 365-400, March.
    14. Guillaume Plantin & Haresh Sapra & Hyun Song Shin, 2008. "Marking‐to‐Market: Panacea or Pandora's Box?," Journal of Accounting Research, Wiley Blackwell, vol. 46(2), pages 435-460, May.
    15. Mason, Robin & Valentinyi, Ã kos, 2007. "The existence and uniqueness of monotone pure strategy equilibrium in Bayesian games," Discussion Paper Series In Economics And Econometrics 0710, Economics Division, School of Social Sciences, University of Southampton.
    16. Morris, Stephen, 2014. "Coordination, timing and common knowledge," Research in Economics, Elsevier, vol. 68(4), pages 306-314.
    17. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131, January.
    18. Rossella Argenziano, 2008. "Differentiated networks: equilibrium and efficiency," RAND Journal of Economics, RAND Corporation, vol. 39(3), pages 747-769.
    19. Michael Woodford, 2005. "Central bank communication and policy effectiveness," Proceedings - Economic Policy Symposium - Jackson Hole, Federal Reserve Bank of Kansas City, issue Aug, pages 399-474.
    20. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2003. "Coordination and Policy Traps," NBER Working Papers 9767, National Bureau of Economic Research, Inc.
    21. Stephen Morris & Hyun Song Shin, 2001. "Rethinking Multiple Equilibria in Macroeconomic Modeling," NBER Chapters, in: NBER Macroeconomics Annual 2000, Volume 15, pages 139-182, National Bureau of Economic Research, Inc.
    22. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742, January.
    23. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117, January.
    24. Hellwig, Christian, 2002. "Public Information, Private Information, and the Multiplicity of Equilibria in Coordination Games," Journal of Economic Theory, Elsevier, vol. 107(2), pages 191-222, December.
    25. Aleh Tsyvinski & Arijit Mukherji & Christian Hellwig, 2006. "Self-Fulfilling Currency Crises: The Role of Interest Rates," American Economic Review, American Economic Association, vol. 96(5), pages 1769-1787, December.
    26. Atsushi Kajii & Stephen Morris, 1997. "The Robustness of Equilibria to Incomplete Information," Econometrica, Econometric Society, vol. 65(6), pages 1283-1310, November.
    27. Iván Werning & George-Marios Angeletos, 2006. "Crises and Prices: Information Aggregation, Multiplicity, and Volatility," American Economic Review, American Economic Association, vol. 96(5), pages 1720-1736, December.
    28. Morris, Stephen & Shin, Hyun Song & Yildiz, Muhamet, 2016. "Common belief foundations of global games," Journal of Economic Theory, Elsevier, vol. 163(C), pages 826-848.
    29. Rossella Argenziano, 2008. "Differentiated networks: equilibrium and efficiency," RAND Journal of Economics, RAND Corporation, vol. 39(3), pages 747-769, September.
    30. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    31. , & , & ,, 2007. "Interim correlated rationalizability," Theoretical Economics, Econometric Society, vol. 2(1), pages 15-40, March.
    32. Kurz, Mordecai, 2008. "Beauty contests under private information and diverse beliefs: How different?," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 762-784, July.
    33. Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
    34. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    35. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735, January.
    36. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124, January.
    37. Mathias Dewatripont & Lars Peter Hansen & Stephen Turnovsky, 2003. "Advances in economics and econometrics :theory and applications," ULB Institutional Repository 2013/9557, ULB -- Universite Libre de Bruxelles.
    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. Mathevet, Laurent, 2014. "Beliefs and rationalizability in games with complementarities," Games and Economic Behavior, Elsevier, vol. 85(C), pages 252-271.
    2. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2007. "Dynamic Global Games of Regime Change: Learning, Multiplicity, and the Timing of Attacks," Econometrica, Econometric Society, vol. 75(3), pages 711-756, May.
    3. Jean-Pierre Allegret & Camille Cornand, 2006. "The pros and cons of higher transparency: the case of speculative attacks," Recherches économiques de Louvain, De Boeck Université, vol. 72(3), pages 215-246.
    4. 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.
    5. Piersanti, Giovanni, 2012. "The Macroeconomic Theory of Exchange Rate Crises," OUP Catalogue, Oxford University Press, number 9780199653126, Decembrie.
    6. Zwart, Sanne, 2007. "The mixed blessing of IMF intervention: Signalling versus liquidity support," Journal of Financial Stability, Elsevier, vol. 3(2), pages 149-174, July.
    7. Christian Hellwig, 2004. "Self-Fulfilling Currency Crises: The Role of Interest Rates (A.E.R., December 2006)," UCLA Economics Online Papers 338, UCLA Department of Economics.
    8. Stephen Morris & Ming Yang, 2016. "Coordination and Continuous Choice," Working Papers 087_2017, Princeton University, Department of Economics, Econometric Research Program..
    9. , & ,, 2013. "Selection-free predictions in global games with endogenous information and multiple equilibria," Theoretical Economics, Econometric Society, vol. 8(3), September.
    10. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2006. "Signaling in a Global Game: Coordination and Policy Traps," Journal of Political Economy, University of Chicago Press, vol. 114(3), pages 452-484, June.
    11. Pekka Sääskilahti, 2016. "Buying Decision Coordination and Monopoly Pricing of Network Goods," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 25(2), pages 313-333, April.
    12. Aleh Tsyvinski & Arijit Mukherji & Christian Hellwig, 2006. "Self-Fulfilling Currency Crises: The Role of Interest Rates," American Economic Review, American Economic Association, vol. 96(5), pages 1769-1787, December.
    13. Mason, Robin & Valentinyi, Ã kos, 2007. "The existence and uniqueness of monotone pure strategy equilibrium in Bayesian games," Discussion Paper Series In Economics And Econometrics 0710, Economics Division, School of Social Sciences, University of Southampton.
    14. Xuewen Liu, 2015. "Short-Selling Attacks and Creditor Runs," Management Science, INFORMS, vol. 61(4), pages 814-830, April.
    15. Christian Hellwig, 2004. "Heterogeneous Information and the Benefits of Public Information Disclosures (October 2005)," UCLA Economics Online Papers 283, UCLA Department of Economics.
    16. Chassang, Sylvain, 2008. "Uniform selection in global games," Journal of Economic Theory, Elsevier, vol. 139(1), pages 222-241, March.
    17. Chen, Yi-Chun & Takahashi, Satoru & Xiong, Siyang, 2014. "The robust selection of rationalizability," Journal of Economic Theory, Elsevier, vol. 151(C), pages 448-475.
    18. Camille Cornand & Frank Heinemann, 2009. "Speculative Attacks with Multiple Sources of Public Information," Scandinavian Journal of Economics, Wiley Blackwell, vol. 111(1), pages 73-102, March.
    19. Goldstein, Itay & Razin, Assaf, 2015. "Three Branches of Theories of Financial Crises," Foundations and Trends(R) in Finance, now publishers, vol. 10(2), pages 113-180, 30.
    20. Guimaraes, Bernardo & Pereira, Ana Elisa, 2017. "Dynamic coordination among heterogeneous agents," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 13-33.

    More about this item

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pri:metric:069_2015. 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: Bobray Bordelon (email available below). General contact details of provider: https://edirc.repec.org/data/exprius.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.