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Dynamic coordination among heterogeneous agents

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  • Guimaraes, Bernardo
  • Pereira, Ana Elisa

Abstract

We study a dynamic model of coordination with timing frictions and payoff heterogeneity. There is a unique equilibrium, characterized by thresholds that determine the choices of each type of agent. We characterize equilibrium for the limiting cases of vanishing timing frictions and vanishing shocks to fundamentals. A lot of conformity emerges: despite payoff heterogeneity, agents’ equilibrium thresholds partially coincide as long as a set of beliefs that would make this coincidence possible exists. However, the equilibrium thresholds never fully coincide. In case of vanishing frictions, the economy behaves almost as if all agents were equal to an average type. Conformity is not inefficient. In the efficient solution, agents follow others even more often.

Suggested Citation

  • Guimaraes, Bernardo & Pereira, Ana Elisa, 2017. "Dynamic coordination among heterogeneous agents," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 13-33.
  • Handle: RePEc:eee:mateco:v:73:y:2017:i:c:p:13-33
    DOI: 10.1016/j.jmateco.2017.08.003
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    as
    1. 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.
    2. 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.
    3. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    4. Burdzy, Krzysztof & Frankel, David M & Pauzner, Ady, 2001. "Fast Equilibrium Selection by Rational Players Living in a Changing World," Econometrica, Econometric Society, vol. 69(1), pages 163-189, January.
    5. Dong Beom Choi, 2014. "Heterogeneity and Stability: Bolster the Strong, Not the Weak," The Review of Financial Studies, Society for Financial Studies, vol. 27(6), pages 1830-1867.
    6. Guimaraes, Bernardo & Morris, Stephen, 2007. "Risk and wealth in a model of self-fulfilling currency attacks," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2205-2230, November.
    7. József Sákovics & Jakub Steiner, 2012. "Who Matters in Coordination Problems?," American Economic Review, American Economic Association, vol. 102(7), pages 3439-3461, December.
    8. Berthold Herrendorf & Akos Valentinyi & Robert Waldmann, 2000. "Ruling Out Multiplicity and Indeterminacy: The Role of Heterogeneity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 295-307.
    9. repec:hrv:faseco:4589709 is not listed on IDEAS
    10. Guimaraes, Bernardo & Machado, Caio, 2013. "Demand expectations and the timing of stimulus policies," MPRA Paper 48895, University Library of Munich, Germany.
    11. David, Paul A, 1985. "Clio and the Economics of QWERTY," American Economic Review, American Economic Association, vol. 75(2), pages 332-337, May.
    12. Goldstein, Itay & Pauzner, Ady, 2004. "Contagion of self-fulfilling financial crises due to diversification of investment portfolios," Journal of Economic Theory, Elsevier, vol. 119(1), pages 151-183, November.
    13. Oz Shy, 2011. "A Short Survey of Network Economics," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 38(2), pages 119-149, March.
    14. Frankel David M & Burdzy Krzysztof, 2005. "Shocks and Business Cycles," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 5(1), pages 1-88, March.
    15. Bikhchandani, Sushil & Hirshleifer, David & Welch, Ivo, 1992. "A Theory of Fads, Fashion, Custom, and Cultural Change in Informational Cascades," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 992-1026, October.
    16. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818742.
    17. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524117.
    18. Zhiguo He & Wei Xiong, 2012. "Dynamic Debt Runs," The Review of Financial Studies, Society for Financial Studies, vol. 25(6), pages 1799-1843.
    19. Attila Ambrus & Rossella Argenziano, 2009. "Asymmetric Networks in Two-Sided Markets," American Economic Journal: Microeconomics, American Economic Association, vol. 1(1), pages 17-52, February.
    20. Guimaraes, Bernardo, 2006. "Dynamics of currency crises with asset market frictions," Journal of International Economics, Elsevier, vol. 68(1), pages 141-158, January.
    21. Rossella Argenziano, 2008. "Differentiated networks: equilibrium and efficiency," RAND Journal of Economics, RAND Corporation, vol. 39(3), pages 747-769, September.
    22. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    23. Morris, Stephen, 2014. "Coordination, timing and common knowledge," Research in Economics, Elsevier, vol. 68(4), pages 306-314.
    24. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818735.
    25. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524124.
    26. Itay Goldstein, 2005. "Strategic Complementarities and the Twin Crises," Economic Journal, Royal Economic Society, vol. 115(503), pages 368-390, April.
    27. 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.
    28. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    29. David Frankel & Ady Pauzner, 2000. "Resolving Indeterminacy in Dynamic Settings: The Role of Shocks," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 285-304.
    30. Kiminori Matsuyama, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 617-650.
    31. Tijmen Daniëls, 2009. "Unique Equilibrium in a Dynamic Model of Speculative Attacks," De Economist, Springer, vol. 157(4), pages 417-439, December.
    32. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521818728.
    33. Katz, Michael L & Shapiro, Carl, 1986. "Technology Adoption in the Presence of Network Externalities," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 822-841, August.
    34. Frankel, David M. & Pauzner, Ady, 2002. "Expectations and the Timing of Neighborhood Change," Journal of Urban Economics, Elsevier, vol. 51(2), pages 295-314, March.
    35. Dewatripont,Mathias & Hansen,Lars Peter & Turnovsky,Stephen J. (ed.), 2003. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9780521524131.
    36. Sandholm, William H., 2001. "Potential Games with Continuous Player Sets," Journal of Economic Theory, Elsevier, vol. 97(1), pages 81-108, March.
    37. Guimaraes, Bernardo & Pereira, Ana Elisa, 2016. "QWERTY is efficient," Journal of Economic Theory, Elsevier, vol. 163(C), pages 819-825.
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    3. Bernardo Guimaraes & Caio Machado & Ana E. Pereira, 2020. "Dynamic coordination with timing frictions: Theory and applications," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 656-697, June.
    4. Guimaraes, Bernardo & Pereira, Ana Elisa, 2016. "QWERTY is efficient," Journal of Economic Theory, Elsevier, vol. 163(C), pages 819-825.

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