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Heterogeneity and Uniqueness in Interaction Games

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Abstract

Incomplete information games, local interaction games and random matching games are all special cases of a general class of interaction games (Morris (1997)). In this paper, we use this equivalence to present a unified treatment of arguments generating uniqueness in games with strategic complementarities by introducing heterogeneity in these different settings. We also report on the relation between local and global heterogeneity, on the role of strategic multipliers and on purification in the three types of interaction game.

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  • Stephen Morris & Hyun Song Shin, 2003. "Heterogeneity and Uniqueness in Interaction Games," Cowles Foundation Discussion Papers 1402, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:1402
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    1. Blume Lawrence E., 1995. "The Statistical Mechanics of Best-Response Strategy Revision," Games and Economic Behavior, Elsevier, vol. 11(2), pages 111-145, November.
    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. Adsera, Alicia & Ray, Debraj, 1998. "History and Coordination Failure," Journal of Economic Growth, Springer, vol. 3(3), pages 267-276, September.
    6. Sandeep Baliga & Tomas Sjöström, 2004. "Arms Races and Negotiations," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 351-369.
    7. 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.
    8. David P Myatt & Chris Wallace, "undated". "Adaptive dynamics with payoff heterogeneit," Economics Papers W31., Economics Group, Nuffield College, University of Oxford.
    9. Morris, Stephen & Shin, Hyun Song, 2004. "Coordination risk and the price of debt," European Economic Review, Elsevier, vol. 48(1), pages 133-153, February.
    10. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275, Cowles Foundation for Research in Economics, Yale University.
    11. 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.
    12. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    13. Matsui Akihiko & Matsuyama Kiminori, 1995. "An Approach to Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 65(2), pages 415-434, April.
    14. Stephen Morris, "undated". "Interaction Games: A Unified Analysis of Incomplete Information, Local Interaction and Random Matching," Penn CARESS Working Papers 1879bf5487d743edef7f32bb2, Penn Economics Department.
    15. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
    16. Christina E. Metz, 2002. "Private and Public Information in Self-fulfilling Currency Crises," Journal of Economics, Springer, vol. 76(1), pages 65-85, May.
    17. 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.
    18. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-1071, September.
    19. Shin, Hyun Song & Morris, Stephen, 2000. "Welfare effects of public information," Discussion Paper Series 1: Economic Studies 2000,07, Deutsche Bundesbank.
    20. Edward L. Glaeser & Jose Scheinkman, 2000. "Non-Market Interactions," NBER Working Papers 8053, National Bureau of Economic Research, Inc.
    21. Antonio Ciccone & James Costain, 2004. "On payoff heterogeneity in games with strategic complementarities," Oxford Economic Papers, Oxford University Press, vol. 56(4), pages 701-713, October.
    22. 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.
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    Cited by:

    1. In-Ho Lee & Robin Mason, 2002. "Coordination in the static and the dynamic," Levine's Working Paper Archive 391749000000000503, David K. Levine.
    2. Salvador Ortigueira, 2013. "The Rise and Fall of Centralized Wage Bargaining," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(3), pages 825-855, July.
    3. Carlo Altomonte & Gloria Gennaro & Francesco Passarelli, 2019. "Collective Emotions and Protest Vote," CESifo Working Paper Series 7463, CESifo.
    4. Paul A. Grout & Sebastien Mitraille & Silvia Sonderegger, 2008. "The Costs and Benefits of "Strangers": Why Mixed Communities Are Better," The Centre for Market and Public Organisation 08/191, The Centre for Market and Public Organisation, University of Bristol, UK.
    5. Ulrich Horst & Jos´e A. Scheinkman, 2006. "A Limit Theorem for Systems of Social Interactions," Levine's Bibliography 321307000000000177, UCLA Department of Economics.
    6. Xue, J., 2006. "Collective Behavior with Endogenous Thresholds," Cambridge Working Papers in Economics 0613, Faculty of Economics, University of Cambridge.
    7. Campos, Rodolfo G., 2013. "Risk-sharing and crises. Global games of regime change with endogenous wealth," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1624-1658.
    8. Stephen Morris & Hyun Song Shin, 2006. "Endogenous Public Signals and Coordination," Levine's Bibliography 122247000000001309, UCLA Department of Economics.

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    More about this item

    Keywords

    Heterogeneity; Uniqueness; Global games;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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