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A Global Game with Strategic Substitutes and Complements: Note

Author

Listed:
  • Eric Hoffmann

    (Department of Economics, The University of Kansas)

  • Tarun Sabarwal

    (Department of Economics, University of Kansas)

Abstract

In a 2007 paper, “A global game with strategic substitutes and complements”, by Karp, L., I.H. Lee, and R. Mason, Games and Economic Behavior, 60(1), 155-175, an argument is made to show existence of Bayesian-Nash equilibrim in global games that may include both strategic substitutes and complements. This note documents a gap in the proof of that statement and presents an alternative proof for a finite player version of their model.

Suggested Citation

  • Eric Hoffmann & Tarun Sabarwal, 2015. "A Global Game with Strategic Substitutes and Complements: Note," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201409, University of Kansas, Department of Economics.
    • Handle: RePEc:kan:wpaper:201409
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    File URL: http://www2.ku.edu/~kuwpaper/2014Papers/201409.pdf
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    References listed on IDEAS

    as
    1. Roy, Sunanda & Sabarwal, Tarun, 2012. "Characterizing stability properties in games with strategic substitutes," Games and Economic Behavior, Elsevier, vol. 75(1), pages 337-353.
    2. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    3. Karp, Larry & Lee, In Ho & Mason, Robin, 2007. "A global game with strategic substitutes and complements," Games and Economic Behavior, Elsevier, vol. 60(1), pages 155-175, July.
    4. Andrew J. Monaco & Tarun Sabarwal, 2016. "Games with strategic complements and substitutes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 65-91, June.
    5. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    6. Erik J. Balder, 1988. "Generalized Equilibrium Results for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 13(2), pages 265-276, May.
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    Cited by:

    1. Eric J. Hoffmann & Tarun Sabarwal, 2019. "Equilibrium existence in global games with general payoff structures," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 105-115, May.
    2. Lee, Kyounghun & Oh, Frederick Dongchuhl, 2021. "The role of large players in global games with strategic complements and substitutes," Economics Letters, Elsevier, vol. 198(C).

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    More about this item

    Keywords

    Global games; strategic complements; strategic substitutes; monotone games; equilibrium selection;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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