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Comparison of equilibrium actions and payoffs across players in games of strategic complements

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  • Natalia Lazzati

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    Abstract

    This paper provides sufficient conditions for comparing the choices of different players in games of strategic complements. The main results require a weak ordering relation on the best responses of players in the game and their constraint sets. Under additional restrictions, we can also compare their relative payoffs. We offer three applications of our idea to industrial organization and new models of behavioral economics. Specifically, we study horizontal mergers in oligopolies, competition among firms with differentiated demands and costs of production, and a model of biased perceptions. Copyright Springer-Verlag Berlin Heidelberg 2013

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    File URL: http://hdl.handle.net/10.1007/s00199-012-0736-9
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    Bibliographic Info

    Article provided by Springer in its journal Economic Theory.

    Volume (Year): 54 (2013)
    Issue (Month): 3 (November)
    Pages: 777-788

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    Handle: RePEc:spr:joecth:v:54:y:2013:i:3:p:777-788

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    Related research

    Keywords: Quasisupermodular games; Asymmetric equilibria; Single-crossing property; C72; D03;

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    1. Federico Echenique, 2002. "Comparative Statics by Adaptive Dynamics and the Correspondence Principle," Econometrica, Econometric Society, vol. 70(2), pages 833-844, March.
    2. John K.-H. Quah & Bruno Strulovici, 2009. "Comparative Statics, Informativeness, and the Interval Dominance Order," Econometrica, Econometric Society, vol. 77(6), pages 1949-1992, November.
    3. Elena Antoniadou, 2007. "Comparative Statics for the Consumer Problem," Economic Theory, Springer, vol. 31(1), pages 189-203, April.
    4. Rabah Amir, 2005. "Supermodularity and Complementarity in Economics: An Elementary Survey," Southern Economic Journal, Southern Economic Association, vol. 71(3), pages 636-660, January.
    5. Raymond Deneckere & Carl Davidson, 1985. "Incentives to Form Coalitions with Bertrand Competition," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 473-486, Winter.
    6. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
    7. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
    8. Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2007. "The Dynamic Evolution of Preferences," Economic Theory, Springer, vol. 32(2), pages 251-286, August.
    9. Kockesen, Levent & Ok, Efe A. & Sethi, Rajiv, 2000. "The Strategic Advantage of Negatively Interdependent Preferences," Journal of Economic Theory, Elsevier, vol. 92(2), pages 274-299, June.
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