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Comparative statics in a simple class of strategic market games

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  • Amir, Rabah
  • Bloch, Francis

Abstract

This paper investigates the effects of entry in two-sided markets where buyers and sellers act strategically. Applying new tools from supermodular optimization/games, sufficient conditions for different comparative statics results are obtained. While normality of one good is sufficient for the equilibrium price to be increasing in the number of buyers, normality of both goods is required for equilibrium bids and sellers' equilibrium utilities to be increasing in the number of buyers. When the economy is replicated, normality of both goods and gross substitutes guarantee that the equilibrium of the strategic market game converges monotonically (in quantities) to the competitive equilibrium. Simple counter-examples are provided to settle other potential conjectures of interest.

Suggested Citation

  • Amir, Rabah & Bloch, Francis, 2009. "Comparative statics in a simple class of strategic market games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 7-24, January.
  • Handle: RePEc:eee:gamebe:v:65:y:2009:i:1:p:7-24
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Ludovic Alexandre Julien, 2017. "Hierarchical competition and heterogeneous behavior in noncooperative oligopoly markets," EconomiX Working Papers 2017-22, University of Paris Nanterre, EconomiX.
    2. Faias, Marta & Moreno, Emma & Wooders, Myrna, 2009. "A Strategic market game approach for the private provision of public goods," MPRA Paper 37777, University Library of Munich, Germany, revised 08 Mar 2012.
    3. Funaki, Y. & Houba, H.E.D. & Motchenkova, E., 2012. "Market Power in Bilateral Oligopoly Markets with Nonexpendable Infrastructure," Discussion Paper 2012-041, Tilburg University, Tilburg Law and Economic Center.
    4. Codognato, Giulio & Ghosal, Sayantan & Tonin, Simone, 2015. "Atomic Cournotian traders may be Walrasian," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 1-14.
    5. Ludovic A. Julien, 2015. "A note on market power in bilateral oligopoly," Economics Bulletin, AccessEcon, vol. 35(1), pages 400-406.
    6. Alex Dickson, 2013. "The Effects of Entry in Bilateral Oligopoly," Games, MDPI, Open Access Journal, vol. 4(3), pages 1-21, June.
    7. Zissimos, Ben, 2009. "Optimum tariffs and retaliation: How country numbers matter," Journal of International Economics, Elsevier, vol. 78(2), pages 276-286, July.
    8. Dmitry Levando, 2012. "A Survey Of Strategic Market Games," Economic Annals, Faculty of Economics, University of Belgrade, vol. 57(194), pages 63-106, July - Se.
    9. Alex Dickson, 2017. "Multiple-aggregate games," Working Papers 1701, University of Strathclyde Business School, Department of Economics.

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