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On the (non) existence of a price equilibrium in delegation games with relative performance compensation

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  • M. Kopel
  • L. Lambertini

Abstract

We show that Miller and Pazgal.s (2001) model of strategic delegation, in which managerial incentives are based upon relative performance, is affected by a non-existence problem which has impact on the price equilibrium. The undercutting incentives generating this result are indeed similar to those affecting the stability of price cartels.

Suggested Citation

  • M. Kopel & L. Lambertini, 2012. "On the (non) existence of a price equilibrium in delegation games with relative performance compensation," Working Papers wp807, Dipartimento Scienze Economiche, Universita' di Bologna.
    • Handle: RePEc:bol:bodewp:wp807
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    References listed on IDEAS

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    1. Matthew J. Clayton & Bjorn N. Jorgensen, 2005. "Optimal Cross Holding with Externalities and Strategic Interactions," The Journal of Business, University of Chicago Press, vol. 78(4), pages 1505-1522, July.
    2. J. W. Friedman, 1968. "Reaction Functions and the Theory of Duopoly," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(3), pages 257-272.
    3. Ritz, Robert A., 2008. "Strategic incentives for market share," International Journal of Industrial Organization, Elsevier, vol. 26(2), pages 586-597, March.
    4. Miller, Nolan H & Pazgal, Amit I, 2001. "The Equivalence of Price and Quantity Competition with Delegation," RAND Journal of Economics, The RAND Corporation, vol. 32(2), pages 284-301, Summer.
    5. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
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    Cited by:

    1. Fanti, Luciano & Gori, Luca & Mammana, Cristiana & Michetti, Elisabetta, 2014. "Local and global dynamics in a duopoly with price competition and market share delegation," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 253-270.
    2. Fanti, Luciano & Gori, Luca & Sodini, Mauro, 2012. "Nonlinear dynamics in a Cournot duopoly with relative profit delegation," Chaos, Solitons & Fractals, Elsevier, vol. 45(12), pages 1469-1478.

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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