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Profit sharing in unique Nash equilibrium: Characterization in the two-agent case

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Abstract

Two agents jointly operate a decreasing marginal returns technology to produce a private good. We characterize the class of output-sharing rules for which the labor-supply game has a unique Nash equilibrium. It consists of two families: rules of the serial type which protect a small user from the negative externality imposed by a large user, and rules of the reverse serial type, where one agent effectively employs the other agent’s labor. Exactly two rules satisfy symmetry; a result in sharp contrast with Moulin and Shenker’s (Econometrica, 1992) characterization of their serial mechanism as the unique cost-sharing rule satisfying the same incentives property. We also show that the familiar stand alone test characterizes the class of fixed-path methods (Friedman, Economic Theory, 2002) under our incentives criterion.

Suggested Citation

  • Justin Leroux, 2006. "Profit sharing in unique Nash equilibrium: Characterization in the two-agent case," Cahiers de recherche 06-11, HEC Montréal, Institut d'économie appliquée.
    • Handle: RePEc:iea:carech:0611
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    1. Moulin, Herve, 2002. "Axiomatic cost and surplus sharing," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 6, pages 289-357, Elsevier.
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    Cited by:

    1. Beviá, Carmen & Corchón, Luis C., 2009. "Cooperative production and efficiency," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 143-154, March.
    2. Kumar, Rajnish, 2013. "Secure implementation in production economies," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 372-378.
    3. He Liu & Yun Bai & Zhiguang Huang & Han Qiao & Shouyang Wang, 2023. "Private banking development in China under two organizational structures: Economic analysis from an organizational innovation perspective," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-23, December.
    4. repec:bla:annpce:v:89:y:2018:i:1:p:87-107 is not listed on IDEAS

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    More about this item

    Keywords

    Joint production; serial rule; decreasing serial rule; strategyproofness.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • D62 - Microeconomics - - Welfare Economics - - - Externalities

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