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Does Bargaining Matter in the Small Firm's Matching Model?

Author

Listed:
  • Olivier L'Haridon

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

  • Franck Malherbet

    (CECO - Laboratoire d'économétrie de l'École polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

  • Sébastien Pérez-Duarte

Abstract

In this article, we use a stylized model of the labor market to investigate the effects of three alternative and well-known bargaining solutions. We apply the Nash, the Egalitarian and the Kalai-Smorodinsky bargaining solutions in the small firm's matching model of unemployment. To the best of our knowledge, this is the first attempt that has been made to implement and systematically compare these solutions in search-matching economies. Our results are twofold. First from the theoretical/methodological viewpoint, we extend a somewhat flexible search-matching economy to alternative bargaining solutions. In particular, we prove that the Egalitarian and the Kalai -Smorodinsky solutions are easily implementable and mathematically tractable within search-matching economies. Second, our results show that even though the traditional results of bargaining theory apply in this context, they are generally qualitatively different and quantitatively weaker than expected. This is of particular relevance in comparison with the results established in the earlier literature.

Suggested Citation

  • Olivier L'Haridon & Franck Malherbet & Sébastien Pérez-Duarte, 2010. "Does Bargaining Matter in the Small Firm's Matching Model?," Working Papers hal-00540792, HAL.
    • Handle: RePEc:hal:wpaper:hal-00540792
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    2. Laurence Jacquet & Etienne Lehmann & Bruno Linden, 2014. "Optimal income taxation with Kalai wage bargaining and endogenous participation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 381-402, February.
    3. Claus‐Jochen Haake & Thorsten Upmann & Papatya Duman, 2023. "Wage bargaining and employment revisited: separability and efficiency in collective bargaining," Scandinavian Journal of Economics, Wiley Blackwell, vol. 125(2), pages 403-440, April.
    4. Bruno Jacquet & Etienne Lehmann & Bruno Van der Linden, 2011. "Optimal Redistributive Taxation with both Labor Supply and Labor Demand Responses," Working Papers 2011-15, Center for Research in Economics and Statistics.
    5. Robin Boadway & Katherine Cuff, 2018. "Optimal unemployment insurance and redistribution," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(3), pages 303-324, June.
    6. Lv, Wei & Li, Hongyi & Tang, Jiafu, 2017. "Bargaining model of labor disputes considering social mediation and bounded rationalityAuthor-Name: Liu, Dehai," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1064-1071.
    7. Claus-Jochen Haake & Thorsten Upmann & Papatya Duman, 2019. "The Decomposability of the Nash Bargaining Solution in Labor Markets," Working Papers CIE 128, Paderborn University, CIE Center for International Economics.
    8. Claus-Jochen Haake & Thorsten Upmann & Papatya Duman, 2020. "Wage Bargaining and Employment Revisited: Separability and Efficiency in Collective Bargaining," CESifo Working Paper Series 8422, CESifo.
    9. Dittrich, Marcus & Städter, Silvio, 2015. "Moral hazard and bargaining over incentive contracts," Research in Economics, Elsevier, vol. 69(1), pages 75-85.

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    More about this item

    Keywords

    Search and matching models; Bargaining theory; Nash; Egalitarian; Kalai-Smorodinsky;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • J20 - Labor and Demographic Economics - - Demand and Supply of Labor - - - General
    • J60 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - General

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