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Does Bargaining Matter in the Small Firm Matching Model?

Listed author(s):
  • L'Haridon, Olivier

    ()

    (HEC Paris)

  • Malherbet, Franck

    ()

    (CREST (ENSAE))

  • Pérez-Duarte, Sébastien

    ()

    (European Central Bank)

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.

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Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 5181.

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Length: 42 pages
Date of creation: Sep 2010
Publication status: published in: Labour Economics, 2013, 21, 42-58
Handle: RePEc:iza:izadps:dp5181
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  1. Kenneth Burdett & Randall Wright, 1994. "Two-sided search," Staff Report 169, Federal Reserve Bank of Minneapolis.
  2. Pierre Cahuc & Fabien Postel-Vinay & Jean-Marc Robin, 2003. "Wage bargaining with on-the-job search : theory and evidence," Research Unit Working Papers 0212, Laboratoire d'Economie Appliquee, INRA.
  3. Robert E. Hall & Paul R. Milgrom, 2005. "The Limited Influence of Unemployment on the Wage Bargain," NBER Working Papers 11245, National Bureau of Economic Research, Inc.
  4. Miyagawa, Eiichi, 2002. "Subgame-perfect implementation of bargaining solutions," Games and Economic Behavior, Elsevier, vol. 41(2), pages 292-308, November.
  5. Guy Laroque & Bernard Salanié, 2002. "Salaire minimum et emploi en presence de négociations salariales," Working Papers 2002-10, Centre de Recherche en Economie et Statistique.
  6. Mortensen, Dale T. & Pissarides, Christopher A., 1999. "New developments in models of search in the labor market," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 39, pages 2567-2627 Elsevier.
  7. Etienne Lehmann & Bruno Van Der Linden, 2007. "On the Optimality of Search Matching Equilibrium When Workers Are Risk Averse," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(5), pages 867-884, October.
  8. Mortensen, Dale & Pissarides, Christopher, 2011. "Job Creation and Job Destruction in the Theory of Unemployment," Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 1, pages 1-19.
  9. Fredriksson, Peter & Holmlund, Bertil, 2001. "Optimal Unemployment Insurance in Search Equilibrium," Journal of Labor Economics, University of Chicago Press, vol. 19(2), pages 370-399, April.
  10. Jung, Philip & Kuester, Keith, 2011. "Optimal Labor-Market Policy in Recessions," Working Papers 11-1, University of Mannheim, Department of Economics.
  11. Boragan Aruoba, S. & Rocheteau, Guillaume & Waller, Christopher, 2007. "Bargaining and the value of money," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2636-2655, November.
  12. Raj Chetty, 2003. "A New Method of Estimating Risk Aversion," NBER Working Papers 9988, National Bureau of Economic Research, Inc.
  13. Moulin, H., 1984. "Implementing the Kalai-Smorodinsky bargaining solution," Journal of Economic Theory, Elsevier, vol. 33(1), pages 32-45, June.
  14. Gerber, Anke & Upmann, Thorsten, 2006. "Bargaining solutions at work: Qualitative differences in policy implications," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 162-175, September.
  15. Melvyn Coles & Adrian Masters, 2006. "Optimal Unemployment Insurance in a Matching Equilibrium," Journal of Labor Economics, University of Chicago Press, vol. 24(1), pages 109-138, January.
  16. Bonilla Roberto & Burdett Kenneth, 2010. "On-the-Job Search and Labor Market Equilibrium," The B.E. Journal of Macroeconomics, De Gruyter, vol. 10(1), pages 1-28, March.
  17. Shimer, Robert, 2006. "On-the-job search and strategic bargaining," European Economic Review, Elsevier, vol. 50(4), pages 811-830, May.
  18. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
  19. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  20. Chun, Youngsub, 1988. "The equal-loss principle for bargaining problems," Economics Letters, Elsevier, vol. 26(2), pages 103-106.
  21. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284 Elsevier.
  22. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
  23. Marcus Dittrich, 2010. "Minimum Wages and Unemployment Benefits in a Unionized Economy: A Game-Theoretic Approach," Annals of Economics and Finance, Society for AEF, vol. 11(2), pages 209-229, November.
  24. repec:adr:anecst:y:2004:i:73:p:01 is not listed on IDEAS
  25. Christopher Bruce & Jeremy Clark, 2012. "The Impact Of Entitlements And Equity On Cooperative Bargaining: An Experiment," Economic Inquiry, Western Economic Association International, vol. 50(4), pages 867-879, October.
  26. Pieter A. Gautier & Coen N. Teulings & Aico Van Vuuren, 2010. "On-the-Job Search, Mismatch and Efficiency ," Review of Economic Studies, Oxford University Press, vol. 77(1), pages 245-272.
  27. Peter P. Wakker, 2008. "Explaining the characteristics of the power (CRRA) utility family," Health Economics, John Wiley & Sons, Ltd., vol. 17(12), pages 1329-1344.
  28. Ken Burdett & Melvyn G. Coles, 1997. "Marriage and Class," The Quarterly Journal of Economics, Oxford University Press, vol. 112(1), pages 141-168.
  29. Christopher A. Pissarides, 2000. "Equilibrium Unemployment Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262161877, September.
  30. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
  31. Arthur J. Hosios, 1990. "On The Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Oxford University Press, vol. 57(2), pages 279-298.
  32. Christopher A. Pissarides, 1994. "Search Unemployment with On-the-job Search," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 457-475.
  33. McDonald, Ian M & Solow, Robert M, 1981. "Wage Bargaining and Employment," American Economic Review, American Economic Association, vol. 71(5), pages 896-908, December.
  34. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
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