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Judicial Precedent as a Dynamic Rationale for Axiomatic Bargaining Theory

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Abstract

Axiomatic bargaining theory (e.g., Nash’s theorem) is static. We attempt to provide a dynamic justification for the theory. Suppose a Judge or Arbitrator must allocate utility in a (infinite) sequence of two-person problems; at each date, the Judge is presented with a utility possibility set in R2+. He/she must choose an allocation in the set, constrained only by Nash’s axioms, in the sense that a penalty is paid if and only if a utility allocation is chosen at date T which is inconsistent, according to one of the axioms, with a utility allocation chosen at some earlier date. Penalties are discounted with t, and the Judge chooses any allocation, at a given date, that minimizes the penalty he/she pays as that date. Under what conditions what the Judge’s chosen allocations converge to the Nash allocation over time? We answer this question for three canonical axiomatic bargaining solutions: Nash’s, Kalai-Smorodinsky’s, and the ’egalitarian’ solution, and generalize the analysis to a broad class of axiomatic models.

Suggested Citation

  • Marc Fleurbaey & John E. Roemer, 2010. "Judicial Precedent as a Dynamic Rationale for Axiomatic Bargaining Theory," IDEP Working Papers 1002, Institut d'economie publique (IDEP), Marseille, France, revised 07 May 2010.
  • Handle: RePEc:iep:wpidep:1002
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    1. Zenou,Yves, 2009. "Urban Labor Economics," Cambridge Books, Cambridge University Press, number 9780521698221, December.
    2. Kevin Lang, 2007. "Introduction to Poverty and Discrimination," Introductory Chapters,in: Poverty and Discrimination Princeton University Press.
    3. Bruno Decreuse & Benoît Schmutz, 2012. "Residential Mobility and Unemployment of African Immigrants in France: A Calibration Approach," Annals of Economics and Statistics, GENES, issue 107-108, pages 51-91.
    4. Gabriel Desgranges & Étienne Wasmer, 2000. "Appariements sur le marché du logement," Annals of Economics and Statistics, GENES, issue 58, pages 253-287.
    5. Hanson, Andrew & Hawley, Zackary, 2011. "Do landlords discriminate in the rental housing market? Evidence from an internet field experiment in US cities," Journal of Urban Economics, Elsevier, vol. 70(2-3), pages 99-114, September.
    6. repec:spo:wpecon:info:hdl:2441/8988 is not listed on IDEAS
    7. John Yinger, 1998. "Evidence on Discrimination in Consumer Markets," Journal of Economic Perspectives, American Economic Association, vol. 12(2), pages 23-40, Spring.
    8. repec:adr:anecst:y:2000:i:58:p:11 is not listed on IDEAS
    9. David Card & Alexandre Mas & Jesse Rothstein, 2008. "Tipping and the Dynamics of Segregation," The Quarterly Journal of Economics, Oxford University Press, vol. 123(1), pages 177-218.
    10. Uri Gneezy & John List & Michael K. Price, 2012. "Toward an Understanding of Why People Discriminate: Evidence from a Series of Natural Field Experiments," NBER Working Papers 17855, National Bureau of Economic Research, Inc.
    11. Hellerstein, Judith K. & Neumark, David & McInerney, Melissa, 2008. "Spatial mismatch or racial mismatch?," Journal of Urban Economics, Elsevier, vol. 64(2), pages 464-479, September.
    12. Gary A. Dymski, 2006. "Discrimination in the Credit and Housing Markets: Findings and Challenges," Chapters,in: Handbook on the Economics of Discrimination, chapter 8 Edward Elgar Publishing.
    13. King, A Thomas & Mieszkowski, Peter, 1973. "Racial Discrimination, Segregation, and the Price of Housing," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 590-606, May-June.
    14. David M. Cutler & Edward L. Glaeser & Jacob L. Vigdor, 1999. "The Rise and Decline of the American Ghetto," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 455-506, June.
    15. Ahmed, Ali M. & Hammarstedt, Mats, 2008. "Discrimination in the rental housing market: A field experiment on the Internet," Journal of Urban Economics, Elsevier, vol. 64(2), pages 362-372, September.
    16. Yinger, John, 1997. "Cash in Your Face: The Cost of Racial and Ethnic Discrimination in Housing," Journal of Urban Economics, Elsevier, vol. 42(3), pages 339-365, November.
    17. Zhao, Bo & Ondrich, Jan & Yinger, John, 2006. "Why do real estate brokers continue to discriminate? Evidence from the 2000 Housing Discrimination Study," Journal of Urban Economics, Elsevier, vol. 59(3), pages 394-419, May.
    18. Romain Aeberhardt & Denis Fougère & Julien Pouget & Roland Rathelot, 2010. "Wages and employment of French workers with African origin," Journal of Population Economics, Springer;European Society for Population Economics, vol. 23(3), pages 881-905, June.
    19. repec:adr:anecst:y:2012:i:107-108:p:3 is not listed on IDEAS
    20. repec:adr:anecst:y:2000:i:58 is not listed on IDEAS
    21. Kerwin Kofi Charles & Jonathan Guryan, 2008. "Prejudice and Wages: An Empirical Assessment of Becker's The Economics of Discrimination," Journal of Political Economy, University of Chicago Press, vol. 116(5), pages 773-809, October.
    22. Stephen L. Ross, 2008. "Understanding Racial Segregation: What is known about the Effect of Housing Discrimination," Working papers 2008-15, University of Connecticut, Department of Economics, revised Nov 2008.
    23. John F. Kain, 1968. "Housing Segregation, Negro Employment, and Metropolitan Decentralization," The Quarterly Journal of Economics, Oxford University Press, vol. 82(2), pages 175-197.
    24. Ondrich, Jan & Stricker, Alex & Yinger, John, 1999. "Do Landlords Discriminate? The Incidence and Causes of Racial Discrimination in Rental Housing Markets," Journal of Housing Economics, Elsevier, vol. 8(3), pages 185-204, September.
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    Cited by:

    1. Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2010. "Baseline Rationing," Discussion Papers 10-16, University of Copenhagen. Department of Economics.
      • Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Østerdal, 2011. "Baseline Rationing," Working Papers 2011-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
      • Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2010. "Baseline Rationing," MSAP Working Paper Series 05_2010, University of Copenhagen, Department of Food and Resource Economics.
    2. Sylvain Béal & Marc Deschamps, 2016. "On compensation schemes for data sharing within the European REACH legislation," European Journal of Law and Economics, Springer, pages 157-181.
    3. Jens Hougaard & Juan Moreno-Ternero & Lars Østerdal, 2013. "Rationing in the presence of baselines," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, pages 1047-1066.
    4. repec:spr:sochwe:v:49:y:2017:i:3:d:10.1007_s00355-017-1088-y is not listed on IDEAS

    More about this item

    Keywords

    axiomatic bargaining theory; judicial precedent; dynamic foundations; Nash’s bargaining solution.;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • K4 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior

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