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Individual rights and collective responsibility: The rights-egalitarian solution

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Author Info

  • Antonio Villar Notario

    (Instituto Valenciano de Investigaciones Económicas)

  • Carmen Herrero Blanco

    (Instituto Valenciano de Investigaciones Económicas)

  • Michael Maschler

    (Hebrew University of Jerusalem)

Abstract

The problem of distributing a given amount of a divisible good among a set of agents which may have individual entitlements is considered here. A solution to this problem, called the Rights-Egalitarian Solution, is proposed and characterized. This allocation rule divides equally among the agents the difference between the aggregate entitlements and the amount of the good available. A relevant feature of the analysis developed is that no sign restriction is established on the parameters of the model (that is, the aggregate entitlements may exceed or fall short of the amount of the good, agents' rights may be positive or negative, the allocation may involve a redistribution on agents' holding, etc.)

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1996-04.pdf
File Function: Fisrt version / Primera version, 1996
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Bibliographic Info

Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1996-04.

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Length: 24 pages
Date of creation: Jan 1996
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1996-04

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Related research

Keywords: Distributive problems; allocation rules; solution functions;

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References

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  1. Chun, Youngsub, 1988. "The proportional solution for rights problems," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 231-246, June.
  2. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
  3. Stef Tijs & Gert-Jan Otten, 1993. "Compromise values in cooperative game theory," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 1(1), pages 1-36, December.
  4. Tijs, S.H. & Otten, G.J.M., 1993. "Compromise values in cooperative game theory," Research Memorandum 615, Tilburg University, Faculty of Economics and Business Administration.
  5. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
  6. Volij, Oscar & Dagan, Nir, 1993. "The Bankruptcy Problem: A Cooperative Bargaining Approach," Staff General Research Papers 10571, Iowa State University, Department of Economics.
  7. Herrero, Carmen & Marco, Maria Carmen, 1993. "Rational equal-loss solutions for bargaining problems," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 273-286, November.
  8. Nir Dagan, 1996. "New characterizations of old bankruptcy rules," Social Choice and Welfare, Springer, vol. 13(1), pages 51-59, January.
  9. Ehud Kalai, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Discussion Papers 179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  10. Tijs, S.H. & Otten, G.J.M., 1993. "Compromise values in cooperative game theory," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154196, Tilburg University.
  11. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June.
  12. Chun, Youngsub & Thomson, William, 1992. "Bargaining problems with claims," Mathematical Social Sciences, Elsevier, vol. 24(1), pages 19-33, August.
  13. Chun, Youngsub & Peters, Hans, 1991. "The lexicographic equal-loss solution," Mathematical Social Sciences, Elsevier, vol. 22(2), pages 151-161, October.
  14. repec:cup:cbooks:9780521343831 is not listed on IDEAS
  15. Chun, Youngsub, 1988. "The equal-loss principle for bargaining problems," Economics Letters, Elsevier, vol. 26(2), pages 103-106.
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