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Individual rights and collective responsibility: the rights-egalitarian solution

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  • Herrero, Carmen
  • Maschler, Michael
  • Villar, Antonio

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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Bibliographic Info

Article provided by Elsevier in its journal Mathematical Social Sciences.

Volume (Year): 37 (1999)
Issue (Month): 1 (January)
Pages: 59-77

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Handle: RePEc:eee:matsoc:v:37:y:1999:i:1:p:59-77

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Web page: http://www.elsevier.com/locate/inca/505565

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  1. Tijs, S.H. & Otten, G.J.M., 1993. "Compromise values in cooperative game theory," Research Memorandum, Tilburg University, Faculty of Economics and Business Administration 615, Tilburg University, Faculty of Economics and Business Administration.
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  10. Carmen Herrero Blanco, 1994. "Bargaining with reference points-bargaining with claims: Egalitarian solutions reexamined," Working Papers. Serie AD, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) 1994-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  11. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, Elsevier, vol. 2(4), pages 345-371, June.
  12. 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.
  13. repec:cup:cbooks:9780521343831 is not listed on IDEAS
  14. Chun, Youngsub & Peters, Hans, 1991. "The lexicographic equal-loss solution," Mathematical Social Sciences, Elsevier, Elsevier, vol. 22(2), pages 151-161, October.
  15. 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.
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