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How to cope with division problems under interval uncertainty of claims?

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Author Info
Branzei, R.
Dimitrov, D.
Pickl, S.
Tijs, S. (Tilburg University, Center for Economic Research)

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Abstract

The paper deals with division situations where individual claims can vary within closed intervals. Uncertainty of claims is removed by compromising in a consistent way the upper and lower bounds of the claim intervals. Deterministic division problems with compromise claims are then considered and classical division rules from the bankruptcy literature are used to generate several procedures leading to e .cient and reasonable rules for division problems under interval uncertainty of claims.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 96.

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Date of creation: 2002
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Handle: RePEc:dgr:kubcen:200296

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Keywords: claims; division problems;

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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. [Downloadable!] (restricted)
  2. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, vol. 2(4), pages 345-371, June. [Downloadable!] (restricted)
  3. Nir Dagan, 1996. "New Characterizations of Old Bankruptcy Rules," Economic theory and game theory 002, Nir Dagan. [Downloadable!]
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  4. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April. [Downloadable!] (restricted)
  5. Branzei.R., & Ferrari, G. & Fragnelli, V. & Tijs, S., 2001. "Two approaches to the problem of sharing delay costs in joint projects," Discussion Paper 22, Tilburg University, Center for Economic Research. [Downloadable!]
  6. Herrero, Carmen & Villar, Antonio, 2001. "The three musketeers: four classical solutions to bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 307-328, November. [Downloadable!] (restricted)
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  7. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
  8. Herrero, Carmen & Maschler, Michael & Villar, Antonio, 1999. "Individual rights and collective responsibility: the rights-egalitarian solution," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 59-77, January. [Downloadable!] (restricted)
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  1. Rodica Branzei & Dinko Dimitrov & Stef Tijs, 2003. "Shapley-like values for interval bankruptcy games," Economics Bulletin, Economics Bulletin, vol. 3(9), pages 1-8. [Downloadable!]
  2. Anne van den Nouweland & Luisa Carpente & Balbina Casas-Méndez & Ignacio García-Jurado, 2007. "The truncated core for games with limited aspirations," University of Oregon Economics Department Working Papers 2007-13, University of Oregon Economics Department. [Downloadable!]
  3. Luisa Carente & Balbina Casas-Mendez & Ignacio Carcia-Jurado & Anne van den Nouweland, 2007. "The Truncated Core for Games with Limited Aspirations," Department of Economics - Working Papers Series 1010, The University of Melbourne. [Downloadable!]
  4. Luisa Carpente & Balbina Casas-Mendez & Ignacio Garcia-Jurado & Anne van den Nouweland, 2005. "Interval values for strategic games in which players cooperate," University of Oregon Economics Department Working Papers 2005-16, University of Oregon Economics Department. [Downloadable!]
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