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

  • Branzei,R.
  • Dimitrov,D.

    (Institute of Mathematical Economics, Bielefeld University)

  • Pickl,S.
  • Tijs,S.

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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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-339.pdf
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Paper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 339.

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Date of creation: 2002
Date of revision:
Handle: RePEc:bie:wpaper:339
Contact details of provider: Postal: Postfach 10 01 31, 33501 Bielefeld
Phone: +49(0)521-106-4907
Web page: http://www.imw.uni-bielefeld.de/

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  1. Nir Dagan, 1996. "New Characterizations of Old Bankruptcy Rules," Economic theory and game theory 002, Nir Dagan.
  2. Stef Tijs & Rodica Branzei, 2002. "Cost sharing in a joint project," Working Papers 336, Bielefeld University, Center for Mathematical Economics.
  3. Antonio Villar Notario & Carmen Herrero Blanco, 2000. "The Three Musketeers: Four Classical Solutions To Bankruptcy Problems," Working Papers. Serie AD 2000-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  4. Brânzei, R. & Ferrari, G. & Fragnelli, V. & Tijs, S.H., 2002. "Two approaches to the problem of sharing delay costs in joint projects," Other publications TiSEM 7e547fec-4bc3-412c-9199-3, School of Economics and Management.
  5. 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.
  6. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
  7. Chun, Youngsub, 1988. "The proportional solution for rights problems," Mathematical Social Sciences, Elsevier, vol. 15(3), pages 231-246, June.
  8. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
  9. repec:ner:tilbur:urn:nbn:nl:ui:12-91324 is not listed on IDEAS
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