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Asymmetric Parametric Division Rules

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  • Stovall, John

    (Department of Economics, University of Warwick)

Abstract

We describe and characterize the family of asymmetric parametric division rules for the adjudication of con icting claims on a divisible homogeneous good. As part of the characterization, we present two novel axioms which restrict how a division rule indirectly allocates between different versions of the same claimant. We also show that such division rules can alternately be represented as the maximization of an additively separable social welfare function JEL classification: JEL codes:

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Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 1012.

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Date of creation: 2013
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Handle: RePEc:wrk:warwec:1012

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  1. Chambers, Christopher P., 2006. "Asymmetric rules for claims problems without homogeneity," Games and Economic Behavior, Elsevier, Elsevier, vol. 54(2), pages 241-260, February.
  2. Kaminski, Marek M., 2006. "Parametric rationing methods," Games and Economic Behavior, Elsevier, Elsevier, vol. 54(1), pages 115-133, January.
  3. Naumova, N. I., 2002. "Nonsymmetric equal sacrifice solutions for claim problem," Mathematical Social Sciences, Elsevier, Elsevier, vol. 43(1), pages 1-18, January.
  4. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, Elsevier, vol. 44(2), pages 321-335, April.
  5. Ju, Biung-Ghi & Miyagawa, Eiichi & Sakai, Toyotaka, 2007. "Non-manipulable division rules in claim problems and generalizations," Journal of Economic Theory, Elsevier, Elsevier, vol. 132(1), pages 1-26, January.
  6. Toru Hokari & William Thomson, 2003. "Claims problems and weighted generalizations of the Talmud rule," Economic Theory, Springer, Springer, vol. 21(2), pages 241-261, 03.
  7. Lensberg, Terje, 1987. "Stability and Collective Rationality," Econometrica, Econometric Society, Econometric Society, vol. 55(4), pages 935-61, July.
  8. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, Econometric Society, vol. 68(3), pages 643-684, May.
  9. Juan D Moreno-Ternero & John E Roemer, 2006. "Impartiality, Priority, and Solidarity in the Theory of Justice," Econometrica, Econometric Society, Econometric Society, vol. 74(5), pages 1419-1427, 09.
  10. O'Neill, Barry, 1982. "A problem of rights arbitration from the Talmud," Mathematical Social Sciences, Elsevier, Elsevier, vol. 2(4), pages 345-371, June.
  11. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, Elsevier, vol. 45(3), pages 249-297, July.
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Cited by:
  1. Stovall, John, 2014. "Collective Rationality and Monotone Path Division Rules," The Warwick Economics Research Paper Series (TWERPS), University of Warwick, Department of Economics 1035, University of Warwick, Department of Economics.

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