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Asymmetric parametric division rules

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  • Stovall, John E.

Abstract

We describe and characterize the family of asymmetric parametric division rules for the adjudication of conflicting 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.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 84 (2014)
Issue (Month): C ()
Pages: 87-110

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Handle: RePEc:eee:gamebe:v:84:y:2014:i:c:p:87-110

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Web page: http://www.elsevier.com/locate/inca/622836

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Keywords: Claims; Bankruptcy; Rationing; Fair allocation; Consistency; Intrapersonal consistency;

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  1. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
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  7. Kaminski, Marek M., 2006. "Parametric rationing methods," Games and Economic Behavior, Elsevier, vol. 54(1), pages 115-133, January.
  8. Ju, Biung-Ghi & Miyagawa, Eiichi & Sakai, Toyotaka, 2007. "Non-manipulable division rules in claim problems and generalizations," Journal of Economic Theory, Elsevier, vol. 132(1), pages 1-26, January.
  9. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
  10. Toru Hokari & William Thomson, 2003. "Claims problems and weighted generalizations of the Talmud rule," Economic Theory, Springer, vol. 21(2), pages 241-261, 03.
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Cited by:
  1. Stovall, John, 2014. "Collective Rationality and Monotone Path Division Rules," The Warwick Economics Research Paper Series (TWERPS) 1035, University of Warwick, Department of Economics.

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