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Rationing with Baselines: The Composition Extension Operator

  • Jens Leth Hougaard

    ()

    (Department of Food and Resource Economics, University of Copenhagen)

  • Juan D. Moreno-Ternero

    (Department of Economics, Universidad Pablo de Olavide)

  • Lars Peter Østerdal

    ()

    (Department of Business and Economics, University of Southern Denmark)

We introduce a new operator for general rationing problems in which, besides conflicting claims, individual baselines play an important role in the rationing process. The operator builds onto ideas of composition, which are not only frequent in rationing, but also in related problems such as bargaining, choice, and queuing. We characterize the operator and show how it preserves some standard axioms in the literature on rationing. We also relate it to recent contributions in such literature.

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File URL: http://okonomi.foi.dk/workingpapers/MSAPpdf/MSAP2012/MSAP_WP08_2012.pdf
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Paper provided by University of Copenhagen, Department of Food and Resource Economics in its series MSAP Working Paper Series with number 08_2012.

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Length: 14 pages
Date of creation: Jul 2012
Date of revision:
Handle: RePEc:foi:msapwp:08_2012
Contact details of provider: Web page: http://www.ifro.ku.dk/english/
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  1. Pulido, M. & Borm, P.E.M. & Hendrickx, R.L.P. & Llorca, N. & Sánchez-Soriano, J., 2008. "Compromise solutions for bankruptcy situations with references," Other publications TiSEM d5052c4d-eda1-4d7e-b3d0-d, School of Economics and Management.
  2. 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.
  3. Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2011. "A unifying framework for the problem of adjudicating conflicting claims," MSAP Working Paper Series 01_2011, University of Copenhagen, Department of Food and Resource Economics.
  4. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-30, October.
  5. Juan D. Moreno-Ternero & John E. Roemer, 2011. "A common ground for resource and welfare egalitarianism," Working Papers 11.12, Universidad Pablo de Olavide, Department of Economics.
  6. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Osterdal, 2012. "Rationing in the presence of baselines," Working Papers 12.04, Universidad Pablo de Olavide, Department of Economics.
  7. MORENO-TERNERO, Juan D. & ROEMER, John E., 2005. "Impartiality, priority, and solidarity in the theory of justice," CORE Discussion Papers 2005077, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  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:12-194180 is not listed on IDEAS
  10. Youngsub Chun, 1999. "Equivalence of axioms for bankruptcy problems," International Journal of Game Theory, Springer, vol. 28(4), pages 511-520.
  11. MORENO-TERNERO, Juan D. & VILLAR, Antonio, . "New characterizations of a classical bankruptcy rule," CORE Discussion Papers RP -1926, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Kaminski, Marek M., 2006. "Parametric rationing methods," Games and Economic Behavior, Elsevier, vol. 54(1), pages 115-133, January.
  13. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
  14. Youngsub Chun, 1999. "Equivalence of Axioms for Bankruptcy Problems," Working Paper Series no1, Institute of Economic Research, Seoul National University.
  15. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Østerdal, 2011. "Baseline Rationing," Working Papers 2011-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
  16. Hokari, Toru & Thomson, William, 2008. "On properties of division rules lifted by bilateral consistency," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1057-1071, December.
  17. 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.
  18. Roemer, John E, 1986. "Equality of Resources Implies Equality of Welfare," The Quarterly Journal of Economics, MIT Press, vol. 101(4), pages 751-84, November.
  19. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-91, November.
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