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Baseline Rationing

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Author Info

  • Jens Leth Hougaard

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

  • Juan D. Moreno-Ternero

    (Universidad de Malaga)

  • Lars Peter Østerdal

    (Department of Economics, University of Copenhagen)

Abstract

The standard problem of adjudicating conflicting claims describes a situation in which a given amount of a divisible good has to be allocated among agents who hold claims against it exceeding the available amount. This paper considers more general rationing problems in which, in addition to claims, there exist baselines (to be interpreted as objective entitlements, ideal targets, or past consumption) that might play an important role in the allocation process. The model we present is able to accommodate real-life rationing situations, ranging from resource allocation in the public health care sector to international protocols for the reduction of greenhouse emissions, or water distribution in drought periods. We define a family of allocation methods for such general rationing problems - called baseline rationing rules - and provide an axiomatic characterization for it. Any baseline rationing rule within the family is associated with a standard rule and we show that if the latter obeys some properties reflecting principles of impartiality, priority and solidarity, the former obeys them too.

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Bibliographic Info

Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 10-16.

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Length: 17 pages
Date of creation: Jun 2010
Date of revision:
Handle: RePEc:kud:kuiedp:1016

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Keywords: rationing; baselines; claims; priority; solidarity;

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References

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  1. Marc Fleurbaey & John E. Roemer, 2010. "Judicial Precedent as a Dynamic Rationale for Axiomatic Bargaining Theory," IDEP Working Papers 1002, Institut d'economie publique (IDEP), Marseille, France, revised 07 May 2010.
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  7. JU, Biung-Ghi & MORENO-TERNERO, Juan D., . "Progressive and merging-proof taxation," CORE Discussion Papers RP -2280, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. MORENO-TERNERO, Juan D. & ROEMER, John E., . "Impartiality, priority, and solidarity in the theory of justice," CORE Discussion Papers RP -1896, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  22. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
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Cited by:
  1. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Østerdal, Lars Peter, 2012. "A unifying framework for the problem of adjudicating conflicting claims," Journal of Mathematical Economics, Elsevier, vol. 48(2), pages 107-114.
  2. Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2012. "Rationing with Baselines: The Composition Extension Operator," MSAP Working Paper Series 08_2012, University of Copenhagen, Department of Food and Resource Economics.
  3. Miguel Hinojosa & Amparo Mármol, 2014. "Multi-commodity rationing problems with maxmin payoffs," Mathematical Methods of Operations Research, Springer, vol. 79(3), pages 353-370, June.
  4. Pere Timoner & Josep Maria Izquierdo, 2014. "Rationing problems with payoff thresholds," UB Economics Working Papers 2014/311, Universitat de Barcelona, Facultat d'Economia i Empresa, UB Economics.

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