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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. MORENO-TERNERO, Juan D. & VILLAR, Antonio, . "The TAL-family or rules for bankruptcy problems," CORE Discussion Papers RP, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) -1897, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. JU, Biung-Ghi & MORENO-TERNERO, Juan D., . "Progressive and merging-proof taxation," CORE Discussion Papers RP, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) -2280, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. 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.
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  9. MORENO-TERNERO, Juan D. & ROEMER, John E., . "Impartiality, priority, and solidarity in the theory of justice," CORE Discussion Papers RP, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) -1896, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  18. Thomson, William & Yeh, Chun-Hsien, 2008. "Operators for the adjudication of conflicting claims," Journal of Economic Theory, Elsevier, Elsevier, vol. 143(1), pages 177-198, November.
  19. Thomson, W., 1989. "Cooperative Models Of Bargaining," RCER Working Papers 177, University of Rochester - Center for Economic Research (RCER).
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Citations

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Cited by:
  1. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Østerdal, 2011. "A unifying framework for the problem of adjudicating conflicting claims," Working Papers, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center 2011-03, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
  2. Jens L. Hougaard & Juan D. Moreno-Ternero & Lars P. Osterdal, 2013. "Rationing with Baselines: The Composition Extension Operator," Working Papers 13.01, Universidad Pablo de Olavide, Department of Economics.
  3. Miguel Hinojosa & Amparo Mármol, 2014. "Multi-commodity rationing problems with maxmin payoffs," Mathematical Methods of Operations Research, Springer, 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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