Rationing with baselines: the composition extension operator

Hougaard, Jens Leth;Moreno-Ternero, Juan de Dios;Osterdal, Lars Peter
(2013) Annals of Operations Research — Vol. 211, n° 1, p. 17-191 (2013)

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Authors
  • Hougaard, Jens LethUniversity of Copenhagen
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  • Moreno-Ternero, Juan de DiosUniversidad Pablo de Olavide
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  • Osterdal, Lars PeterUniversity of Southern Denmark
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Abstract
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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Hougaard, J. L., Moreno-Ternero, J. d. D., & Osterdal, L. P. (2013). Rationing with baselines: the composition extension operator. Annals of Operations Research, 211(1), 17-191. https://doi.org/10.1007/s10479-013-1471-8 (Original work published 2013)