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Rationing problems with ex-ante conditions

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  • Timoner, Pere
  • Izquierdo, Josep M.

Abstract

An extension of the standard rationing model is introduced. Agents are not only identified by their respective claims to some amount of a scarce resource, but also by some exogenous ex-ante conditions (initial stock of resource or net worth of agents, for instance), other than claims. Within this framework, we define a generalization of the constrained equal awards rule and provide two different characterizations of this generalized rule. Finally, we use the corresponding dual properties to characterize a generalization of the constrained equal losses rule.

Suggested Citation

  • Timoner, Pere & Izquierdo, Josep M., 2016. "Rationing problems with ex-ante conditions," Mathematical Social Sciences, Elsevier, vol. 79(C), pages 46-52.
  • Handle: RePEc:eee:matsoc:v:79:y:2016:i:c:p:46-52
    DOI: 10.1016/j.mathsocsci.2015.11.001
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    References listed on IDEAS

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    3. Gutiérrez, E. & Llorca, N. & Sánchez-Soriano, J. & Mosquera, M., 2018. "Sustainable allocation of greenhouse gas emission permits for firms with Leontief technologies," European Journal of Operational Research, Elsevier, vol. 269(1), pages 5-15.
    4. Juan D. Moreno-Ternero, 2017. "A Talmudic approach to bankruptcy problems," LIDAM Reprints CORE 2914, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    6. Calleja, Pedro & Llerena, Francesc & Sudhölter, Peter, 2019. "Welfare egalitarianism in surplus-sharing problems and convex games," Discussion Papers on Economics 6/2019, University of Southern Denmark, Department of Economics.
    7. José-Manuel Giménez-Gómez & M. Carmen Marco-Gil & Juan-Francisco Sánchez-García, 2022. "New empirical insights into conflicting claims problems," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 13(4), pages 709-738, December.

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