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Sharing a common resource with concave benefits

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  • Ambec, S.

Abstract

A group of agents enjoy concave and single-peak benefit functions from consuming a shared resource. They also value money (transfers). The resource is scarce in the sense that not everybody can consume its peak. The paper characterizes the unique (resource and money) allocation that is efficient, incentive compatible and equal-sharing individual rational. It can be implemented (i) by selling the resource or taxing extraction and redistributing the money collected equally, or (ii) by assigning property rights on equal shares in a competitive market. Next, the paper posits an allocation that is incentive compatible, individual rational and assigns to every agent no more than its peak benefit.

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File URL: http://www.grenoble.inra.fr/Docs/pub/A2006/gael2006-03.pdf
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Bibliographic Info

Paper provided by Grenoble Applied Economics Laboratory (GAEL) in its series Working Papers with number 200601.

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Date of creation: 2006
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Handle: RePEc:gbl:wpaper:200601

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Related research

Keywords: COMMON RESOURCE; SINGLE PEAK; INCENTIVE COMPATIBLE; NO ENVY; FAIRNESS;

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  1. Schmeidler, David & Vind, Karl, 1972. "Fair Net Trades," Econometrica, Econometric Society, vol. 40(4), pages 637-42, July.
  2. H. R. Varian, 1973. "Equity, Envy and Efficiency," Working papers 115, Massachusetts Institute of Technology (MIT), Department of Economics.
  3. Moulin, H., 1988. "Welfare Bounds In The Fair Division Problem," UFAE and IAE Working Papers 106-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  4. Ching, Stephen, 1992. "A simple characterization of the uniform rule," Economics Letters, Elsevier, vol. 40(1), pages 57-60, September.
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Cited by:
  1. d'ALBIS Hippolyte & AMBEC Stefan, 2009. "Fair intergenerational sharing of a natural resource," LERNA Working Papers 09.23.299, LERNA, University of Toulouse.

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