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On the volume-ranking of opportunity sets in economic environments

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  • Ernesto Savaglio

    ()

  • Stefano Vannucci

    ()

Abstract

The domain of polyconvex sets, i.e. finite unions of convex, compact, Euclidean sets, is large enough to encompass most of the opportunity sets typically encountered in economic environments, including non-linear or even non-convex budget sets, and opportunity sets arising from production sets. We provide a characterization of the volume-ranking as defined on the set of all polyconvex sets, relying on a valuation-based volume-characterization theorem due to Klain and Rota (1997).

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File URL: http://hdl.handle.net/10.1007/s00355-008-0343-7
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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 33 (2009)
Issue (Month): 1 (June)
Pages: 1-24

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Handle: RePEc:spr:sochwe:v:33:y:2009:i:1:p:1-24

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  1. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques.
  2. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On Ranking Opportunity Sets in Economic Environments," Journal of Economic Theory, Elsevier, vol. 93(1), pages 48-71, July.
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Cited by:
  1. Serge-Christophe Kolm, 2010. "On real economic freedom," Social Choice and Welfare, Springer, vol. 35(3), pages 351-375, September.

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