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On the Volume-Ranking of Opportunity Sets in Economic Environments

  • Ernesto Savaglio


  • Stefano Vannucci


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    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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    Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 479.

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    Date of creation: Apr 2006
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    Handle: RePEc:usi:wpaper:479
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    1. 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.
    2. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques.
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