In this paper, we extend the axiomatic analysis of equitable opportunities developed in Kranich [6] from finite to continuous opportunity sets. This extended framework is amenable to economic applications. The main results establish conditions under which an ordinal ranking of profiles of opportunity sets can be represented by a cardinal advantage function which describes both the extent of inequality and the distribution of advantage among the agents.
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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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Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001.
"Ranking Sets of Objects,"
Cahiers de recherche
2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.