IDEAS home Printed from https://ideas.repec.org/p/nav/ecupna/9818.html
   My bibliography  Save this paper

Equality of Opportunities: Cardinality-Based Criteria

Author

Listed:

Abstract

In this paper we study possible rankings of opportunity profiles. An opportunity profile is a list of sets of alternative opportunities, one set for each agent in the society. We compare such opportunity profiles on the basis of the notion of "equality of opportunities". Our main results show the necessary and sufficient conditions for this comparison to be made using exclusively the information provided by two cardinal measures: the number of common alternatives for all sets in a given profile and/or the difference between the number of alternatives of individual sets. We also show that, under given circumstances, the only way to solve conflicts between these two numbers is to combine them in a lexicographic procedure.

Suggested Citation

  • Ricardo Arlegi & Jorge Nieto, 1998. "Equality of Opportunities: Cardinality-Based Criteria," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 9818, Departamento de Economía - Universidad Pública de Navarra.
    • Handle: RePEc:nav:ecupna:9818
    as

    Download full text from publisher

    File URL: http://www2.unavarra.es/gesadj/depEconomia/repec/DocumentosTrab/DT9818.PDF
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bossert, W & Fleurbaey, M & Van de gaer, D, 1996. "On Second-Best Compensation," Working Papers 9601, University of Waterloo, Department of Economics.
    2. Kranich, Laurence, 1995. "The distribution of oportunities: a normative theory," UC3M Working papers. Economics 3910, Universidad Carlos III de Madrid. Departamento de Economía.
    3. Kranich, Laurence, 1996. "Equitable Opportunities: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 71(1), pages 131-147, October.
    4. Herrero, Carmen, 1997. "Equitable opportunities: an extension," Economics Letters, Elsevier, vol. 55(1), pages 91-95, August.
    5. Nicolas Gravel, 1998. "Ranking opportunity sets on the basis of their freedom of choice and their ability to satisfy preferences: A difficulty," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 371-382.
    6. Herrero, Carmen & Iturbe-Ormaetxe, Inigo & Nieto, Jorge, 1998. "Ranking opportunity profiles on the basis of the common opportunities," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 273-289, May.
    7. Bossert Walter & Pattanaik Prasanta K. & Xu Yongsheng, 1994. "Ranking Opportunity Sets: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 63(2), pages 326-345, August.
    8. Iñigo Iturbe Ormaetxe & Carmen Herrero Blanco & Jorge Nieto, 1995. "Ranking Social Decisions Without Individual Preferences On The Basis Of Opportunities," Working Papers. Serie AD 1995-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    9. Ok, Efe A., 1997. "On Opportunity Inequality Measurement," Journal of Economic Theory, Elsevier, vol. 77(2), pages 300-329, December.
    10. Sen, Amartya, 1991. "Welfare, preference and freedom," Journal of Econometrics, Elsevier, vol. 50(1-2), pages 15-29, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Vitorocco Peragine, "undated". "Responsibility Compensation and Income Distribution," Discussion Papers 98/13, Department of Economics, University of York.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Vito Peragine & Ernesto Savaglio & Stefano Vannucci, 2008. "Poverty Rankings of Opportunity Profiles," Department of Economics University of Siena 548, Department of Economics, University of Siena.
    3. Herrero, Carmen & Iturbe-Ormaetxe, Inigo & Nieto, Jorge, 1998. "Ranking opportunity profiles on the basis of the common opportunities," Mathematical Social Sciences, Elsevier, vol. 35(3), pages 273-289, May.
    4. Ricardo Arlegi, 2005. "Freedom Of Choice And Conflict Resolution," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0502, Departamento de Economía - Universidad Pública de Navarra.
    5. Jorge Alcalde-Unzu & Miguel Ballester, 2012. "Ranking opportunity profiles through dependent evaluation of policies," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(4), pages 471-487, December.
    6. Vito Peragine & Maria G. Pittau & Ernesto Savaglio & Stefano Vannucci, 2021. "On multidimensional poverty rankings of binary attributes," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 248-274, April.
    7. Stefano Vannucci, 2013. "A characterization of height-based extensions of principal filtral opportunity rankings," Revista Cuadernos de Economia, Universidad Nacional de Colombia, FCE, CID, December.
    8. Vito Peragine & Laura Serlenga, 2008. "Higher education and equality of opportunity in Italy," Research on Economic Inequality, in: Inequality and Opportunity: Papers from the Second ECINEQ Society Meeting, pages 67-97, Emerald Group Publishing Limited.
    9. John Weymark, 2003. "Generalized Gini Indices of Equality of Opportunity," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 5-24, April.
    10. Jorge Alcalde-Unzu & Ricardo Arlegi & Jorge Nieto, 2007. "Cardinality-based equality of opportunities," Review of Economic Design, Springer;Society for Economic Design, vol. 10(4), pages 285-304, March.
    11. Arlegi, R. & Dimitrov, D.A., 2004. "On Procedural Freedom of Choice," Discussion Paper 2004-9, Tilburg University, Center for Economic Research.
    12. Laurence Kranich, 2009. "Measuring opportunity inequality with monetary transfers," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(4), pages 371-385, December.
    13. Herrero, Carmen, 1997. "Equitable opportunities: an extension," Economics Letters, Elsevier, vol. 55(1), pages 91-95, August.
    14. Jorge Alcalde-Unzu & Miguel Ballester, 2010. "On ranking opportunity distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(1), pages 3-31, January.
    15. Ferreira, Francisco H. G. & Peragine, Vito, 2015. "Equality of Opportunity: Theory and Evidence," IZA Discussion Papers 8994, Institute of Labor Economics (IZA).
    16. Antoinette Baujard, 2006. "Conceptions of freedom and ranking opportunity sets. A typology," Economics Working Paper Archive (University of Rennes & University of Caen) 200611, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    17. Vito Peragine, 2004. "Measuring and implementing equality of opportunity for income," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(1), pages 187-210, February.
    18. Sebastian Bervoets, 2007. "Freedom of choice in a social context: comparing game forms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(2), pages 295-315, September.
    19. Vitorocco Peragine, "undated". "Responsibility Compensation and Income Distribution," Discussion Papers 98/13, Department of Economics, University of York.
    20. Walter Bossert, 1998. "Opportunity Sets and the Measurement of Information," Discussion Papers 98/6, University of Nottingham, School of Economics.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nav:ecupna:9818. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Javier Puértolas (email available below). General contact details of provider: https://www.unavarra.es/departamento-economia .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.