IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v50y2018i4d10.1007_s00355-017-1101-5.html
   My bibliography  Save this article

Selections from ordered sets

Author

Listed:
  • Daniele Checchi

    (Università di Milano
    FBK-Irvapp
    IZA)

  • Gianni De Fraja

    (University of Nottingham
    Università di Roma “Tor Vergata”
    C.E.P.R.)

  • Stefano Verzillo

    (Università di Milano
    Joint Research Centre)

Abstract

We study the problem of evaluating whether the selection from a set is close to the ordering of the set determined by an exogenously given measure. Our main result is that three axioms, two naturally capturing “dominance”, and a stronger one imposing a form of symmetry in the comparison of selections, are sufficient to evaluate how close any selection from any set is to the given ordering of the set. This closeness is given by a very simple index, which is a linear function of the sum of the ranks of the selected elements. The paper ends by relating this index to the existing literature on distance between orderings, and also offers a practical application of the index.

Suggested Citation

  • Daniele Checchi & Gianni De Fraja & Stefano Verzillo, 2018. "Selections from ordered sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(4), pages 677-703, April.
  • Handle: RePEc:spr:sochwe:v:50:y:2018:i:4:d:10.1007_s00355-017-1101-5
    DOI: 10.1007/s00355-017-1101-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00355-017-1101-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00355-017-1101-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Can, Burak, 2014. "Weighted distances between preferences," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 109-115.
    2. Cabizza, Mariella M. & De Fraja, Gianni, 1998. "Quality considerations in auctions for television franchises," Information Economics and Policy, Elsevier, vol. 10(1), pages 9-22, March.
    3. Daniele Checchi & Gianni De Fraja & Stefano Verzillo, 2014. "Publish or Perish: An Analysis of the Academic Job Market in Italy," Discussion Papers 14/04, University of Nottingham, School of Economics.
    4. , & ,, 2006. "A model of choice from lists," Theoretical Economics, Econometric Society, vol. 1(1), pages 3-17, March.
    5. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    6. Jahn K. Hakes & Raymond D. Sauer, 2006. "An Economic Evaluation of the Moneyball Hypothesis," Journal of Economic Perspectives, American Economic Association, vol. 20(3), pages 173-186, Summer.
    7. Peyton Young, 1995. "Optimal Voting Rules," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 51-64, Winter.
    8. Christian Klamler, 2008. "A distance measure for choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 419-425, April.
    Full references (including those not matched with items on IDEAS)

    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. Daniele Checchi & Gianni De Fraja & Stefano Verzillo, 2014. "And the Winners Are...An Axiomatic Approach to Selection from a Set," CEIS Research Paper 326, Tor Vergata University, CEIS, revised 08 Aug 2014.
    2. Daniele Checchi & Gianni De Fraja & Stefano Verzillo, 2014. "And the Winners Are… An Axiomatic Approach to Selection from a Set," Discussion Papers 14/05, University of Nottingham, School of Economics.
    3. Jorge Alcalde-Unzu & Marc Vorsatz, 2016. "Do we agree? Measuring the cohesiveness of preferences," Theory and Decision, Springer, vol. 80(2), pages 313-339, February.
    4. Hiroki Nishimura & Efe A. Ok, 2022. "A class of dissimilarity semimetrics for preference relations," Papers 2203.04418, arXiv.org.
    5. Chakravarty, Satya R. & Deutsch, Joseph & Silber, Jacques, 2008. "On the Watts Multidimensional Poverty Index and its Decomposition," World Development, Elsevier, vol. 36(6), pages 1067-1077, June.
    6. Can, Burak & Pourpouneh, Mohsen & Storcken, Ton, 2017. "Cost of transformation: a measure on matchings," Research Memorandum 015, Maastricht University, Graduate School of Business and Economics (GSBE).
    7. Masood Sarwar Awan & Muhammad Amir Aslam, 2011. "Multidimensional Poverty in Pakistan: Case of Punjab Province," Journal of Economics and Behavioral Studies, AMH International, vol. 3(2), pages 133-144.
    8. Oihana Aristondo & Casilda Lasso De La Vega & Ana Urrutia, 2010. "A New Multiplicative Decomposition For The Foster–Greer–Thorbecke Poverty Indices," Bulletin of Economic Research, Wiley Blackwell, vol. 62(3), pages 259-267, July.
    9. Espinoza-Delgado, José & Silber, Jacques, 2018. "Multi-dimensional poverty among adults in Central America and gender differences in the three I’s of poverty: Applying inequality sensitive poverty measures with ordinal variables," MPRA Paper 88750, University Library of Munich, Germany.
    10. Andrew Caplin & Mark Dean & Daniel Martin, 2011. "Search and Satisficing," American Economic Review, American Economic Association, vol. 101(7), pages 2899-2922, December.
    11. Borooah, Vani, 2007. "Measuring economic inequality: deprivation, economising and possessing," MPRA Paper 19422, University Library of Munich, Germany.
    12. N'dri, Lasme Mathieu & Kakinaka, Makoto, 2020. "Financial inclusion, mobile money, and individual welfare: The case of Burkina Faso," Telecommunications Policy, Elsevier, vol. 44(3).
    13. Lane Kenworthy, 2004. "Welfare States, Real Income and Poverty," LIS Working papers 370, LIS Cross-National Data Center in Luxembourg.
    14. Le Breton, Michel & Truchon, Michel, 1997. "A Borda measure for social choice functions," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 249-272, October.
    15. Heindl, Peter & Schuessler, Rudolf, 2015. "Dynamic properties of energy affordability measures," Energy Policy, Elsevier, vol. 86(C), pages 123-132.
    16. Hendrik Thiel & Stephan L. Thomsen, 2015. "Individual Poverty Paths and the Stability of Control-Perception," SOEPpapers on Multidisciplinary Panel Data Research 794, DIW Berlin, The German Socio-Economic Panel (SOEP).
    17. Belhadj, Besma & Limam, Mohamed, 2012. "Unidimensional and multidimensional fuzzy poverty measures: New approach," Economic Modelling, Elsevier, vol. 29(4), pages 995-1002.
    18. Julie Litchfield & Patricia Justino, 2004. "Welfare in Vietnam during the 1990s: Poverty, inequality and poverty dynamics," Journal of the Asia Pacific Economy, Taylor & Francis Journals, vol. 9(2), pages 145-169.
    19. Francisco J. Ciocchini & Gabriel Molteni, 2008. "Medidas alternativas de la pobreza en el Gran Buenos Aires, 1995-2006," Ensayos de Política Económica, Departamento de Investigación Francisco Valsecchi, Facultad de Ciencias Económicas, Pontificia Universidad Católica Argentina., vol. 1(2), pages 46-82, Octubre.
    20. Duclos, Jean-Yves & Araar, Abdelkrim & Giles, John, 2010. "Chronic and transient poverty: Measurement and estimation, with evidence from China," Journal of Development Economics, Elsevier, vol. 91(2), pages 266-277, March.

    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:spr:sochwe:v:50:y:2018:i:4:d:10.1007_s00355-017-1101-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.