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Are we done with preference rankings? If we are, then what?

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  • Hannu Nurmi

Abstract

Intransitive, incomplete and discontinuous preferences are not always irrational but may be based on quite reasonable considerations. Hence, we pursue the possibility of building a theory of social choice on an alternative foundation, viz. on individual preference tournaments. Tournaments have been studied for a long time independently of rankings and a number of results are therefore just waiting to be applied in social choice. Our focus is on Slater’s rule. A new interpretation of the rule is provided.

Suggested Citation

  • Hannu Nurmi, 2014. "Are we done with preference rankings? If we are, then what?," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(4), pages 63-74.
    • Handle: RePEc:wut:journl:v:4:y:2014:p:63-74:id:1141
    DOI: 10.5277/ord140405
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    References listed on IDEAS

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    1. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521808163, September.
    2. Tommi Meskanen & Hannu Nurmi, 2006. "Distance from Consensus: A Theme and Variations," Studies in Choice and Welfare, in: Bruno Simeone & Friedrich Pukelsheim (ed.), Mathematics and Democracy, pages 117-132, Springer.
    3. Christian Klamler, 2004. "The Dodgson ranking and its relation to Kemeny’s method and Slater’s rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 91-102, August.
    4. Kenneth J. Arrow & Herve Raynaud, 1986. "Social Choice and Multicriterion Decision-Making," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262511754, April.
    5. Lamboray, Claude, 2007. "A comparison between the prudent order and the ranking obtained with Borda's, Copeland's, Slater's and Kemeny's rules," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 1-16, July.
    6. Marc Pauly, 2014. "Can strategizing in round-robin subtournaments be avoided?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 29-46, June.
    7. Saari,Donald G., 2001. "Decisions and Elections," Cambridge Books, Cambridge University Press, number 9780521004046, September.
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    Cited by:

    1. Can, Burak & Ergin, Emre & Pourpouneh, Mohsen, 2017. "Condorcet versus participation criterion in social welfare rules," Research Memorandum 020, Maastricht University, Graduate School of Business and Economics (GSBE).
    2. De Marinis, Pietro & Sali, Guido, 2020. "Participatory analytic hierarchy process for resource allocation in agricultural development projects," Evaluation and Program Planning, Elsevier, vol. 80(C).

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