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Good and bad objects : The symmetric difference rule

Author

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  • Borm, P.E.M.

    (Tilburg University, School of Economics and Management)

  • Dimitrov, D.A.

    (Tilburg University, School of Economics and Management)

  • Hendrickx, R.L.P.

    (Tilburg University, School of Economics and Management)

Abstract

We consider the problem of ranking sets of objects, the members of which are mutually compatible. Assuming that each object is either good or bad, we axiomatically characterize a cardinality-based rule which arises naturally in this dichotomous setting.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Borm, P.E.M. & Dimitrov, D.A. & Hendrickx, R.L.P., 2004. "Good and bad objects : The symmetric difference rule," Other publications TiSEM ae319b57-4686-4002-867c-5, Tilburg University, School of Economics and Management.
  • Handle: RePEc:tiu:tiutis:ae319b57-4686-4002-867c-5ef54b9b0381
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    References listed on IDEAS

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    1. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On diversity and freedom of choice," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 123-130, September.
    2. Samet, Dov & Schmeidler, David, 2003. "Between liberalism and democracy," Journal of Economic Theory, Elsevier, vol. 110(2), pages 213-233, June.
    3. Fishburn, Peter C., 1992. "Signed orders and power set extensions," Journal of Economic Theory, Elsevier, vol. 56(1), pages 1-19, February.
    4. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    5. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    6. Prasanta K. PATTANAIK & Yongsheng XU, 1990. "On Ranking Opportunity Sets in Terms of Freedom of Choice," Discussion Papers (REL - Recherches Economiques de Louvain) 1990036, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    7. Kannai, Yakar & Peleg, Bezalel, 1984. "A note on the extension of an order on a set to the power set," Journal of Economic Theory, Elsevier, vol. 32(1), pages 172-175, February.
    8. Burani, Nadia & Zwicker, William S., 2003. "Coalition formation games with separable preferences," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 27-52, February.
    9. Biung-Ghi Ju, 2003. "A characterization of strategy-proof voting rules for separable weak orderings," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(3), pages 469-499, December.
    10. Anna Bogomolnaia & Herve Moulin, 2004. "Random Matching Under Dichotomous Preferences," Econometrica, Econometric Society, vol. 72(1), pages 257-279, January.
    11. Dolors Berga & Gustavo Berganti?s & Jordi MassóAuthor-Email: jordi.masso@uab.es & Alejandro Neme, 2002. "Voting by Committees with Exit," UFAE and IAE Working Papers 511.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    12. Jones, Peter & Sugden, Robert, 1982. "Evaluating choice," International Review of Law and Economics, Elsevier, vol. 2(1), pages 47-65, June.
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    Cited by:

    1. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
    2. Arlegi, Ritxar & Dimitrov, Dinko, 2011. "On freedom, lack of information and the preference for easy choices," Center for Mathematical Economics Working Papers 364, Center for Mathematical Economics, Bielefeld University.
    3. Dimitrov, Dinko & Haake, Claus-Jochen, 2011. "Regrouping of endowments in exchange markets with indivisible goods," Center for Mathematical Economics Working Papers 367, Center for Mathematical Economics, Bielefeld University.
    4. Arlegi, Ritxar & Dimitrov, Dinko, 2016. "Power set extensions of dichotomous preferences," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 20-29.
    5. Ricardo Arlegi & Dinko Dimitrov, 2006. "On Freedom of Choice, Ambiguity, and the Preference for Easy Choices," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0607, Departamento de Economía - Universidad Pública de Navarra.

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    More about this item

    JEL classification:

    • D6 - Microeconomics - - Welfare Economics
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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