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Good and Bad Objects : Cardinality-Based Rules

Author

Listed:
  • Dimitrov, D.A.

    (Tilburg University, Center For Economic Research)

  • Borm, P.E.M.

    (Tilburg University, Center For Economic Research)

  • Hendrickx, R.L.P.

    (Tilburg University, Center For Economic Research)

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 three cardinality-based rules which arise naturally in this dichotomous setting.They are what we call the symmetric difference rule, the lexicographic good-bad rule, and the lexicographic bad-good rule.Each of these rules induces a unique additive separable preference relation over the set of all groups of objects.

Suggested Citation

  • Dimitrov, D.A. & Borm, P.E.M. & Hendrickx, R.L.P., 2003. "Good and Bad Objects : Cardinality-Based Rules," Discussion Paper 2003-49, Tilburg University, Center for Economic Research.
  • Handle: RePEc:tiu:tiucen:be8831b3-40d4-4af0-93d3-41642e0f453b
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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. Fishburn, Peter C., 1992. "Signed orders and power set extensions," Journal of Economic Theory, Elsevier, vol. 56(1), pages 1-19, February.
    3. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    4. 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).
    5. Jones, Peter & Sugden, Robert, 1982. "Evaluating choice," International Review of Law and Economics, Elsevier, vol. 2(1), pages 47-65, June.
    6. 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.
    7. Burani, Nadia & Zwicker, William S., 2003. "Coalition formation games with separable preferences," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 27-52, February.
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    More about this item

    Keywords

    welfare economics; ranking;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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