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Good and bad objects: cardinality-based rules

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Author Info
Dimitrov, D.
Borm, P.
Hendrickx, R. (Tilburg University, Center for Economic Research)

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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 di.erence 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.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 49.

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Date of creation: 2003
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Handle: RePEc:dgr:kubcen:200349

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Find related papers by 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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  1. Samet, Dov & Schmeidler, David, 2003. "Between liberalism and democracy," Journal of Economic Theory, Elsevier, vol. 110(2), pages 213-233, June. [Downloadable!] (restricted)
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  2. BARBERA, Salvador & BOSSERT, Walter & PATTANAIK, Prasanta K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Universite de Montreal, Departement de sciences economiques. [Downloadable!]
    Other versions:
  3. Salvador Barbera & Hugo Sonnenschein & Lin Zhou, 1990. "Voting by Committees," Cowles Foundation Discussion Papers 941, Cowles Foundation, Yale University. [Downloadable!]
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    • Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
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  8. 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). [Downloadable!]
  9. A. Rubinstein & A. Kasher, 1998. "On the Question "Who is a J?": A Social Choice Approach," Princeton Economic Theory Papers 00s5, Economics Department, Princeton University.
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  1. Arlegi, Ritxar & Dimitrov, Dinko, 2008. "Dichotomous Preferences and Power Set Extensions," Discussion Papers in Economics 6431, University of Munich, Department of Economics. [Downloadable!]
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