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Dichotomous Preferences and Power Set Extensions

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Author Info
Arlegi, Ritxar
Dimitrov, Dinko

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Abstract

This paper is devoted to the study of how to extend a dichotomous partition of a universal set X into good and bad objects to an ordering on the power set of X. We introduce a family of rules that naturally take into account the number of good objects and the number of bad objects, and provide axiomatic characterizations of two rules for ranking sets in such a context.

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Publisher Info
Paper provided by University of Munich, Department of Economics in its series Discussion Papers in Economics with number 6431.

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Date of creation: 07 Oct 2008
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Handle: RePEc:lmu:muenec:6431

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Related research
Keywords: dichotomy; objects; set extensions; ranking sets;

Find related papers by JEL classification:
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Biung-Ghi Ju, 2005. "An efficiency characterization of plurality social choice on simple preference domains," Economic Theory, Springer, vol. 26(1), pages 115-128, 07. [Downloadable!] (restricted)
  2. Fishburn, Peter C., 1992. "Signed orders and power set extensions," Journal of Economic Theory, Elsevier, vol. 56(1), pages 1-19, February. [Downloadable!] (restricted)
  3. Dimitrov, D. & Borm, P. & Hendrickx, R., 2003. "Good and bad objects: cardinality-based rules," Discussion Paper 49, Tilburg University, Center for Economic Research. [Downloadable!]
  4. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On diversity and freedom of choice," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 123-130, September. [Downloadable!] (restricted)
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  5. Dinko Dimitrov & Peter Borm & Ruud Hendrickx, 2004. "Good and bad objects: the symmetric difference rule," Economics Bulletin, Economics Bulletin, vol. 4(11), pages 1-7. [Downloadable!]
  6. 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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  7. Dimitrov, Dinko & Sung, Shao Chin & Xu, Yongsheng, 2007. "Procedural group identification," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 137-146, September. [Downloadable!] (restricted)
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  8. Dinko Dimitrov & Peter Borm & Ruud Hendrickx & Shao Sung, 2006. "Simple Priorities and Core Stability in Hedonic Games," Social Choice and Welfare, Springer, vol. 26(2), pages 421-433, April. [Downloadable!] (restricted)
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  9. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May. [Downloadable!] (restricted)
    Other versions:
  10. 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)
  11. Dolors Berga & Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2004. "Stability and voting by committees with exit," Social Choice and Welfare, Springer, vol. 23(2), pages 229-247, October. [Downloadable!] (restricted)
  12. Burani, Nadia & Zwicker, William S., 2003. "Coalition formation games with separable preferences," Mathematical Social Sciences, Elsevier, vol. 45(1), pages 27-52, February. [Downloadable!] (restricted)
  13. Bogomolnaia, Anna & Moulin, Herve & Stong, Richard, 2005. "Collective choice under dichotomous preferences," Journal of Economic Theory, Elsevier, vol. 122(2), pages 165-184, June. [Downloadable!] (restricted)
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