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Non-bossy social classification

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  • Dimitrov, Dinko
  • Puppe, Clemens

Abstract

We consider the problem of how societies should be partitioned into classes if individuals express their views about who should be put with whom in the same class. A non-bossy social aggregator depends only on those cells of the individual partitions the society members classify themselves in. This fact allows us to concentrate on a corresponding 'opinion graph' for each profile of views. By means of natural sovereignty, liberalism, and equal treatment requirements, we characterize the non-bossy aggregators generating partitions in which the social classes are refinements of the weakly connected components of the opinion graph. --

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Bibliographic Info

Paper provided by Karlsruhe Institute of Technology (KIT), Department of Economics and Business Engineering in its series Working Paper Series in Economics with number 23.

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Date of creation: 2011
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Handle: RePEc:zbw:kitwps:23

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Web page: http://www.wiwi.kit.edu/
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Keywords: social aggregation; group identity; liberalism; non-bossiness;

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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.
  2. Dimitrov, D.A. & Sung, S.C. & Xu, Y., 2003. "Procedural Group Identification," Discussion Paper 2003-10, Tilburg University, Center for Economic Research.
  3. Nicolas, Houy, 2007. ""I want to be a J!": Liberalism in group identification problems," Mathematical Social Sciences, Elsevier, vol. 54(1), pages 59-70, July.
  4. Satterthwaite, Mark A & Sonnenschein, Hugo, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," Review of Economic Studies, Wiley Blackwell, vol. 48(4), pages 587-97, October.
  5. Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
  6. Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
  7. Peter Fishburn & Ariel Rubinstein, 1986. "Aggregation of equivalence relations," Journal of Classification, Springer, vol. 3(1), pages 61-65, March.
  8. Jean-Pierre Barthélemy & Bruno Leclerc & Bernard Monjardet, 1986. "On the use of ordered sets in problems of comparison and consensus of classifications," Journal of Classification, Springer, vol. 3(2), pages 187-224, September.
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Cited by:
  1. Dinko Dimitrov & Thierry Marchant & Debasis Mishra, 2009. "Separability and aggregation of equivalence relations," Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers 09-06, Indian Statistical Institute, New Delhi, India.

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