Separability and aggregation of equivalence relations
We provide axiomatic characterizations of two natural families of rules for aggregating equivalence relations: the family of join aggregators and the family of meet aggregators. The central conditions in these characterizations are two separability axioms. Disjunctive separability, neutrality, and unanimity characterize the family of join aggregators. On the other hand, conjunctive separability and unanimity characterize the family of meet aggregators. We show another characterization of the family of meet aggregators using conjunctive separability and two Pareto axioms, Pareto+ and Pareto-. If we drop Pareto-, then conjunctive separability and Pareto+ characterize the family of meet aggregators along with a trivial aggregator
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- Miller, Alan D., 2008. "Group identification," Games and Economic Behavior, Elsevier, vol. 63(1), pages 188-202, May.
- Dimitrov, Dinko & Puppe, Clemens, 2011.
"Non-bossy social classification,"
Mathematical Social Sciences,
Elsevier, vol. 62(3), pages 162-165.
- Dinko Dimitrov & Clemens Puppe, 2009. "Non-bossy Social Classification," Working Papers 2009.101, Fondazione Eni Enrico Mattei.
- Dimitrov, Dinko & Puppe, Clemens, 2011. "Non-bossy social classification," Working Paper Series in Economics 23, Karlsruhe Institute of Technology (KIT), Department of Economics and Business Engineering.
- J. Barthélemy, 1988. "Comments on “aggregation of equivalence relations” by P. C. Fishburn and A. Rubinstein," Journal of Classification, Springer, vol. 5(1), pages 85-87, March.
- Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
- Murat Çengelci & M. Sanver, 2010. "Simple Collective Identity Functions," Theory and Decision, Springer, vol. 68(4), pages 417-443, April.
- Dimitrov, D.A. & Sung, S.C. & Xu, Y., 2003.
"Procedural Group Identification,"
2003-10, Tilburg University, Center for Economic Research.
- 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.
- David Schmeidler, 2000.
"Between LIberalism and Democracy,"
00-08, Ohio State University, Department of Economics.
- Rubinstein, Ariel & Fishburn, Peter C., 1986. "Algebraic aggregation theory," Journal of Economic Theory, Elsevier, vol. 38(1), pages 63-77, February.
- 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.
- Leclerc, B., 1984. "Efficient and binary consensus functions on transitively valued relations," Mathematical Social Sciences, Elsevier, vol. 8(1), pages 45-61, August.
- Peter Fishburn & Ariel Rubinstein, 1986. "Aggregation of equivalence relations," Journal of Classification, Springer, vol. 3(1), pages 61-65, March.
- Dean Neumann & Victor Norton, 1986. "Clustering and isolation in the consensus problem for partitions," Journal of Classification, Springer, vol. 3(2), pages 281-297, September.
- John Geanakoplos, 2005. "Three brief proofs of Arrow’s Impossibility Theorem," Economic Theory, Springer, vol. 26(1), pages 211-215, 07.
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