Majority relation and median representative ordering
This paper presents results on the transitivity of the majority relation and the existence of a median representative ordering. Building on the notion of intermediate preferences indexed by a median graph, the analysis extends well-known results obtained when the underlying graph is a line. In contrast with other types of restrictions such as single-peakedness, intermediate preferences allow for a clear distinction between restrictions on the set of preferences characteristics and those on the set of alternatives.
|Date of creation:||Mar 2011|
|Note:||View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00581310|
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- Hansen, Pierre & Thisse, Jacques-Francois, 1981. "Outcomes of voting and planning : Condorcet, Weber and Rawls locations," Journal of Public Economics, Elsevier, vol. 16(1), pages 1-15, August.
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- Barberà, Salvador & Moreno, Bernardo, 2011.
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Elsevier, vol. 73(2), pages 345-359.
- Salvador Barberà & Bernardo Moreno, 2008. "Top Monotonicity: A Common Root for Single Peakedness, Single Crossing and the Median Voter Result," Working Papers 2008-9, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.
- Salvador Barberà & Bernardo Moreno, 2010. "Top monotonicity: A common root for single peakedness, single crossing and the median voter result," Working Papers 297, Barcelona Graduate School of Economics.
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- Demange, Gabrielle, 1994. "Intermediate preferences and stable coalition structures," Journal of Mathematical Economics, Elsevier, vol. 23(1), pages 45-58, January.
- Demange, G., 1991. "Intermediate Preferences and Stable Coalition Structures," DELTA Working Papers 91-16, DELTA (Ecole normale supérieure).
- Gabrielle Demange, 1994. "Intermediate Preferences and Stable Coalition Structures," Post-Print halshs-00670920, HAL.
- H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
- Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-330, March.
- Bandelt, Hans-Jurgen, 1985. "Networks with condorcet solutions," European Journal of Operational Research, Elsevier, vol. 20(3), pages 314-326, June. Full references (including those not matched with items on IDEAS)
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