Majority relation and median representative ordering
AbstractThis 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.
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Date of creation: Mar 2011
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majority rule ; median graph ; tree ; Condorcet winner ; intermediate preferences;
Other versions of this item:
- Gabrielle Demange, 2012. "Majority relation and median representative ordering," SERIEs, Spanish Economic Association, vol. 3(1), pages 95-109, March.
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-04-09 (All new papers)
- NEP-CDM-2011-04-09 (Collective Decision-Making)
- NEP-POL-2011-04-09 (Positive Political Economics)
- NEP-UPT-2011-04-09 (Utility Models & Prospect Theory)
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