LEVEL r CONSENSUS AND STABLE SOCIAL CHOICE
AbstractWe propose the concept of level r consensus as a useful property of a preference profile which considerably enhances the stability of social choice. This concept involves a weakening of unanimity, the most extreme form of consensus. It is shown that if a preference profile exhibits level r consensus around a given preference relation, the associated majority relation is transitive. In addition, the majority relation coincides with the preference relation around which there is such consensus. Furthermore, if the level of consensus is sufficiently strong, the Condorcet winner is chosen by all the scoring rules. Level r consensus therefore ensures the Condorcet consistency of all scoring rules, thus eliminating the tension between decision rules inspired by ranking- based utilitarianism and the majority rule.
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Bibliographic InfoPaper provided by Ben-Gurion University of the Negev, Department of Economics in its series Working Papers with number 1305.
Length: 21 pages
Date of creation: 2013
Date of revision:
Social choice; unanimity; consensus; preference aggregation rules; transi- tivity; simple majority; scoring rules; invariance to rule selection;
Find related papers by JEL classification:
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-11-29 (All new papers)
- NEP-CDM-2013-11-29 (Collective Decision-Making)
- NEP-MIC-2013-11-29 (Microeconomics)
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- repec:hal:cesptp:halshs-00504974 is not listed on IDEAS
- Hannu Nurmi, 2004. "A Comparison of Some Distance-Based Choice Rules in Ranking Environments," Theory and Decision, Springer, vol. 57(1), pages 5-24, 08.
- Olivier Hudry & Bernard Monjardet, 2010.
"Consensus theories : An oriented survey,"
Documents de travail du Centre d'Economie de la Sorbonne
10057, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
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