Condorcet admissibility: Indeterminacy and path-dependence under majority voting on interconnected decisions
AbstractJudgement aggregation is a model of social choice where the space of social alternatives is the set of consistent evaluations (`views') on a family of logically interconnected propositions, or yes/no-issues. Unfortunately, simply complying with the majority opinion in each issue often yields a logically inconsistent collection of judgements. Thus, we consider the Condorcet set: the set of logically consistent views which agree with the majority in as many issues as possible. Any element of this set can be obtained through a process of diachronic judgement aggregation, where the evaluations of the individual issues are decided through a sequence of majority votes unfolding over time, with earlier decisions possibly imposing logical constraints on later decisions. Thus, for a fixed profile of votes, the ultimate social choice can depend on the order in which the issues are decided; this is called path dependence. We investigate the size and structure of the Condorcet set ---and hence the scope and severity of path-dependence ---for several important classes of judgement aggregation problems.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 32434.
Date of creation: 24 Jul 2011
Date of revision:
judgement aggregation; diachronic; path-dependence; indeterminacy; Condorcet; median rule; majoritarian;
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-2011-08-02 (All new papers)
- NEP-CDM-2011-08-02 (Collective Decision-Making)
- NEP-MIC-2011-08-02 (Microeconomics)
- NEP-ORE-2011-08-02 (Operations Research)
- NEP-POL-2011-08-02 (Positive Political Economics)
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