Condorcet admissibility: Indeterminacy and path-dependence under majority voting on interconnected decisions

Klaus Nehring, Marcus Pivato and Clemens Puppe ()

MPRA Paper from University Library of Munich, Germany

Abstract: Judgement 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.

Keywords: judgement aggregation; diachronic; path-dependence; indeterminacy; Condorcet; median rule; majoritarian (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Date: 2011-07-24
New Economics Papers: this item is included in nep-cdm, nep-mic, nep-ore and nep-pol
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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