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One Person, Many Votes: Divided Majority and Information Aggregation
Author(s) -
Bouton Laurent,
Castanheira Micael
Publication year - 2012
Publication title -
econometrica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 16.7
H-Index - 199
eISSN - 1468-0262
pISSN - 0012-9682
DOI - 10.3982/ecta9111
Subject(s) - equivalence (formal languages) , voting , majority rule , preference , information aggregation , computer science , mathematical economics , value (mathematics) , microeconomics , economics , political science , mathematics , data mining , artificial intelligence , law , discrete mathematics , machine learning , politics
This paper shows that information imperfections and common values can solve coordination problems in multicandidate elections. We analyze an election in which (i) the majority is divided between two alternatives and (ii) the minority backs a third alternative, which the majority views as strictly inferior. Standard analyses assume voters have a fixed preference ordering over candidates. Coordination problems cannot be overcome in such a case, and it is possible that inferior candidates win. In our setup the majority is also divided as a result of information imperfections. The majority thus faces two problems: aggregating information and coordinating to defeat the minority candidate. We show that when the common value component is strong enough, approval voting produces full information and coordination equivalence : the equilibrium is unique and solves both problems. Thus, the need for information aggregation helps resolve the majority's coordination problem under approval voting. This is not the case under standard electoral systems.

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