Corrections to “Positively responsive collective choice rules and majority rule: a generalization of May's theorem to many alternatives” (International Economic Review 60 (2019), 1489–1504)

• DOI: http://doi.org/10.1111/iere.12472
• Date: 01 August 2020
• Published date: 01 August 2020

INTERNATIONALECONOMIC REVIEW

Vol. 61, No. 3, August 2020 DOI: 10.1111/iere.12472

CORRECTIONS TO “POSITIVELY RESPONSIVE COLLECTIVE CHOICE RULES

AND MAJORITY RULE: A GENERALIZATION OF MAY’S THEOREM TO MANY

ALTERNATIVES” (INTERNATIONAL ECONOMIC REVIEW 60 (2019), 1489–1504)

Our specification of the domains for which May’s theorem (p. 1493) holds is not correct. The

phrase “let Dbe a domain” in the first sentence of our statement of the theorem should

be replaced by “let Dbe a domain with the property that for any set X⊆Aand preference

profile ∈D(X), any profile obtained from by an N-permutation or an A-permutation

[p. 1492] is in D(X).” None of the subsequent results in the paper are affected by this correc-

tion.

On p. 1495, in the third line of the last paragraph of the proof of Theorem 1, “improvement

of ” should be “improvement  of ”.

REFERENCE

Horan,S.,M. J. Osborne,andM.R.Sanver, “Positively responsive collective choice rules and major-

ity rule: a generalization of May’s theorem to many alternatives,” International Economic Review 60

(2019), 1489–1504.

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© (2020) by the Economics Department of the University of Pennsylvania and the Osaka University Institute of So-

cial and Economic Research Association