TY - JOUR
T1 - Cosine similarity and the Borda rule
AU - Kawada, Yoko
N1 - Funding Information:
Acknowledgements The author thanks Toyotaka Sakai for valuable comments and discussions. I also thank Takako Fujiwara-Greve, Toru Hokari, Noriaki Okamoto, Satoshi Nakada, and participants of the Annual Meeting of Japanese Economic Association in October 2015 at Sophia University, the 21st Decentralized Conference at Keio University, and the Summer Meeting on Game Theory 2015 in Shizuoka for insightful comments. I especially thank two anonymous referees for helpful comments. All remaining mistakes are my own. This research is financially supported by Keio Economic Association.
Publisher Copyright:
© 2017, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2018/6/1
Y1 - 2018/6/1
N2 - Cosine similarity is a commonly used similarity measure in computer science. We apply this similarity measure to define a voting rule, namely, the cosine similarity rule. This rule selects a social ranking that maximizes cosine similarity between the social ranking and a given preference profile. Our main finding is that the cosine similarity rule in fact coincides with the Borda rule.
AB - Cosine similarity is a commonly used similarity measure in computer science. We apply this similarity measure to define a voting rule, namely, the cosine similarity rule. This rule selects a social ranking that maximizes cosine similarity between the social ranking and a given preference profile. Our main finding is that the cosine similarity rule in fact coincides with the Borda rule.
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U2 - 10.1007/s00355-017-1104-2
DO - 10.1007/s00355-017-1104-2
M3 - Article
AN - SCOPUS:85040009557
VL - 51
JO - Social Choice and Welfare
JF - Social Choice and Welfare
SN - 0176-1714
IS - 1
ER -