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AN00234610-20170101-0061.pdf
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Title |
Title |
最尤法を用いた集約ルールの設計
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Kana |
サイユウホウ オ モチイタ シュウヤク ルール ノ セッケイ
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Romanization |
Saiyuho o mochiita shuyaku ruru no sekkei
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Other Title |
Title |
Maximum likelihood social choice rule
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Creator |
Name |
中村, 祐太
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Kana |
ナカムラ, ユウタ
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Romanization |
Nakamura, Yuta
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Affiliation |
慶應義塾大学大学院経済学研究科
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Affiliation (Translated) |
Graduate School of Economics, Keio University
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慶應義塾経済学会
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Kana |
ケイオウ ギジュク ケイザイ ガッカイ
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Romanization |
Keio gijuku keizai gakkai
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Issued (from:yyyy) |
2017
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Name |
三田学会雑誌
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Name (Translated) |
Mita journal of economics
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Volume |
109
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Issue |
4
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Year |
2017
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1
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Start page |
615(61)
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End page |
632(78)
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Abstract |
本稿では, 選択肢の集合上における"正しい"社会的順序を, 投票者の順序付けから見つけ出す方法(集約ルール)について考察する。本稿の目的は, 統計学の手法である最尤法を用いて新たな集約ルールを設計し, その性能を分析することである。本稿で設計する新たな集約ルールは, 投票者たちの順序付けプロファイルが与えられると, 正しい社会的順序のトップと考えるのが"最も尤もらしい"選択肢を選び取る。さらに, この集約ルールは正しい社会的順序のトップの選択肢を, 他のどのような中立的集約ルールよりも高い確率で選び取る。
This study is related to a Condorcetian problem of information aggregation that finds a "true" social ordering using individual orderings, that are supposed to partly contain the "truth". In this problem, we introduce a new maximum likelihood rule and analyze its performance. This rule selects an alternative that maximizes the probability of realizing individual orderings, conditional on the alternative being the top according to a true social ordering. We show that under a neutrality condition of alternatives, the probability that our rule selects the true top alternative is higher than that of any other rule.
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Keyword |
maximum likelihood method
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History |
Jan 9, 2018 | | フリーキーワード, 抄録, 版, 本文 を変更 |
Jul 29, 2019 | | 著者 を変更 |
Oct 27, 2021 | | JaLCDOI を変更 |
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