Scoring rules for judgment aggregation
This paper introduces a new class of judgment aggregation rules, to be called 'scoring rules' after their famous counterparts in preference aggregation theory. A scoring rule generates the collective judgment set which reaches the highest total 'score' across the individuals, sub...
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Published in | Social choice and welfare Vol. 42; no. 4; pp. 873 - 911 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer
01.04.2014
Springer Berlin Heidelberg Springer Nature B.V Springer Verlag |
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Abstract | This paper introduces a new class of judgment aggregation rules, to be called 'scoring rules' after their famous counterparts in preference aggregation theory. A scoring rule generates the collective judgment set which reaches the highest total 'score' across the individuals, subject to the judgment set having to be rational. Depending on how we define 'scores', we obtain several (old and new) solutions to the judgment aggregation problem, such as distance-based aggregation, premise- and conclusion-based aggregation, truth-tracking rules, and a generalization of the Borda rule to judgment aggregation theory. Scoring rules are shown to generalize the classical scoring rules of preference aggregation theory. |
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AbstractList | This paper introduces a new class of judgment aggregation rules, to be called 'scoring rules' after their famous counterparts in preference aggregation theory. A scoring rule generates the collective judgment set which reaches the highest total 'score' across the individuals, subject to the judgment set having to be rational. Depending on how we define 'scores', we obtain several (old and new) solutions to the judgment aggregation problem, such as distance-based aggregation, premise- and conclusion-based aggregation, truth-tracking rules, and a generalization of the Borda rule to judgment aggregation theory. Scoring rules are shown to generalize the classical scoring rules of preference aggregation theory. This paper introduces a new class of judgment aggregation rules, to be called 'scoring rules' after their famous counterparts in preference aggregation theory. A scoring rule generates the collective judgment set which reaches the highest total 'score' across the individuals, subject to the judgment set having to be rational. Depending on how we define 'scores', we obtain several (old and new) solutions to the judgment aggregation problem, such as distance-based aggregation, premise- and conclusion-based aggregation, truth-tracking rules, and a generalization of the Borda rule to judgment aggregation theory. Scoring rules are shown to generalize the classical scoring rules of preference aggregation theory.[PUBLICATION ABSTRACT] This paper introduces a new class of judgment aggregation rules, to be called 'scoring rules' after their famous counterparts in preference aggregation theory. A scoring rule generates the collective judgment set which reaches the highest total 'score' across the individuals, subject to the judgment set having to be rational. Depending on how we define 'scores', we obtain several (old and new) solutions to the judgment aggregation problem, such as distance-based aggregation, premise- and conclusion-based aggregation, truth-tracking rules, and a generalization of the Borda rule to judgment aggregation theory. Scoring rules are shown to generalize the classical scoring rules of preference aggregation theory. Adapted from the source document. This paper introduces a new class of judgment aggregation rules, to be called 'scoring rules' after their famous counterparts in preference aggregation theory. A scoring rule generates the collective judgment set which reaches the highest total 'score' across the individuals, subject to the judgment set having to be rational. Depending on how we define 'scores', we obtain several (old and new) solutions to the judgment aggregation problem, such as distance-based aggregation, premise- and conclusion-based aggregation, truth-tracking rules, and a generalization of the Borda rule to judgment aggregation theory. Scoring rules are shown to generalize the classical scoring rules of preference aggregation theory. Reprinted by permission of Springer |
Author | Dietrich, Franz |
Author_xml | – sequence: 1 givenname: Franz surname: Dietrich fullname: Dietrich, Franz |
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Keywords | social choice Kemeny rule judgment aggregation Borda rule scoring rules distance-based aggregation |
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Snippet | This paper introduces a new class of judgment aggregation rules, to be called 'scoring rules' after their famous counterparts in preference aggregation theory.... This paper introduces a new class of judgment aggregation rules, to be called ‘scoring rules’ after their famous counterparts in preference aggregation theory.... |
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SubjectTerms | Aggregation Algebra Analysis Choices Collective behaviour Decision Making Economic Models Economic theory Economic Theory/Quantitative Economics/Mathematical Methods Economics Economics and Finance Entailment Game Theory Humanities and Social Sciences Individuals International Political Economy Judgement Judgment Majority voting Mathematical functions Mathematical vectors Original Paper Paradoxes Preferences Präferenztheorie Public choice Public Finance Social and Behav. Sciences Social Class Social conditions & trends Social Policy Social research Social welfare Studies Truth Voting paradox |
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Title | Scoring rules for judgment aggregation |
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