Dietrich, Franz (2011): Scoring rules for judgment aggregation.
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Abstract
This paper studies a class of judgment aggregation rules, to be called `scoring rules' after their famous counterpart in preference aggregation theory. A scoring rule delivers the collective judgments which reach the highest total `score' across the individuals, subject to the judgments 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 Borda-type rule. Scoring rules are shown to generalize the classical scoring rules of preference aggregation theory.
Item Type: | MPRA Paper |
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Original Title: | Scoring rules for judgment aggregation |
Language: | English |
Keywords: | judgment aggregation, social choice, scoring rules, Hamming rule, Borda rule, premise- and conclusion-based rules |
Subjects: | D - Microeconomics > D7 - Analysis of Collective Decision-Making > D70 - General D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice ; Clubs ; Committees ; Associations |
Item ID: | 35657 |
Depositing User: | Franz Dietrich |
Date Deposited: | 31 Dec 2011 22:02 |
Last Modified: | 10 Oct 2019 11:57 |
References: | Austen-Smith, D., Banks, J. (1996) Information Aggregation, Rationality, and the Condorcet Jury Theorem, American Political Science Review 90: 34�45 Bovens, L., Rabinowicz, W. (2006) Democratic answers to complex questions: an epistemic perspective, Synthese 150(1): 131-153 Bozbay, I., Dietrich, F., Peters, H. (2011) Judgment aggregation in search for the truth,working paper, London School of Economics Condorcet, Marquis, D. (1785) Essai sur l�application de l�analyse á la probabilité des décisions rendues á la pluralité des voix Dietrich, F. (2006a) Judgment aggregation: (im)possibility theorems, Journal of Economic Theory 126(1): 286-298 Dietrich, F. (2006b) General representation of epistemically optimal procedures, Social Choice and Welfare 26(2): 263-283 Dietrich, F. (2010) The possibility of judgment aggregation on agendas with subjunctive implications, Journal of Economic Theory 145(2): 603-638 Dietrich, F., List, C. (2007a) Arrow�s theorem in judgment aggregation, Social Choice 22 and Welfare 29(1): 19-33 Dietrich, F., List, C. (2007b) Judgment aggregation by quota rules: majority voting generalized, Journal of Theoretical Politics 19(4): 391-424 Dietrich, F., List, C. (2010) Majority voting on restricted domains, Journal of Economic Theory 145(2): 512-543 Dietrich, F., Mongin, P. (2010) The premise-based approach to judgment aggregation, Journal of Economic Theory 145(2): 562-582 Duddy, C., Piggins, A. (2011) A measure of distance between judgment sets, working paper, National University of Ireland Galway Grofman, B., Owen, G., Feld, S. L. (1983) Thirteen Theorems in Search of the Truth,Theory and Decision 15: 261�278 List, C. (2004) A Model of Path Dependence in Decisions over Multiple Propositions,American Political Science Review 98(3): 495-513 List, C. (2005) The probability of inconsistencies in complex collective decisions, Social Choice and Welfare 24(1): 3-32 List, C., Pettit, P. (2002) Aggregating sets of judgments: an impossibility result, Economics and Philosophy 18(1): 89-110 List, C., Polak, B. eds. (2010) Symposium on Judgment Aggregation, Journal of Economic Theory 145(2) Myerson, R. B. (1995) Axiomatic derivation of scoring rules without the ordering assumption, Social Choice and Welfare 12 (1): 59�74 Nehring, K., Puppe, C. (2010a) Abstract Arrowian Aggregation, Journal of Economic Theory 145: 467-494 Nehring, K., Puppe, C. (2010b) Justi�able Group Choice, Journal of Economic Theory 145: 583-602 Nehring, K., Pivato, M., Puppe, C. (2011) Condorcet admissibility: indeterminacy and path-dependence under majority voting on interconnected decisions, working paper, University of California at Davis Pivato, M. (2011) Voting rules as statistical estimators, Working Paper, Trent University,Canada Wilson R (1975) On the Theory of Aggregation, Journal of Economic Theory 10: 89-99 Young, H. P. (1995) Optimal voting rules, Journal of Economic Perspectives 9 (1): 51�64 Zwicker, W. (1991) The voters�paradox, spin, and the Borda count, Mathematical Social Sciences 22, 187-227 Zwicker, W. (2011) Towards a "Borda count" for judgment aggregation, extended abstract, presented at the conference �Judgment Aggregation and Voting�, Karlsruhe Institute of Technology |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/35657 |
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