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: | 36892 |
Depositing User: | Franz Dietrich |
Date Deposited: | 24 Feb 2012 14:31 |
Last Modified: | 26 Sep 2019 22:58 |
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. (2007) A generalised model of judgment aggregation, Social Choice and Welfare 28(4): 529-565 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 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 Eckert, D., Klamler, C. (2009) A geometric approach to paradoxes of majority voting: from anscombe's paradox to the discursive dilemma with Saari and Nurmi, Homo Oeconomicus 26: 471-488 Grofman, B., Owen, G., Feld, S. L. (1983) Thirteen Theorems in Search of the Truth, Theory and Decision 15: 261--278 Konieczny, S., Pino-Perez, R. (2002) Merging information under constraints: a logical framework, Journal of Logic and Computation 12: 773-808 Kornhauser, L. A., Sager, L. G. (1986) Unpacking the Court. Yale Law Journal 96(1): 82-117 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) Miller, M. K., Osherson, D. (2008) Methods for distance-based judgment aggregation, Social Choice and Welfare 32(4): 575--601 Myerson, R. B. (1995) Axiomatic derivation of scoring rules without the ordering assumption, Social Choice and Welfare 12 (1): 59--74 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 Nehring, K., Puppe, C. (2010a) Abstract Arrowian Aggregation, Journal of Economic Theory 145: 467-494 Nehring, K., Puppe, C. (2010b) Justifiable Group Choice, Journal of Economic Theory 145: 583-602 Pettit, P. (2001) Deliberative Democracy and the Discursive Dilemma. Philosophical Issues 11: 268-299 Pigozzi, G. (2006) Belief merging and the discursive dilemma: an argument-based account to paradoxes of judgment aggregation. Synthese 152(2): 285-298 Pivato, M. (2011a) Voting rules as statistical estimators, Working Paper, Trent University, Canada Pivato, M. (2011b) Variable-population voting rules, Working Paper, Trent University, Canada Smith, J. H. (1973) Aggregation of preferences with variable electorate, Econometrica 41: 1027-41 Wilson R (1975) On the Theory of Aggregation, Journal of Economic Theory 10: 89-99 Young, H. P. (1975) Social choice scoring functions, SIAM J. Appl. Math. 28: 824-38 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. (2008) Consistency without neutrality in voting rules: When is a vote an average? Math. Comput. Modelling 48: 1357-73 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/36892 |
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Scoring rules for judgment aggregation. (deposited 31 Dec 2011 22:02)
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