Abstract
Several recent articles have defined and studied judgment aggregation rules based on some minimization principle. Although some of them are defined by analogy with some voting rules, the exact connection between these rules and voting rules is not always obvious. We explore these connections and show how several well-known voting rules such as the top cycle, Copeland, maximin, Slater or ranked pairs, are recovered as specific cases of judgment aggregation rules.
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Baigent, N.: Metric rationalization of social choice functions according to principles of social choice. Mathematical Social Science 14(1), 59–65 (1987)
Brill, M., Fischer, F.A.: The price of neutrality for the ranked pairs method. In: AAAI (2012)
Dietrich, F.: Scoring rules for judgment aggregation. MPRA paper, University Library of Munich, Germany (2012)
Dietrich, F., List, C.: Arrow’s theorem in judgment aggregation. Social Choice and Welfare 29(1), 19–33 (2007)
Dietrich, F., List, C.: Judgment aggregation under constraints. In: Boylan, T., Gekker, R. (eds.) Economics, Rational Choice and Normative Philosophy, Routledge (2008)
Duddy, C., Piggins, A.: A measure of distance between judgment sets. Social Choice and Welfare 39, 855–867 (2012)
Elkind, E., Faliszewski, P., Slinko, A.: On distance rationalizability of some voting rules. In: TARK, pp. 108–117 (2009)
Elkind, E., Faliszewski, P., Slinko, A.: Rationalizations of condorcet-consistent rules via distances of hamming type. Social Choice and Welfare 39(4), 891–905 (2012)
Endriss, U., Grandi, U., Porello, D.: Complexity of judgment aggregation. Journal Artificial Intelligence Research (JAIR) 45, 481–514 (2012)
Eckert, D., Mitlöhner, J.: Logical representation and merging of preference information. In: Proceedings of the IJCAI 2005 Multidisciplinary Workshop on Preference Handling (2005)
Grandi, U., Endriss, U.: Lifting integrity constraints in binary aggregation. Artificial Intelligence, 199–200, 45–66 (2013)
Klamler, C.: Borda and condorcet: some distance results. Theory and Decision 59(2), 97–109 (2005)
Klamler, C.: The copeland rule and condorcet’s pirnciple. Economic Theory 25(3), 745–749 (2005)
Konieczny, S., Pino-Pérez, R.: Merging information under constraints: a logical framework. Journal of Logic and Computation 12(5), 773–808 (2002)
Lang, J., Pigozzi, G., Slavkovik, M., van der Torre, L.: Judgment aggregation rules based on minimization. In: TARK, pp. 238–246 (2011)
Meskanen, T., Nurmi, H.: Closeness counts in social choice. In: Power, Freedom, and Voting, pp. 289–306. Springer (2008)
Miller, M.K., Osherson, D.: Methods for distance-based judgment aggregation. Social Choice and Welfare 32(4), 575–601 (2009)
Nehring, K., Pivato, M., Puppe, C.: Condorcet admissibility: Indeterminacy and path-dependence under majority voting on interconnected decisions (July 2011), http://mpra.ub.uni-muenchen.de/32434/
Tideman, T.N.: Independence of clones as a criterion for voting rules. Social Choice and Welfare 4, 185–206 (1987)
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Lang, J., Slavkovik, M. (2013). Judgment Aggregation Rules and Voting Rules. In: Perny, P., Pirlot, M., Tsoukiàs, A. (eds) Algorithmic Decision Theory. ADT 2013. Lecture Notes in Computer Science(), vol 8176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41575-3_18
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DOI: https://doi.org/10.1007/978-3-642-41575-3_18
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