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Correspondences in the Theory of Aggregation

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Logic and the Foundations of Game and Decision Theory – LOFT 8 (LOFT 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6006))

Abstract

The paper studies the interrelationships between the social-theoretic problems of preference and judgment aggregation from the perspective of formal logic. The result of the paper is twofold. On the one hand, preference aggregation on total preorders is proven equivalent to the aggregation of specific types of judgments. On the other hand, judgment aggregation on propositional logic is proven equivalent to the aggregation of specific types of preferences. This shows how the aggregation of preferences and judgments can be viewed, in fact, as the two faces of a same coin.

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Author information

Authors and Affiliations

  1. Institute of Logic, Language and Computation, Universiteit van Amsterdam, Postbus 94242, 1090, GE, Amsterdam, The Netherlands

    Davide Grossi

Authors
  1. Davide Grossi
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Editor information

Editors and Affiliations

  1. Department of Economics, University of California, One Shields Avenue, 95616-8578, Davis, CA, USA

    Giacomo Bonanno

  2. Institute for Logic, Language and Computation (ILLC), Universiteit van Amsterdam, P.O. Box 94242, 1090 GE, Amsterdam, The Netherlands

    Benedikt Löwe

  3. Department of Computer Science, University of Liverpool, L69 7ZF, Liverpool, UK

    Wiebe van der Hoek

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Grossi, D. (2010). Correspondences in the Theory of Aggregation. In: Bonanno, G., Löwe, B., van der Hoek, W. (eds) Logic and the Foundations of Game and Decision Theory – LOFT 8. LOFT 2008. Lecture Notes in Computer Science(), vol 6006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15164-4_3

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  • DOI: https://doi.org/10.1007/978-3-642-15164-4_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15163-7

  • Online ISBN: 978-3-642-15164-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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