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The possibility of judgment aggregation on agendas with subjunctive implications

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  • Franz Dietrich
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    Abstract

    The new field of judgment aggregation aims to find collective judgments on logically interconnected propositions. Recent impossibility results establish limitations on the possibility to vote independently on the propositions. I show that, fortunately, the impossibility results do not apply to a wide class of realistic agendas once propositions like “if a then b” are adequately modelled, namely as subjunctive implications rather than material implications. For these agendas, consistent and complete collective judgments can be reached through appropriate quota rules (which decide propositions using acceptance thresholds). I characterise the class of these quota rules. I also prove an abstract result that characterises consistent aggregation for arbitrary agendas in a general logic.

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    File URL: http://eprints.lse.ac.uk/27899/
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    Bibliographic Info

    Paper provided by London School of Economics and Political Science, LSE Library in its series LSE Research Online Documents on Economics with number 27899.

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    Date of creation: Mar 2010
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    Publication status: Published in Journal of Economic Theory, March, 2010, 145(2), pp. 603-638. ISSN: 1095-7235
    Handle: RePEc:ehl:lserod:27899

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    Related research

    Keywords: ISI; Judgment aggregation; Subjunctive implication; Material implication; Characterisation of possibility agendas;

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    1. Franz Dietrich, 2005. "Judgment aggregation in general logics," Public Economics 0505007, EconWPA.
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