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Judgment aggregation by quota rules

  • Franz Dietrich

    (University of Konstanz, Germany)

  • Christian List

    (London School of Economics, United Kingdom)

It is known that majority voting among several individuals on logically interconnected propositions may generate irrational collective judgments. We generalize majority voting by considering quota rules, which accept each proposition if and only if the number of individuals accepting it exceeds some (proposition-specific) threshold. After characterizing quota rules, we prove necessary and sufficient conditions under which their outcomes satisfy various rationality conditions. We also consider sequential quota rules, which adjudicate propositions sequentially, letting earlier judgments constrain later ones. While ensuring rationality, sequential rules may be path-dependent. We characterize path-independence and prove its equivalence to strategy- proofness under mild conditions. Our results generalize earlier (im)possibility theorems.

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File URL: http://econwpa.repec.org/eps/pe/papers/0501/0501005.pdf
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Paper provided by EconWPA in its series Public Economics with number 0501005.

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Length: 22 pages
Date of creation: 18 Jan 2005
Date of revision:
Handle: RePEc:wpa:wuwppe:0501005
Note: Type of Document - pdf; pages: 22
Contact details of provider: Web page: http://econwpa.repec.org

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  1. Nehring, Klaus & Puppe, Clemens, 2007. "The structure of strategy-proof social choice -- Part I: General characterization and possibility results on median spaces," Journal of Economic Theory, Elsevier, vol. 135(1), pages 269-305, July.
  2. Christian List, 2002. "A Possibility Theorem on Aggregation Over Multiple Interconnected Propositions," Economics Series Working Papers 123, University of Oxford, Department of Economics.
  3. List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(01), pages 89-110, April.
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