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A quantitative discursive dilemma

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Abstract

The typical judgment aggregation problem in economics and other fields is the following: A group of people has to judge (estimate) the value of an uncertain variable y which is a function of k other variables, i.e. y = D(x1,...xk) . We analyze when it is possible for the group to arrive at collective judgments on the variables that respect D. We consider aggregators that fulfill Arrow's IIA-condition and neutrality. We show how possibility and impossibility depend on the functional form of D, and generalize Pettit's (2001) binary discursive dilemma. (revised ed. 2008)

Suggested Citation

  • Carl Andreas Claussen & Øistein Røisland., 2007. "A quantitative discursive dilemma," Working Paper 2007/07, Norges Bank, revised 24 Nov 2008.
  • Handle: RePEc:bno:worpap:2007_07
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    File URL: http://www.norges-bank.no/en/Published/Papers/Working-Papers/2007/WP-20077/
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    References listed on IDEAS

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    1. Carl Andreas Claussen & Øistein Røisland, 2005. "Collective economic decisions and the discursive dilemma," Working Paper 2005/3, Norges Bank.
    2. Franz Dietrich, 2007. "A generalised model of judgment aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(4), pages 529-565, June.
    3. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    4. 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.
    5. Rubinstein, Ariel & Fishburn, Peter C., 1986. "Algebraic aggregation theory," Journal of Economic Theory, Elsevier, vol. 38(1), pages 63-77, February.
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    Cited by:

    1. Dietrich, Franz, 2015. "Aggregation theory and the relevance of some issues to others," Journal of Economic Theory, Elsevier, vol. 160(C), pages 463-493.
    2. Dietrich, Franz, 2015. "Aggregation theory and the relevance of some issues to others," Journal of Economic Theory, Elsevier, vol. 160(C), pages 463-493.
    3. repec:hal:journl:halshs-01249513 is not listed on IDEAS

    More about this item

    Keywords

    Judgment aggregation; Dependent variables; Impossibility;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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