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A quantitative discursive dilemma

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  • Carl Claussen
  • Øistein Røisland

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)
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Suggested Citation

  • Carl Claussen & Øistein Røisland, 2010. "A quantitative discursive dilemma," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(1), pages 49-64, June.
    • Handle: RePEc:spr:sochwe:v:35:y:2010:i:1:p:49-64
    DOI: 10.1007/s00355-009-0428-y
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    References listed on IDEAS

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    1. 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.
    2. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    3. List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(1), pages 89-110, April.
    4. Anand, Paul & Pattanaik, Prasanta & Puppe, Clemens (ed.), 2009. "The Handbook of Rational and Social Choice," OUP Catalogue, Oxford University Press, number 9780199290420.
    5. Carl Andreas Claussen & Oistein Roisland, 2005. "Collective economic decisions and the discursive dilemma," Working Paper 2005/3, Norges Bank.
    6. 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.

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    More about this item

    JEL classification:

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

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