A quantitative discursive dilemma
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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Volume (Year): 35 (2010)
Issue (Month): 1 (June)
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- Franz Dietrich, 2007.
"A generalised model of judgment aggregation,"
Social Choice and Welfare,
Springer, vol. 28(4), pages 529-565, June.
- Mongin, P., .
"Consistent Bayesian aggregation,"
CORE Discussion Papers RP
-1176, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Carl Andreas Claussen & Øistein Røisland, 2005. "Collective economic decisions and the discursive dilemma," Working Paper 2005/3, Norges Bank.
- Rubinstein, Ariel & Fishburn, Peter C., 1986. "Algebraic aggregation theory," Journal of Economic Theory, Elsevier, vol. 38(1), pages 63-77, February.
- 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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