Aggregating And Updating Information
We study information aggregation problems where to a set of measures a single measure of the same dimension is associated. The collection of measures could represent the beliefs of agents about the state of the world, and the aggregate would then represent the beliefs of the population. Individual measures could also represent the connectedness of agents in a social network, and the aggregate would reflect the importance of each individual. We characterize the aggregation rule that resembles the Nash welfare function. In the special case of probability aggregation problems, this rule is the only one that satisfies Bayesian updating and some well-known axioms discussed in the literature.
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"The Measurment of Intellectual Influence,"
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"Aggregation of multiple prior opinions,"
Sciences Po publications
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"Introduction to Judgment Aggregation,"
Levine's Working Paper Archive
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"Utilitarian Aggregation of Beliefs and Tastes,"
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- Donald Saari, 2006. "Which is better: the Condorcet or Borda winner?," Social Choice and Welfare, Springer, vol. 26(1), pages 107-129, January.
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