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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- List, Christian & Polak, Ben, 2010.
"Introduction to judgment aggregation,"
Journal of Economic Theory,
Elsevier, vol. 145(2), pages 441-466, March.
- Christian List & Ben Polak, 2010. "Introduction to Judgment Aggregation," Cowles Foundation Discussion Papers 1753, Cowles Foundation for Research in Economics, Yale University.
- Christian List & Ben Polak, 2010. "Introduction to Judgment Aggregation," Levine's Working Paper Archive 661465000000000006, David K. Levine.
- Gilboa, I. & Samet, D. & Schmeidler, D., 2001.
"Utilitarian Aggregation of Beliefs and Tastes,"
2001-17, Tel Aviv.
- Nehring, Klaus & Puppe, Clemens, 2010. "Justifiable group choice," Journal of Economic Theory, Elsevier, vol. 145(2), pages 583-602, March.
- Kaneko, Mamoru & Nakamura, Kenjiro, 1979. "The Nash Social Welfare Function," Econometrica, Econometric Society, vol. 47(2), pages 423-35, March.
- Young, H. P., 1974. "An axiomatization of Borda's rule," Journal of Economic Theory, Elsevier, vol. 9(1), pages 43-52, September.
- Christian List & Ben Polak, 2010. "Introduction to judgment aggregation," LSE Research Online Documents on Economics 27900, London School of Economics and Political Science, LSE Library.
- Donald Saari, 2006. "Which is better: the Condorcet or Borda winner?," Social Choice and Welfare, Springer, vol. 26(1), pages 107-129, January.
- Volij, Oscar & Palacios-Huerta, Ignacio, 2004.
"The Measurment of Intellectual Influence,"
Staff General Research Papers
10797, Iowa State University, Department of Economics.
- Pierre Barthelemy, Jean & Monjardet, Bernard, 1981. "The median procedure in cluster analysis and social choice theory," Mathematical Social Sciences, Elsevier, vol. 1(3), pages 235-267, May.
- Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2011.
"Aggregation of multiple prior opinions,"
Journal of Economic Theory,
Elsevier, vol. 146(6), pages 2563-2582.
- Hannu Nurmi & Hannu Salonen, 2008. "More Borda Count Variations for Project Assesment," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 2(2), pages 109-122, September.
- John List & Matti Liski, 2005. "Introduction," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 31(2), pages 121-121, 06.
- Barrett, C R & Pattanaik, Prasanta K, 1987. "Aggregation of Probability Judgements," Econometrica, Econometric Society, vol. 55(5), pages 1237-41, September.
- repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
- Giora Slutzki & Oscar Volij, 2006. "Scoring of web pages and tournaments—axiomatizations," Social Choice and Welfare, Springer, vol. 26(1), pages 75-92, January.
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