Calibrated Forecasting and Merging
AbstractConsider a general finite-state stochastic process governed by an unknown objective probability distribution. Observing the system, a forecaster assigns subjective probabilities to future states. The resulting subjective forecast merges to the objective distribution if, with time, the forecasted probabilities converge to the correct (but unknown) probabilities. The forecast is calibrated if observed long-run empirical distributions coincide with the forecasted probabilities. This paper links the unobserved reliability of forecasts to their observed empirical performance by demonstrating full equilvalence between notions of merging and of calibration. It also indicates some implications of this equilvalence for the literatures of forecasting and learning.
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Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 29 (1999)
Issue (Month): 1-2 (October)
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Web page: http://www.elsevier.com/locate/inca/622836
Other versions of this item:
- Ehud Kalai, 1995. "Calibrated Forecasting and Merging," Discussion Papers 1144R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Ehud Kalai & Ehud Lehrer & Rann Smorodinsky, 2010. "Calibrated Forecasting and Merging," Levine's Working Paper Archive 584, David K. Levine.
- Ehud Kalai, 1995. "Calibrated Forecasting and Merging," Discussion Papers 1144, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Ehud Kalai & Ehud Lehrer, 1992.
"Weak and Strong Merging of Opinions,"
983, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Foster, Dean P. & Vohra, Rakesh V., 1997. "Calibrated Learning and Correlated Equilibrium," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 40-55, October.
- Ehud Kalai & Ehud Lehrer, 1990. "Merging Economic Forecasts," Discussion Papers 1035, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- S. Hart & A. Mas-Collel, 2010.
"A Simple Adaptive Procedure Leading to Correlated Equilibrium,"
Levine's Working Paper Archive
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- Sergiu Hart & Andreu Mas-Colell, 2000. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Econometrica, Econometric Society, vol. 68(5), pages 1127-1150, September.
- Sergiu Hart & Andreu Mas-Colell, 1997. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Game Theory and Information 9703006, EconWPA, revised 24 Mar 1997.
- Sergiu Hart & Andreu Mas-Colell, 1996. "A simple adaptive procedure leading to correlated equilibrium," Economics Working Papers 200, Department of Economics and Business, Universitat Pompeu Fabra, revised Dec 1996.
- Monderer, Dov & Samet, Dov & Sela, Aner, 1997.
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Elsevier, vol. 73(2), pages 438-452, April.
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