Quantified Beliefs and Believed Quantities
AbstractThat people estimate quantities, or have beliefs about them, is a daily observable phenomenon. People also quantify their beliefs, at least in theory, by ascribing to them probability numbers. It is shown that quantified beliefs and estimations give rise to the same model, that of a type space, and can therefore be viewed as the two sides of the same coin. We study the axiom that an agent's estimation of his own estimation is correct, showing it to be weaker than the introspection axiom, according to which an agent is certain of his own probabilistic beliefs. It implies, however, that the agent is certain that he is introspective, and it is equivalent to the axioms of averaging and conditioning, which are expressed in terms of probabilistic beliefs.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 95 (2000)
Issue (Month): 2 (December)
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Web page: http://www.elsevier.com/locate/inca/622869
Other versions of this item:
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D8 - Microeconomics - - Information, Knowledge, and Uncertainty
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- Harsanyi, John C., 1994.
"Games with Incomplete Information,"
Nobel Prize in Economics documents
1994-1, Nobel Prize Committee.
- Heifetz, Aviad & Samet, Dov, 1998.
"Topology-Free Typology of Beliefs,"
Journal of Economic Theory,
Elsevier, vol. 82(2), pages 324-341, October.
- Robert J. Aumann, 1999. "Interactive epistemology II: Probability," International Journal of Game Theory, Springer, vol. 28(3), pages 301-314.
- Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
- Samet, Dov, 1998. "Iterated Expectations and Common Priors," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 131-141, July.
- Ziv Hellman, 2013.
"Almost common priors,"
International Journal of Game Theory,
Springer, vol. 42(2), pages 399-410, May.
- Hellman, Ziv, 2011.
"Iterated expectations, compact spaces, and common priors,"
Games and Economic Behavior,
Elsevier, vol. 72(1), pages 163-171, May.
- Hellman, Ziv, 2007. "Iterated Expectations, Compact Spaces and Common Priors," MPRA Paper 3794, University Library of Munich, Germany.
- Ziv Hellman, 2009. "Iterated Expectations, Compact Spaces, and Common Priors," Discussion Paper Series dp522, The Center for the Study of Rationality, Hebrew University, Jerusalem.
- Samet, Dov, 1999.
"Bayesianism without learning,"
Research in Economics,
Elsevier, vol. 53(2), pages 227-242, June.
- Lehrer, Ehud & Samet, Dov, 2011.
"Agreeing to agree,"
Econometric Society, vol. 6(2), May.
- Heifetz, Aviad, 2006. "The positive foundation of the common prior assumption," Games and Economic Behavior, Elsevier, vol. 56(1), pages 105-120, July.
- Pierpaolo Battigalli & Alfredo Di Tillio & Dov Samet, 2011. "Strategies and interactive beliefs in dynamic games," Working Papers 375, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Heifetz, A. & Mongin, P., 1998.
"Probability Logic for Type Spaces,"
9825, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
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