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On the Triviality of High-Order Probabilistic Beliefs

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Author Info
Dov Samet (Faculty of Management Tel-Aviv University)
Abstract

Several axioms concerning probabilistic beliefs are examined here, and the relations between them are established, using belief spaces that generalize Harsanyi type spaces. Two axioms concerning high-order probabilistic beliefs are investigated in particular. The first is the triviality axiom, which says that one is certain (that is, has a belief of degree one) of one's own beliefs. The second is the averaging axiom, which states that a first order belief concerning some fact F is the average of all degrees of beliefs concerning F, weighted by the degrees given to them by the second order beliefs. It is shown that one whose beliefs satisfy the averaging axiom must be certain that his beliefs satisfy the triviality axiom.

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Publisher Info
Paper provided by EconWPA in its series Game Theory and Information with number 9705001.

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Length: 20 pages
Date of creation: 02 May 1997
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Handle: RePEc:wpa:wuwpga:9705001

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Related research
Keywords: (Harsanyi) type spaces; beliefs; introspection; epistemic axioms;

Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D8 - Microeconomics - - Information, Knowledge, and Uncertainty

References listed on IDEAS
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.:

  1. Aviad Heifetz & Dov Samet, 1996. "Topology-Free Typology of Beliefs," Game Theory and Information 9609002, EconWPA, revised 17 Sep 1996. [Downloadable!]
  2. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
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  3. Dov Samet, 1996. "Looking Backwards, Looking Inwards: Priors and Introspection," Game Theory and Information 9610007, EconWPA. [Downloadable!]
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