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A Joint Characterization of Belief Revision Rules

  • Dietrich, Franz
  • List, Christian
  • Bradley, Richard

This paper characterizes different belief revision rules in a unified framework: Bayesian revision upon learning some event, Jeffrey revision upon learning new probabilities of some events, Adams revision upon learning some new conditional probabilities, and `dual-Jeffrey' revision upon learning an entire new conditional probability function. Though seemingly different, these revision rules follow from the same two principles: responsiveness, which requires that revised beliefs be consistent with the learning experience, and conservativeness, which requires that those beliefs of the agent on which the learning experience is `silent' (in a technical sense) do not change. So, the four revision rules apply the same revision policy, yet to different kinds of learning experience.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 41240.

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Date of creation: Sep 2012
Date of revision:
Handle: RePEc:pra:mprapa:41240
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  1. repec:cup:cbooks:9780521748681 is not listed on IDEAS
  2. Sarin, Rakesh & Wakker, Peter, 1994. "A General Result for Quantifying Beliefs," Econometrica, Econometric Society, vol. 62(3), pages 683-85, May.
  3. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-87, May.
  4. Dietrich Franz, 2008. "Bayesian Group Belief," Research Memorandum 046, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  5. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
  6. HEIFETZ, Aviad & MEIER, Martin & SCHIPPER, Burkhard C., 2004. "Interactive unawareness," CORE Discussion Papers 2004059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. repec:cup:cbooks:9780521765015 is not listed on IDEAS
  8. repec:cup:cbooks:9780521003117 is not listed on IDEAS
  9. repec:cup:cbooks:9780521802345 is not listed on IDEAS
  10. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
  11. Hylland, Aanund & Zeckhauser, Richard J, 1979. "The Impossibility of Bayesian Group Decision Making with Separate Aggregation of Beliefs and Values," Econometrica, Econometric Society, vol. 47(6), pages 1321-36, November.
  12. Wakker, Peter P, 2001. "Testing and Characterizing Properties of Nonadditive Measures through Violations of the Sure-Thing Principle," Econometrica, Econometric Society, vol. 69(4), pages 1039-59, July.
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