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Agreement theorems with interactive information: possibilities and impossibilities

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  • Tarbush, Bassel

Abstract

Following from Tarbush (2011a), we explore the implications of using two different definitions of informativeness over kens; one that ranks objective, and the other subjective information. With the first, we create a new semantic operation that allows us to derive agreement theorems even when decision functions are based on interactive information (for any r ≥ 0). Effectively, this operation, unlike information cell union captures the notion of an agent becoming “more ignorant” for all modal depths. Using the definition that ranks subjective information however, we show an impossibility result: In generic models, agreement theorems using the standard Sure-Thing Principle do not hold when decision functions depend on interactive information (when r > 0).

Suggested Citation

  • Tarbush, Bassel, 2011. "Agreement theorems with interactive information: possibilities and impossibilities," MPRA Paper 32850, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:32850
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    More about this item

    Keywords

    Agreeing to disagree; knowledge; common knowledge; belief; information; epistemic logic;

    JEL classification:

    • D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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