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Bounds to Memory Loss

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  • Hvide, H.K.

Abstract

If we express our knowledge in sentences, we will find that these sentences to some extent are linked by logical rules. We ask whether the structure logic imposes on our knowledge restricts what we forget and what we remember. The model is a two period S5-style modal logic. In this logic we propose a memory loss operator: The agent forgets a sentence p if and only if he knows p at time 1 and he does not know p at time 2. Equipped with the operator, we prove theorems on the relation between knowledge and memory loss. The main results point to classes of formulas that an agent cannot forget, and classes of formulas he must forget. A desirable feature is that most results hold in the S4 logic. The results illustrate bounds to memory loss, and thus to bounded rationality. We apply the model to single-agent conventions: Conventions made between an agent and himself.

Suggested Citation

  • Hvide, H.K., 1999. "Bounds to Memory Loss," Papers 11-99, Tel Aviv.
  • Handle: RePEc:fth:teavfo:11-99
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    References listed on IDEAS

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    1. Barton L. Lipman, 1995. "Information Processing and Bounded Rationality: A Survey," Canadian Journal of Economics, Canadian Economics Association, vol. 28(1), pages 42-67, February.
    2. Ronald Fagin & Joseph Y. Halpern & Yoram Moses & Moshe Y. Vardi, 2003. "Reasoning About Knowledge," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262562006, January.
    3. James Dow, 1991. "Search Decisions with Limited Memory," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 1-14.
    4. Battigalli, Pierpaolo & Bonanno, Giacomo, 1997. "The Logic of Belief Persistence," Economics and Philosophy, Cambridge University Press, vol. 13(01), pages 39-59, April.
    5. Hvide, H.K., 1997. "SElf-Awareness, Uncertainty, and Markets with Overconfidence," Papers 9/97, Norwegian School of Economics and Business Administration-.
    6. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
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    Cited by:

    1. Nicola Dimitri, 2005. "Dynamic Consistency in Extensive form Decision Problems," Department of Economics University of Siena 455, Department of Economics, University of Siena.
    2. Hvide, Hans K., 2002. "Pragmatic beliefs and overconfidence," Journal of Economic Behavior & Organization, Elsevier, vol. 48(1), pages 15-28, May.

    More about this item

    Keywords

    MEMORY ; GAME THEORY ; UNCERTAINTY;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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