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Bounded Rationality and Small Worlds

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  • Grant, Simon
  • Quiggin, John

Abstract

We consider conditions under which the representation of the world available to a boundedly rational decision-maker, whose awareness in- creases over time, constitutes an adequate "small world" (in the sense of Savage 1954) for the assessment of a given decision. Equivalently, we consider whether boundedly rational decision-makers who gradu- ally become aware of all relevant contingencies, can pursue a strategy that is sequentially consistent. We derive conditions on beliefs and preferences that yield a separation between the set of propositions of which the boundedly rational decision-maker is aware and those of which she is unaware and show that these conditions are sufficient to ensure sequential consistency.

Suggested Citation

  • Grant, Simon & Quiggin, John, 2008. "Bounded Rationality and Small Worlds," Risk and Sustainable Management Group Working Papers 151187, University of Queensland, School of Economics.
  • Handle: RePEc:ags:uqsers:151187
    DOI: 10.22004/ag.econ.151187
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    References listed on IDEAS

    as
    1. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006. "Interactive unawareness," Journal of Economic Theory, Elsevier, vol. 130(1), pages 78-94, September.
    2. Robert F. Bordley & Gordon Hazen, 1992. "Nonlinear Utility Models Arising from Unmodelled Small World Intercorrelations," Management Science, INFORMS, vol. 38(7), pages 1010-1017, July.
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    Cited by:

    1. Burkhard Schipper, 2010. "Revealed Unawareness," Working Papers 303, University of California, Davis, Department of Economics.
    2. Pope, Robin & Selten, Reinhard & Kube, Sebastian, 2009. "Nominalist Heuristics and Economic Theory," Bonn Econ Discussion Papers 17/2009, University of Bonn, Bonn Graduate School of Economics (BGSE).
    3. Simon Grant & John Quiggin, 2013. "Inductive reasoning about unawareness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 717-755, November.
    4. Schipper, Burkhard C, 2010. "Revealed Unawareness," MPRA Paper 21491, University Library of Munich, Germany.
    5. Takashi Hayashi, 2012. "Expanding state space and extension of beliefs," Theory and Decision, Springer, vol. 73(4), pages 591-604, October.

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    More about this item

    Keywords

    Risk and Uncertainty;

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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