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Forgetful updating and stubborn decision-makers

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  • Tai-Wei Hu

    (University of Bristol)

Abstract

A decision-maker receives an informative signal each period and is randomly required to make a terminal action based on the signals received so far. The decision-maker is restricted to use a (stochastic) finite automaton no larger than a given size to process information. In contrast to the existing literature that focuses on very low probability of termination, I consider information structures with a (nearly) revealing signal, in which analytical solutions are available for all probability values of termination. Results from that model reveal two robust predictions regarding constrained optimal behaviour. First, it is optimal to ignore small (in terms of informativeness) signals. Second, when deterministic schemes are optimal, big signals with similar strengths should be treated similarly; otherwise, randomization takes a lexicographic order according to the strengths of the signals. I also identify a new behavioural bias, information stubbornness, according to which the decision maker does not respond to further informative signals after seeing a nearly revealing signal. As a result, the decision-maker can persistently choose the wrong action even after an unbounded number of informative signals.

Suggested Citation

  • Tai-Wei Hu, 2023. "Forgetful updating and stubborn decision-makers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 781-802, April.
    • Handle: RePEc:spr:joecth:v:75:y:2023:i:3:d:10.1007_s00199-022-01423-7
    DOI: 10.1007/s00199-022-01423-7
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    References listed on IDEAS

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    1. Kalai, Ehud & Solan, Eilon, 2003. "Randomization and simplification in dynamic decision-making," Journal of Economic Theory, Elsevier, vol. 111(2), pages 251-264, August.
    2. Piccione, Michele & Rubinstein, Ariel, 1997. "On the Interpretation of Decision Problems with Imperfect Recall," Games and Economic Behavior, Elsevier, vol. 20(1), pages 3-24, July.
    3. Daniel Monte & Maher Said, 2014. "The value of (bounded) memory in a changing world," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(1), pages 59-82, May.
    4. Yeon-Koo Che & Konrad Mierendorff, 2019. "Optimal Dynamic Allocation of Attention," American Economic Review, American Economic Association, vol. 109(8), pages 2993-3029, August.
    5. Barlo, Mehmet & Carmona, Guilherme & Sabourian, Hamid, 2009. "Repeated games with one-memory," Journal of Economic Theory, Elsevier, vol. 144(1), pages 312-336, January.
    6. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
    7. Andrea Wilson, 2014. "Bounded Memory and Biases in Information Processing," Econometrica, Econometric Society, vol. 82, pages 2257-2294, November.
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    More about this item

    Keywords

    Imperfect recall; Bounded rationality; Bounded memory; Absent-minded; Behavioural biases;
    All these keywords.

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

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