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From memories to inductively derived views: a constructive approach

Author

Listed:
  • J. Jude Kline

    (University of Queensland)

  • Thierry Lavendhomme

    (Université Saint-Louis - Bruxelles)

  • Samuel Waltener

    (Université Saint-Louis - Bruxelles)

Abstract

Inductive game theory was developed to study the emergence of the subjective views of various individuals in a recurrent social situation. In this paper, we develop a constructive approach for obtaining an inductively derived view (i.d.view). More specifically, we consider two methods: one is a benchmark general case, and the other is a special case taking causality in memories more explicitly into account. The first method is shown to capture the full set of i.d.views in the sense of Kaneko and Kline (Econ Theory 53(1):27–59, 2013). The second method allows us to focus on a finite set of natural candidate i.d.views. We argue that these methods facilitate future work on bounded rationality in interactive settings.

Suggested Citation

  • J. Jude Kline & Thierry Lavendhomme & Samuel Waltener, 2019. "From memories to inductively derived views: a constructive approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 403-420, September.
  • Handle: RePEc:spr:joecth:v:68:y:2019:i:2:d:10.1007_s00199-018-1129-5
    DOI: 10.1007/s00199-018-1129-5
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    References listed on IDEAS

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    1. Itzhak Gilboa & David Schmeidler, 1995. "Case-Based Decision Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(3), pages 605-639.
    2. Mamoru Kaneko & J. Kline, 2013. "Partial memories, inductively derived views, and their interactions with behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 27-59, May.
    3. Mamoru Kaneko & Akihiko Matsui, 1999. "Inductive Game Theory: Discrimination and Prejudices," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(1), pages 101-137, January.
    4. Kaneko, Mamoru & Matsui, Akihiko, 1999. "Inductive Game Theory: Discrimination and Prejudices," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(1), pages 101-137.
    5. Kaneko, Mamoru & Kline, J. Jude, 2008. "Inductive game theory: A basic scenario," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1332-1363, December.
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    Cited by:

    1. Mamoru Kaneko, 2020. "Expected utility theory with probability grids and preference formation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 723-764, October.

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    More about this item

    Keywords

    Inductive game theory; Constructive; Derivation process;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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