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Inductive Game Theory: A Basic Scenario

Author

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  • Mamoru Kaneko

    (Institute of Policy and Planning Sciences, University of Tsukuba)

  • J. Jude Kline

    (Department of Economics, School of Business, Bond University)

Abstract

The aim of this paper is to present the new theory called “inductive game theory”. A paper, published by one of the present authors with A. Matsui, discussed some part of inductive game theory in a specific game. Here, we will give a more developed discourse of the theory. The paper is written to show one entire picture of the theory: From individual raw experiences, short-term memories to long-term memories, inductive derivation of individual views, classification of such views, decision making or modification of behavior based on a view, and repercussion from the modified play in the objective game. We focus on some clear-cut cases, forgetting a lot of possible variants, but will still give a lot of results. In order to show one possible discourse as a whole, we will ask the question of how Nash equilibrium is emerging from the viewpoint of inductive game theory, and will give one answer.

Suggested Citation

  • Mamoru Kaneko & J. Jude Kline, 2006. "Inductive Game Theory: A Basic Scenario," IEAS Working Paper : academic research 06-A001, Institute of Economics, Academia Sinica, Taipei, Taiwan.
  • Handle: RePEc:sin:wpaper:06-a001
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    File URL: https://www.econ.sinica.edu.tw/~econ/pdfPaper/06-A001.pdf
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    References listed on IDEAS

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    1. Dubey, Pradeep & Kaneko, Mamoru, 1985. "Information patterns and Nash equilibria in extensive games -- II," Mathematical Social Sciences, Elsevier, vol. 10(3), pages 247-262, December.
    2. Itzhak Gilboa & David Schmeidler, 1995. "Case-Based Decision Theory," The Quarterly Journal of Economics, Oxford University Press, vol. 110(3), pages 605-639.
    3. Adam Brandenburger & Eddie Dekel, 2014. "Hierarchies of Beliefs and Common Knowledge," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 2, pages 31-41, World Scientific Publishing Co. Pte. Ltd..
    4. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
    5. Fudenberg, Drew & Levine, David K, 1993. "Self-Confirming Equilibrium," Econometrica, Econometric Society, vol. 61(3), pages 523-545, May.
    6. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
    7. Mamoru Kaneko, 2002. "Epistemic logics and their game theoretic applications: Introduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(1), pages 7-62.
    8. 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.
    9. MERTENS, Jean-François & ZAMIR, Shmuel, 1985. "Formulation of Bayesian analysis for games with incomplete information," LIDAM Reprints CORE 608, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. 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.
    11. Ritzberger, Klaus, 2002. "Foundations of Non-Cooperative Game Theory," OUP Catalogue, Oxford University Press, number 9780199247868, Decembrie.
    12. Kalai, Ehud & Lehrer, Ehud, 1993. "Subjective Equilibrium in Repeated Games," Econometrica, Econometric Society, vol. 61(5), pages 1231-1240, September.
    13. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    14. 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.
    15. Nobu-Yuki Suzuki & Mamoru Kaneko, 2002. "Bounded interpersonal inferences and decision making," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(1), pages 63-103.
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    Cited by:

    1. Schipper, Burkhard C., 2021. "Discovery and equilibrium in games with unawareness," Journal of Economic Theory, Elsevier, vol. 198(C).
    2. Simon Grant & John Quiggin, 2005. "Learning and Discovery," Risk & Uncertainty Working Papers WP7R05, Risk and Sustainable Management Group, University of Queensland.
    3. 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.
    4. Kogure, Katsuo, 2013. "Impacts of Institutional Changes in Cambodia under the Pol Pot Regime," CEI Working Paper Series 2012-13, Center for Economic Institutions, Institute of Economic Research, Hitotsubashi University.
    5. Lippert, Steffen & Spagnolo, Giancarlo, 2011. "Networks of relations and Word-of-Mouth Communication," Games and Economic Behavior, Elsevier, vol. 72(1), pages 202-217, May.
    6. Hanaki, Nobuyuki & Ishikawa, Ryuichiro & Akiyama, Eizo, 2009. "Learning games," Journal of Economic Dynamics and Control, Elsevier, vol. 33(10), pages 1739-1756, October.
    7. Nick Feltovich & Sobei H. Oda, 2014. "Special Section: Experiments on Learning, Methods, and Voting," Pacific Economic Review, Wiley Blackwell, vol. 19(3), pages 260-277, August.
    8. 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.
    9. Mamoru Kaneko, 2013. "Symposium: logic and economics—interactions between subjective thinking and objective worlds," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 1-8, May.
    10. Kaneko, Mamoru & Mitra, Aniruddha, 2011. "Discrimination in festival games with limited observability and accessibility," Mathematical Social Sciences, Elsevier, vol. 62(1), pages 34-45, July.
    11. Tai-Wei Hu, 2013. "Expected utility theory from the frequentist perspective," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 9-25, May.

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