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An Equivalence Result on the Reduction of Games with Unawareness

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  • Yasuo Sasaki

    (School of Knowledge Science, Japan Advanced Institute of Science and Technology, 1-1, Nomi, Ishikawa, 923-1292, Japan)

Abstract

Recently models and solution concepts of games with unawareness have been developed. This paper discusses the issue of reducing static games with unawareness to standard Bayesian games and shows that equilibrium concepts for the two formulations, i.e., generalized Nash equilibrium and Bayesian equilibrium, are equivalent. We discuss implications of the result.

Suggested Citation

  • Yasuo Sasaki, 2016. "An Equivalence Result on the Reduction of Games with Unawareness," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 18(03), pages 1-27, September.
    • Handle: RePEc:wsi:igtrxx:v:18:y:2016:i:03:n:s0219198916500092
    DOI: 10.1142/S0219198916500092
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    References listed on IDEAS

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    1. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2013. "Dynamic unawareness and rationalizable behavior," Games and Economic Behavior, Elsevier, vol. 81(C), pages 50-68.
    2. Anonymous, 2014. "Introduction to the Issue," Journal of Wine Economics, Cambridge University Press, vol. 9(1), pages 1-2, May.
    3. Perea,Andrés, 2012. "Epistemic Game Theory," Cambridge Books, Cambridge University Press, number 9781107401396, September.
    4. Burkhard Schipper, 2013. "Awareness-dependent subjective expected utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(3), pages 725-753, August.
    5. Feinberg, Yossi, 2012. "Games with Unawareness," Research Papers 2122, Stanford University, Graduate School of Business.
    6. Perea,Andrés, 2012. "Epistemic Game Theory," Cambridge Books, Cambridge University Press, number 9781107008915, September.
    7. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006. "Interactive unawareness," Journal of Economic Theory, Elsevier, vol. 130(1), pages 78-94, September.
    8. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
    9. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
    10. Burkhard Schipper, 2014. "Unawareness - A Gentle Introduction to both the Literature and the Special Issue," Working Papers 153, University of California, Davis, Department of Economics.
    11. Ekaterina Svetlova & Henk van Elst, 2014. "Decision-theoretic approaches to non-knowledge in economics," Papers 1407.0787, arXiv.org.
    12. Martin Meier & Burkhard Schipper, 2014. "Bayesian games with unawareness and unawareness perfection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 219-249, June.
    13. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    14. Harborne W. Stuart Jr. & Hong Hu, 2002. "An epistemic analysis of the Harsanyi transformation," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(4), pages 517-525.
    15. Anonymous, 2014. "Introduction to the Issue," Journal of Wine Economics, Cambridge University Press, vol. 9(2), pages 109-110, August.
    16. Roger B. Myerson, 2004. "Comments on "Games with Incomplete Information Played by 'Bayesian' Players, I--III Harsanyi's Games with Incoplete Information"," Management Science, INFORMS, vol. 50(12_supple), pages 1818-1824, December.
    17. Leandro Rêgo & Joseph Halpern, 2012. "Generalized solution concepts in games with possibly unaware players," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 131-155, February.
    18. Burkhard Schipper, 2014. "Unawareness - A Gentle Introduction to both the Literature and the Special Issue," Working Papers 145, University of California, Davis, Department of Economics.
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    Cited by:

    1. Yasuo Sasaki, 2017. "Generalized Nash equilibrium with stable belief hierarchies in static games with unawareness," Annals of Operations Research, Springer, vol. 256(2), pages 271-284, September.

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