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Sub-models for interactive unawareness

Author

Listed:
  • Simon Grant
  • J. Kline
  • Patrick O’Callaghan
  • John Quiggin

Abstract

We propose a notion of a sub-model for each agent at each state in the Heifetz et al. ( 2006 ) model of interactive unawareness. Presuming that each agent is fully cognizant of his sub-model causes no difficulty and fully describes his knowledge and his beliefs about the knowledge and awareness of others. We use sub-models to motivate the HMS conditions on possibility correspondences. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Simon Grant & J. Kline & Patrick O’Callaghan & John Quiggin, 2015. "Sub-models for interactive unawareness," Theory and Decision, Springer, vol. 79(4), pages 601-613, December.
    • Handle: RePEc:kap:theord:v:79:y:2015:i:4:p:601-613
    DOI: 10.1007/s11238-015-9485-0
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    References listed on IDEAS

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    1. Spyros Galanis, 2013. "Unawareness of theorems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 41-73, January.
    2. 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.
    3. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2008. "A canonical model for interactive unawareness," Games and Economic Behavior, Elsevier, vol. 62(1), pages 304-324, January.
    4. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006. "Interactive unawareness," Journal of Economic Theory, Elsevier, vol. 130(1), pages 78-94, September.
    5. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
    6. 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.
    7. Burkhard C. Schipper & Oliver Board & Kim-Sau Chung, 2009. "Two Models of Unawareness: Comparing the object-based and subjective-state-space approaches," Working Papers 93, University of California, Davis, Department of Economics.
    8. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
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    Cited by:

    1. Fukuda, Satoshi, 2021. "Unawareness without AU Introspection," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    2. Gaia Belardinelli & Burkhard C. Schipper, 2023. "Implicit Knowledge in Unawareness Structures," Working Papers 360, University of California, Davis, Department of Economics.

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