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Unawareness with ‘possible’ possible worlds

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  • Oliver Walker
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    Abstract

    Logical structures for modeling agents’ reasoning about unawareness are presented where it can hold simultaneously that: (i) agents’ beliefs about whether they are fully aware need not be veracious with partitional information; and (ii) the agent is fully aware if and only if she is aware of a fixed domain of formulae. In light of (ii), all states are deemed “possible”. Semantics operate in two stages, with belief in the second stage determined by truth in the first stage. Characterization theorems show that, without the first stage, the structures validate the same conditions as those of Halpern and Rego (2009a).

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    Bibliographic Info

    Paper provided by Grantham Research Institute on Climate Change and the Environment in its series Grantham Research Institute on Climate Change and the Environment Working Papers with number 69.

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    Date of creation: Dec 2011
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    Handle: RePEc:lsg:lsgwps:wp69

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    References

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    1. Simon Grant & John Quiggin, 2013. "Inductive reasoning about unawareness," Economic Theory, Springer, vol. 54(3), pages 717-755, November.
    2. Oliver Board, 2006. "Object-Based Unawareness," Working Papers 245, University of Pittsburgh, Department of Economics, revised Jan 2006.
    3. Joseph Y. Halpern, 2000. "Alternative Semantics for Unawareness," Game Theory and Information 0004010, EconWPA.
    4. Heinsalu, Sander, 2012. "Equivalence of the information structure with unawareness to the logic of awareness," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2453-2468.
    5. Edi Karni & Marie-Louise Vier�, 2012. ""Reverse Bayesianism": A Choice-Based Theory of Growing Awareness," Economics Working Paper Archive 591, The Johns Hopkins University,Department of Economics.
    6. Oliver Board & Kim-Sau Chung & Burkhard C. Schipper, 2008. "Two Models of Unawareness," Working Papers 379, University of Pittsburgh, Department of Economics, revised Mar 2009.
    7. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2005. "Interactive Unawareness," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 52, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    8. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
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    Cited by:
    1. Halpern, Joseph Y. & Rêgo, Leandro C., 2013. "Reasoning about knowledge of unawareness revisited," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 73-84.

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