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Unawareness - A Gentle Introduction to both the Literature and the Special Issue

Author

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  • Burkhard Schipper

    (Department of Economics, University of California Davis)

Abstract

This article provides a brief survey of the literature on unawareness and introduces the contributions to the special issue on unawareness in Mathematical Social Sciences. First, we provide a brief overview both about epistemic models of unawareness and models of extensive-form games with unawareness. Instead of introducing the approaches in full detail, we illustrate the main differences and similarities with the help of examples. Finally, we discuss the contributions to the special issue on unawareness.

Suggested Citation

  • 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.
    • Handle: RePEc:cda:wpaper:153
    as

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    File URL: https://repec.dss.ucdavis.edu/files/eYGQW9gxjU9CwnUfwEhF3R6H/14-5.pdf
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    References listed on IDEAS

    as
    1. Burkhard Schipper & Martin Meier & Aviad Heifetz, 2011. "Prudent Rationalizability in Generalized Extensive-Form Games," Working Papers 287, University of California, Davis, Department of Economics.
    2. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    3. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
    4. 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.
    5. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006. "Interactive unawareness," Journal of Economic Theory, Elsevier, vol. 130(1), pages 78-94, September.
    6. 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.
    7. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C, 2011. "Prudent rationalizability in generalized extensive-form games," MPRA Paper 30220, University Library of Munich, Germany.
    8. Li, Jing, 2009. "Information structures with unawareness," Journal of Economic Theory, Elsevier, vol. 144(3), pages 977-993, May.
    9. Feinberg, Yossi, 2012. "Games with Unawareness," Research Papers 2122, Stanford University, Graduate School of Business.
    10. Halpern, Joseph Y. & Rêgo, Leandro C., 2013. "Reasoning about knowledge of unawareness revisited," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 73-84.
    11. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
    12. Halpern, Joseph Y. & Rêgo, Leandro C., 2009. "Reasoning about knowledge of unawareness," Games and Economic Behavior, Elsevier, vol. 67(2), pages 503-525, November.
    13. Jing Li, 2008. "Interactive Knowledge with Unawareness," PIER Working Paper Archive 08-023, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    14. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Wenjun Ma & Burkhard C. Schipper, 2017. "Does exposure to unawareness affect risk preferences? A preliminary result," Theory and Decision, Springer, vol. 83(2), pages 245-257, August.
    2. Burkhard Schipper, 2017. "Kuhn's Theorem for Extensive Games with Unawareness," Working Papers 176, University of California, Davis, Department of Economics.
    3. Sasaki, Yasuo, 2022. "Unawareness of decision criteria in multicriteria games," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 31-40.
    4. Schipper, Burkhard C., 2021. "Discovery and equilibrium in games with unawareness," Journal of Economic Theory, Elsevier, vol. 198(C).
    5. Liu, Chanjuan & Zhu, Enqiang, 2017. "Computational ability in games: Individual difference and dynamics," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 313-320.
    6. 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.
    7. Grant Simon & Guerdjikova Ani & Quiggin John, 2021. "Ambiguity and Awareness: A Coherent Multiple Priors Model," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 21(2), pages 571-612, June.
    8. Dominiak, Adam & Tserenjigmid, Gerelt, 2018. "Belief consistency and invariant risk preferences," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 157-162.
    9. Burkhard Schipper, 2017. "Kuhn's Theorem for Extensive Games with Unawareness," Working Papers 204, University of California, Davis, Department of Economics.
    10. Mehmet S. Ismail, 2023. "Human and Machine Intelligence in n-Person Games with Partial Knowledge: Theory and Computation," Papers 2302.13937, arXiv.org, revised Feb 2024.
    11. Adam Dominiak & Ani Guerdjikova, 2021. "Pessimism and optimism towards new discoveries," Theory and Decision, Springer, vol. 90(3), pages 321-370, May.
    12. Teeple, Keisuke, 2023. "Surprise and default in general equilibrium," Theoretical Economics, Econometric Society, vol. 18(4), November.
    13. Chakravarty, Surajeet & Kelsey, David & Teitelbaum, Joshua C., 2022. "Reverse Bayesianism and act independence," Journal of Economic Theory, Elsevier, vol. 203(C).
    14. Fiorini, Luciana C. & Rodrigues-Neto, José A., 2017. "Self-consistency, consistency and cycles in non-partitional knowledge models," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 11-21.
    15. Heifetz Aviad & Meier Martin & Schipper Burkhard C., 2021. "Prudent Rationalizability in Generalized Extensive-form Games with Unawareness," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 21(2), pages 525-556, June.
    16. Dominiak, Adam & Tserenjigmid, Gerelt, 2022. "Ambiguity under growing awareness," Journal of Economic Theory, Elsevier, vol. 199(C).
    17. Chollete, Lorán & Jaffee, Dwight & Mamun, Khawaja A., 2022. "Policy suggestions from a simple framework with extreme outcomes," International Review of Economics & Finance, Elsevier, vol. 82(C), pages 374-398.
    18. Martin Meier & Burkhard C. Schipper, 2022. "Conditional dominance in games with unawareness," Working Papers 351, University of California, Davis, Department of Economics.
    19. Áron Tóbiás, 2023. "Cognitive limits and preferences for information," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 221-253, June.
    20. Antoine Dubus, 2020. "Asymmetric awareness and heterogeneous agents," Rationality and Society, , vol. 32(4), pages 461-484, November.
    21. Perea, Andrés, 2022. "Common belief in rationality in games with unawareness," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 11-30.
    22. Fletcher, Cameron S. & Ganegodage, K. Renuka & Hildenbrand, Marian D. & Rambaldi, Alicia N., 2022. "The behaviour of property prices when affected by infrequent floods," Land Use Policy, Elsevier, vol. 122(C).
    23. Wenjun Ma & Burkhard C. Schipper, 2017. "Does exposure to unawareness affect risk preferences? A preliminary result," Theory and Decision, Springer, vol. 83(2), pages 245-257, August.
    24. Alex A. T. Rathke, 2023. "On the state-space model of unawareness," Papers 2304.04626, arXiv.org, revised Apr 2023.

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    More about this item

    Keywords

    Unawareness; awareness; incomplete information; knowledge; belief; extensive-form games;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General

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