IDEAS home Printed from https://ideas.repec.org/p/ecl/stabus/1894.html
   My bibliography  Save this paper

Games with Incomplete Awareness

Author

Listed:
  • Feinberg, Yossi

    (Stanford U)

Abstract

A new game form termed games with incomplete awareness is defined. This game form captures unawareness as to other players' actions, as well as unawareness of the existence of some players. It also captures interactive unawareness: the awareness of players as to what other players are aware of, and so on. An extended Nash equilibrium solution is defined and studied in these games.

Suggested Citation

  • Feinberg, Yossi, 2005. "Games with Incomplete Awareness," Research Papers 1894, Stanford University, Graduate School of Business.
  • Handle: RePEc:ecl:stabus:1894
    as

    Download full text from publisher

    File URL: http://gsbapps.stanford.edu/researchpapers/library/RP1894.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ronald Fagin & Joseph Y. Halpern & Yoram Moses & Moshe Y. Vardi, 2003. "Reasoning About Knowledge," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262562006, December.
    2. Blume, Andreas, 2000. "Coordination and Learning with a Partial Language," Journal of Economic Theory, Elsevier, vol. 95(1), pages 1-36, November.
    3. Andreas Blume & Uri Gneezy, 2009. "Cognitive Forward Induction and Coordination without Common Knowledge: An Experimental Study," Working Paper 346, Department of Economics, University of Pittsburgh, revised May 2009.
    4. Crawford, Vincent P & Haller, Hans, 1990. "Learning How to Cooperate: Optimal Play in Repeated Coordination Games," Econometrica, Econometric Society, vol. 58(3), pages 571-595, May.
    5. Blume, Andreas & Gneezy, Uri, 2010. "Cognitive forward induction and coordination without common knowledge: An experimental study," Games and Economic Behavior, Elsevier, vol. 68(2), pages 488-511, March.
    6. Merton, Robert C, 1987. "A Simple Model of Capital Market Equilibrium with Incomplete Information," Journal of Finance, American Finance Association, vol. 42(3), pages 483-510, July.
    7. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006. "Interactive unawareness," Journal of Economic Theory, Elsevier, vol. 130(1), pages 78-94, September.
    8. Modica, Salvatore & Rustichini, Aldo, 1999. "Unawareness and Partitional Information Structures," Games and Economic Behavior, Elsevier, vol. 27(2), pages 265-298, May.
    9. Ewerhart, Christian, 2001. "Heterogeneous Awareness and the Possibility of Agreement," Sonderforschungsbereich 504 Publications 01-30, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    10. Feinberg, Yossi, 2004. "Subjective Reasoning--Games with Unawareness," Research Papers 1875, Stanford University, Graduate School of Business.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liu Zhen, 2017. "Information Acquisition in the Era of Fair Disclosure: An Application of Asymmetric Awareness," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 17(2), pages 1-16, June.
    2. 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.
    3. 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.
    4. Blume, Andreas & Gneezy, Uri, 2010. "Cognitive forward induction and coordination without common knowledge: An experimental study," Games and Economic Behavior, Elsevier, vol. 68(2), pages 488-511, March.
    5. 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.
    6. Perea, Andrés, 2022. "Common belief in rationality in games with unawareness," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 11-30.
    7. Liu, Zhen, 2006. "Fair Disclosure and Investor Asymmetric Awareness in Stock Markets," MPRA Paper 917, University Library of Munich, Germany.
    8. 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.
    9. 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.
    10. Xiaojian Zhao, 2008. "Moral Hazard With Unawareness," Rationality and Society, , vol. 20(4), pages 471-496, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Andreas Blume & April Franco, 2002. "Learning from failure," Staff Report 299, Federal Reserve Bank of Minneapolis.
    4. Blume, Andreas & Gneezy, Uri, 2010. "Cognitive forward induction and coordination without common knowledge: An experimental study," Games and Economic Behavior, Elsevier, vol. 68(2), pages 488-511, March.
    5. Gary Charness & Alessandro Sontuoso, 2018. "The Doors of Perception," PPE Working Papers 0013, Philosophy, Politics and Economics, University of Pennsylvania, revised 25 Oct 2018.
    6. Spyros Galanis, 2011. "Syntactic foundations for unawareness of theorems," Theory and Decision, Springer, vol. 71(4), pages 593-614, October.
    7. Galanis, Spyros, 2007. "Unawareness of theorems," Discussion Paper Series In Economics And Econometrics 51816, Economics Division, School of Social Sciences, University of Southampton.
    8. Andreas Blume & Uri Gneezy, 2009. "Cognitive Forward Induction and Coordination without Common Knowledge: An Experimental Study," Working Paper 346, Department of Economics, University of Pittsburgh, revised May 2009.
    9. Andonie, Costel & Kuzmics, Christoph, 2012. "Pre-election polls as strategic coordination devices," Journal of Economic Behavior & Organization, Elsevier, vol. 84(2), pages 681-700.
    10. Alós-Ferrer, Carlos & Kuzmics, Christoph, 2013. "Hidden symmetries and focal points," Journal of Economic Theory, Elsevier, vol. 148(1), pages 226-258.
    11. Christoph Kuzmics & Daniel Rodenburger, 2018. "A case of evolutionary stable attainable equilibrium in the lab," Graz Economics Papers 2018-05, University of Graz, Department of Economics.
    12. Oliver J. Board & Kim-Sau Chung, 2022. "Object-based unawareness: Theory and applications," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 7(1), pages 1-43, December.
    13. Oliver Board, 2008. "Object-Based Unawareness: Theory and Applications," Working Paper 378, Department of Economics, University of Pittsburgh, revised Mar 2009.
    14. Spyros Galanis, 2013. "Unawareness of theorems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 41-73, January.
    15. Külpmann, Philipp & Khantadze, Davit, 2016. "Identifying the reasons for coordination failure in a laboratory experiment," Center for Mathematical Economics Working Papers 567, Center for Mathematical Economics, Bielefeld University.
    16. Halpern, Joseph Y. & Rêgo, Leandro C., 2013. "Reasoning about knowledge of unawareness revisited," Mathematical Social Sciences, Elsevier, vol. 65(2), pages 73-84.
    17. Alessandro Sontuoso & Sudeep Bhatia, 2021. "A notion of prominence for games with natural‐language labels," Quantitative Economics, Econometric Society, vol. 12(1), pages 283-312, January.
    18. Blume, Lawrence & Easley, David & Halpern, Joseph Y., 2021. "Constructive decision theory," Journal of Economic Theory, Elsevier, vol. 196(C).
    19. Kuzmics, Christoph & Palfrey, Thomas & Rogers, Brian W., 2014. "Symmetric play in repeated allocation games," Journal of Economic Theory, Elsevier, vol. 154(C), pages 25-67.
    20. Marco Faillo & Alessandra Smerilli & Robert Sugden, 2016. "Can a single theory explain coordination? An experiment on alternative modes of reasoning and the conditions under which they are used," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 16-01, School of Economics, University of East Anglia, Norwich, UK..

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ecl:stabus:1894. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/gsstaus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.