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The Dirty Face Problem with Unawareness


  • Liu Zhen

    () (SUNY at Buffalo)


By revisiting the classic dirty-face problem we highlight the notion of `unawareness' (a simpler state space) and compare it with `impreciseness' (a coarser information partition). The outcomes are derived with various information structures. That allows us to 1) demonstrate a model of differing interpretations of public information using asymmetric awareness; 2) compare and contrast the impact of unawareness and impreciseness on learning; 3) analyze the value of awareness and the value of preciseness; and 4) demonstrate the effect of unawareness and impreciseness on information revelation with indirect aggregation.

Suggested Citation

  • Liu Zhen, 2008. "The Dirty Face Problem with Unawareness," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-20, December.
  • Handle: RePEc:bpj:bejtec:v:8:y:2008:i:1:n:28

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    References listed on IDEAS

    1. Bacharach, Michael, 1985. "Some extensions of a claim of Aumann in an axiomatic model of knowledge," Journal of Economic Theory, Elsevier, vol. 37(1), pages 167-190, October.
    2. Spyros Galanis, 2013. "Unawareness of theorems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 41-73, January.
    3. Devetag, Giovanna & Warglien, Massimo, 2003. "Games and phone numbers: Do short-term memory bounds affect strategic behavior?," Journal of Economic Psychology, Elsevier, vol. 24(2), pages 189-202, April.
    4. Heifetz, Aviad & Meier, Martin & Schipper, Burkhard C., 2006. "Interactive unawareness," Journal of Economic Theory, Elsevier, vol. 130(1), pages 78-94, September.
    5. Li, Jing, 2009. "Information structures with unawareness," Journal of Economic Theory, Elsevier, vol. 144(3), pages 977-993, May.
    6. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 1998. "Standard State-Space Models Preclude Unawareness," Econometrica, Econometric Society, vol. 66(1), pages 159-174, January.
    7. Jing Li, 2008. "Information Structures with Unawareness," PIER Working Paper Archive 08-024, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    8. John Geanakoplos, 1989. "Game Theory Without Partitions, and Applications to Speculation and Consensus," Cowles Foundation Discussion Papers 914, Cowles Foundation for Research in Economics, Yale University.
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    Cited by:

    1. Nagler, Matthew G. & Kronenberg, Fredi & Kennelly, Edward J. & Jiang, Bei & Ma, Chunhui, 2010. "The use of indicators for unobservable product qualities: inferences based on consumer sorting," MPRA Paper 28409, University Library of Munich, Germany.

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