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Hierarchies of beliefs for compact possibility models

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  • Mariotti, Thomas
  • Meier, Martin
  • Piccione, Michele

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  • Mariotti, Thomas & Meier, Martin & Piccione, Michele, 2005. "Hierarchies of beliefs for compact possibility models," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 303-324, April.
    • Handle: RePEc:eee:mateco:v:41:y:2005:i:3:p:303-324
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    1. Adam Brandenburger & Eddie Dekel, 2014. "Hierarchies of Beliefs and Common Knowledge," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 2, pages 31-41, World Scientific Publishing Co. Pte. Ltd..
    2. Meier, Martin, 2005. "On the nonexistence of universal information structures," Journal of Economic Theory, Elsevier, vol. 122(1), pages 132-139, May.
    3. Tan, Tommy Chin-Chiu & da Costa Werlang, Sergio Ribeiro, 1988. "The Bayesian foundations of solution concepts of games," Journal of Economic Theory, Elsevier, vol. 45(2), pages 370-391, August.
    4. 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.
    5. Epstein, Larry G & Wang, Tan, 1996. ""Beliefs about Beliefs" without Probabilities," Econometrica, Econometric Society, vol. 64(6), pages 1343-1373, November.
    6. MERTENS, Jean-François & ZAMIR, Shmuel, 1985. "Formulation of Bayesian analysis for games with incomplete information," LIDAM Reprints CORE 608, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    8. MERTENS , Jean-François & SORIN , Sylvain & ZAMIR , Shmuel, 1994. "Repeated Games. Part A : Background Material," LIDAM Discussion Papers CORE 1994020, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. John Geanakoplos & (**), Moshe Y. Vardi & Joseph Y. Halpern & Ronald Fagin, 1999. "The hierarchical approach to modeling knowledge and common knowledge," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(3), pages 331-365.
    10. Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Journal of Economic Theory, Elsevier, vol. 88(1), pages 188-230, September.
    11. Heifetz, Aviad & Samet, Dov, 1998. "Knowledge Spaces with Arbitrarily High Rank," Games and Economic Behavior, Elsevier, vol. 22(2), pages 260-273, February.
    12. Mariotti, Thomas, 2003. "Hierarchies of compact beliefs and rationalizable behavior," Economics Letters, Elsevier, vol. 79(2), pages 199-204, May.
    13. Robert J Aumann, 1999. "Agreeing to Disagree," Levine's Working Paper Archive 512, David K. Levine.
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    Cited by:

    1. Heinsalu, Sander, 2014. "Universal type structures with unawareness," Games and Economic Behavior, Elsevier, vol. 83(C), pages 255-266.
    2. Chen, Yi-Chun & Long, Ngo Van & Luo, Xiao, 2007. "Iterated strict dominance in general games," Games and Economic Behavior, Elsevier, vol. 61(2), pages 299-315, November.
    3. Ganguli, Jayant & Heifetz, Aviad & Lee, Byung Soo, 2016. "Universal interactive preferences," Journal of Economic Theory, Elsevier, vol. 162(C), pages 237-260.
    4. Dillenberger, David & Krishna, R. Vijay & Sadowski, Philipp, 2023. "Subjective information choice processes," Theoretical Economics, Econometric Society, vol. 18(2), May.
    5. Salonen, Hannu, 2009. "Common theories," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 279-289, November.
    6. Gul, Faruk & Pesendorfer, Wolfgang, 2016. "Interdependent preference models as a theory of intentions," Journal of Economic Theory, Elsevier, vol. 165(C), pages 179-208.
    7. Michael Trost, 2014. "On the Equivalence between Iterated Application of Choice Rules and Common Belief of Applying these Rules," Jena Economics Research Papers 2014-032, Friedrich-Schiller-University Jena.
    8. Moscati Ivan, 2009. "Interactive and common knowledge in the state-space model," CESMEP Working Papers 200903, University of Turin.
    9. repec:esx:essedp:722 is not listed on IDEAS
    10. Meier, Martin, 2008. "Universal knowledge-belief structures," Games and Economic Behavior, Elsevier, vol. 62(1), pages 53-66, January.
    11. Can Baskent, 2014. "Some Non-Classical Approaches to the Branderburger-Keisler Paradox," Working Papers hal-01094784, HAL.
    12. Chen, Yi-Chun, 2010. "Universality of the Epstein-Wang type structure," Games and Economic Behavior, Elsevier, vol. 68(1), pages 389-402, January.
    13. Ahn, David S., 2007. "Hierarchies of ambiguous beliefs," Journal of Economic Theory, Elsevier, vol. 136(1), pages 286-301, September.
    14. De Marco, Giuseppe & Romaniello, Maria & Roviello, Alba, 2022. "Psychological Nash equilibria under ambiguity," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 92-106.
    15. Guarino, Pierfrancesco & Ziegler, Gabriel, 2022. "Optimism and pessimism in strategic interactions under ignorance," Games and Economic Behavior, Elsevier, vol. 136(C), pages 559-585.
    16. Trost, Michael, 2019. "On the equivalence between iterated application of choice rules and common belief of applying these rules," Games and Economic Behavior, Elsevier, vol. 116(C), pages 1-37.

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