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Some extensions of a claim of Aumann in an axiomatic model of knowledge

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Cited by:

  1. Matsuhisa, Takashi & Kamiyama, Kazuyoshi, 1997. "Lattice structure of knowledge and agreeing to disagree," Journal of Mathematical Economics, Elsevier, vol. 27(4), pages 389-410, May.
  2. Roy Gardner, 2007. "Michael Bacharach, Beyond Individual Choice: Teams and Frames in Game Theory. Princeton, NJ: Princeton University Press, 2006. xxiii + 214 pages. USD 35.00 (cloth)," Public Choice, Springer, vol. 130(3), pages 495-497, March.
  3. John Geanakoplos, 1993. "Common Knowledge," Cowles Foundation Discussion Papers 1062, Cowles Foundation for Research in Economics, Yale University.
  4. Khrennikov, Andrei, 2015. "Quantum version of Aumann’s approach to common knowledge: Sufficient conditions of impossibility to agree on disagree," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 89-104.
  5. Fukuda, Satoshi, 2024. "The existence of universal qualitative belief spaces," Journal of Economic Theory, Elsevier, vol. 216(C).
  6. Shyam Sunder, 2001. "Knowing What Others Know: Common Knowledge, Accounting, and Capital Markets," Yale School of Management Working Papers ysm326, Yale School of Management, revised 01 Feb 2002.
  7. Luo, Xiao & Ma, Chenghu, 2003. ""Agreeing to disagree" type results: a decision-theoretic approach," Journal of Mathematical Economics, Elsevier, vol. 39(8), pages 849-861, November.
  8. Badics, Judit & Gömöri, András, 2004. "Információ és tudás [Information and knowledge]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(2), pages 127-138.
  9. Kukushkin, Nikolai S., 2015. "Robert Louis Stevenson's Bottle Imp: A strategic analysis," MPRA Paper 64639, University Library of Munich, Germany.
  10. Satoshi Fukuda, 2024. "On the consistency among prior, posteriors, and information sets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(2), pages 521-565, September.
  11. Lucie Ménager, 2005. "Consensus, Communication and Knowledge: an Extension with Bayesian Agents," Cahiers de la Maison des Sciences Economiques v05031, Université Panthéon-Sorbonne (Paris 1), revised Jan 2006.
  12. Bonanno, G. & Nehring, K., 1995. "Intersubjective Consistency of Beliefs and the Logic of Common Belief," Department of Economics 95-08, California Davis - Department of Economics.
  13. Fukuda, Satoshi, 2019. "Epistemic foundations for set-algebraic representations of knowledge," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 73-82.
  14. Lismont L. & Mongin, P., 1996. "Belief closure: A semantics of common knowledge for modal propositional logic," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 60-60, February.
  15. Wolfgang Pesendorfer & Faruk Gul, 2007. "The Canonical Space for Behavioral Types," Levine's Bibliography 843644000000000345, UCLA Department of Economics.
  16. Tarbush, Bassel, 2016. "Counterfactuals in “agreeing to disagree” type results," Mathematical Social Sciences, Elsevier, vol. 84(C), pages 125-133.
  17. Ménager, Lucie, 2008. "Consensus and common knowledge of an aggregate of decisions," Games and Economic Behavior, Elsevier, vol. 62(2), pages 722-731, March.
  18. Guilhem Lecouteux, 2018. "Bayesian game theorists and non-Bayesian players," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 25(6), pages 1420-1454, November.
  19. Ryuichiro Ishikawa, 2006. "Communication Protocols with Belief Messages," Theory and Decision, Springer, vol. 61(1), pages 63-74, August.
  20. Bonanno, Giacomo & Nehring, Klaus, 1998. "Assessing the truth axiom under incomplete information," Mathematical Social Sciences, Elsevier, vol. 36(1), pages 3-29, July.
  21. Tarbush, Bassel, 2011. "Generalisation of Samet's (2010) agreement theorem," MPRA Paper 29067, University Library of Munich, Germany.
  22. Billot, Antoine & Walliser, Bernard, 1999. "Epistemic properties of knowledge hierarchies," Journal of Mathematical Economics, Elsevier, vol. 32(2), pages 185-205, October.
  23. Lucie Ménager, 2005. "Consensus, communication and knowledge: an extension with bayesian agents," Post-Print halshs-00194381, HAL.
  24. , & ,, 2011. "Agreeing to agree," Theoretical Economics, Econometric Society, vol. 6(2), May.
  25. Houy, Nicolas & Ménager, Lucie, 2008. "Communication, consensus and order. Who wants to speak first?," Journal of Economic Theory, Elsevier, vol. 143(1), pages 140-152, November.
  26. Fukuda, Satoshi, 2021. "Unawareness without AU Introspection," Journal of Mathematical Economics, Elsevier, vol. 94(C).
  27. Ju, Biung-Ghi, 2005. "Strategy-proof risk sharing," Games and Economic Behavior, Elsevier, vol. 50(2), pages 225-254, February.
  28. Aoyagi, Masaki, 1998. "Mutual Observability and the Convergence of Actions in a Multi-Person Two-Armed Bandit Model," Journal of Economic Theory, Elsevier, vol. 82(2), pages 405-424, October.
  29. Menager, Lucie, 2006. "Consensus, communication and knowledge: An extension with Bayesian agents," Mathematical Social Sciences, Elsevier, vol. 51(3), pages 274-279, May.
  30. Gul, Faruk & Pesendorfer, Wolfgang, 2016. "Interdependent preference models as a theory of intentions," Journal of Economic Theory, Elsevier, vol. 165(C), pages 179-208.
  31. Larry Samuelson, 2004. "Modeling Knowledge in Economic Analysis," Journal of Economic Literature, American Economic Association, vol. 42(2), pages 367-403, June.
  32. Ding, Huihui & Pivato, Marcus, 2021. "Deliberation and epistemic democracy," Journal of Economic Behavior & Organization, Elsevier, vol. 185(C), pages 138-167.
  33. Johan Van Benthem & Eric Pacuit & Olivier Roy, 2011. "Toward a Theory of Play: A Logical Perspective on Games and Interaction," Games, MDPI, vol. 2(1), pages 1-35, February.
  34. Alex A. T. Rathke, 2024. "Revisiting the state-space model of unawareness," Papers 2409.09818, arXiv.org.
  35. Zimper, Alexander, 2009. "Half empty, half full and why we can agree to disagree forever," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 283-299, August.
  36. Oscar Volij, 2000. "Communication, credible improvements and the core of an economy with asymmetric information," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(1), pages 63-79.
  37. Lucie Ménager, 2004. "A note on consensus and common knowledge of an aggregate of decisions," Cahiers de la Maison des Sciences Economiques v04006, Université Panthéon-Sorbonne (Paris 1).
  38. Bonanno, Giacomo & Nehring, Klaus, 1998. "On the logic and role of Negative Introspection of Common Belief," Mathematical Social Sciences, Elsevier, vol. 35(1), pages 17-36, January.
  39. Moscati Ivan, 2009. "Interactive and common knowledge in the state-space model," CESMEP Working Papers 200903, University of Turin.
  40. Samet, Dov, 2010. "Agreeing to disagree: The non-probabilistic case," Games and Economic Behavior, Elsevier, vol. 69(1), pages 169-174, May.
  41. ,, 2013. "A general framework for rational learning in social networks," Theoretical Economics, Econometric Society, vol. 8(1), January.
  42. Tsakas, Elias, 2007. "Aggregate information, common knowledge, and agreeing not to bet," Working Papers in Economics 254, University of Gothenburg, Department of Economics.
  43. Samet, Dov, 2022. "The impossibility of agreeing to disagree: An extension of the sure-thing principle," Games and Economic Behavior, Elsevier, vol. 132(C), pages 390-399.
  44. Jong Jae Lee, 2018. "Formalization of information: knowledge and belief," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 1007-1022, December.
  45. Bach, Christian W. & Perea, Andrés, 2013. "Agreeing to disagree with lexicographic prior beliefs," Mathematical Social Sciences, Elsevier, vol. 66(2), pages 129-133.
  46. Nicolas Houy & Lucie Ménager, 2005. "Communication, consensus and order. Who wants to speak first?," Post-Print halshs-00194365, HAL.
  47. Tarbush, Bassel, 2011. "Agreeing to disagree with generalised decision functions," MPRA Paper 29066, University Library of Munich, Germany.
  48. Ariel Rubinstein & Asher Wolinsky, 1988. "A Comment on the Logic of 'Agreeing to Disagree' Type Results," Discussion Papers 822, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  49. Dominiak, Adam & Lefort, Jean-Philippe, 2015. "“Agreeing to disagree” type results under ambiguity," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 119-129.
  50. Tsakas, Elias & Voorneveld, Mark, 2011. "On consensus through communication without a commonly known protocol," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 733-739.
  51. John Geanakoplos, 1992. "Common Knowledge," Journal of Economic Perspectives, American Economic Association, vol. 6(4), pages 53-82, Fall.
  52. Crescenzi, Michele, 2022. "Learning to agree over large state spaces," Journal of Mathematical Economics, Elsevier, vol. 100(C).
  53. Li, Jing, 2009. "Information structures with unawareness," Journal of Economic Theory, Elsevier, vol. 144(3), pages 977-993, May.
  54. Tsakas, Elias & Voorneveld, Mark, 2007. "Efficient communication, common knowledge, and consensus," Working Papers in Economics 255, University of Gothenburg, Department of Economics.
  55. Gossner, Olivier & Tsakas, Elias, 2007. "Testing Rationality on Primitive Knowledge," Working Papers in Economics 275, University of Gothenburg, Department of Economics.
  56. Jean-Marc Tallon & Jean-Christophe Vergnaud & Shmuel Zamir, 2003. "Contradicting Beliefs and Communication," Discussion Paper Series dp311, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  57. 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.
  58. Halpern, Joseph Y. & Rego, Leandro Chaves, 2008. "Interactive unawareness revisited," Games and Economic Behavior, Elsevier, vol. 62(1), pages 232-262, January.
  59. Bernard Walliser, 1991. "Logique épistémique et théorie des jeux," Revue Économique, Programme National Persée, vol. 42(5), pages 801-832.
  60. Alex A. T. Rathke, 2023. "On the state-space model of unawareness," Papers 2304.04626, arXiv.org, revised Apr 2023.
  61. Ko Nishihara, 1989. "Players' Observation, Deductive Knowledge and Information Partitions," Discussion Papers 841, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  62. Adam Brandenburger & John Geanakoplos, 1988. "Common Knowledge of Summary Statistics," Cowles Foundation Discussion Papers 864, Cowles Foundation for Research in Economics, Yale University.
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