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Communication, timing, and common learning

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  • Steiner, Jakub
  • Stewart, Colin

Abstract

We study the effect of stochastically delayed communication on common knowledge acquisition (common learning). If messages do not report dispatch times, communication prevents common learning under general conditions even if common knowledge is acquired without communication. If messages report dispatch times, communication can destroy common learning under more restrictive conditions. The failure of common learning in the two cases is based on different infection arguments. Communication can destroy common learning even if it ends in finite time, or if agents communicate all of their information. We also identify conditions under which common learning is preserved in the presence of communication.

Suggested Citation

  • Steiner, Jakub & Stewart, Colin, 2011. "Communication, timing, and common learning," Journal of Economic Theory, Elsevier, vol. 146(1), pages 230-247, January.
    • Handle: RePEc:eee:jetheo:v:146:y:2011:i:1:p:230-247
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    Cited by:

    1. Wolfgang Kuhle, 2024. "Games with Planned Actions and Scouting," Papers 2408.09778, arXiv.org.
    2. Mira Frick & Ryota Iijima & Yuhta Ishii, 2021. "Learning Efficiency of Multi-Agent Information Structures," Cowles Foundation Discussion Papers 2299R, Cowles Foundation for Research in Economics, Yale University, revised Dec 2021.
    3. Antonio Jiménez-Martínez, 2015. "A model of belief influence in large social networks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 21-59, May.
    4. Dominik Grafenhofer & Wolfgang Kuhle, 2022. "Observing actions in global games," SN Business & Economics, Springer, vol. 2(12), pages 1-15, December.
    5. Antonio Jiménez-Martínez, 2012. "Consensus in Communication Networks under Bayesian Updating," Working Papers DTE 529, CIDE, División de Economía.
    6. Martin Cripps & Jeffrey Ely & George Mailath & Larry Samuelson, 2013. "Common learning with intertemporal dependence," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 55-98, February.
    7. Rodrigues-Neto, José Alvaro, 2012. "The cycles approach," Journal of Mathematical Economics, Elsevier, vol. 48(4), pages 207-211.
    8. Morris, Stephen, 2014. "Coordination, timing and common knowledge," Research in Economics, Elsevier, vol. 68(4), pages 306-314.
    9. Dominik Grafenhofer & Wolfgang Kuhle, 2019. "Observing Actions in Bayesian Games," Papers 1904.10744, arXiv.org.
    10. Dominik Grafenhofer & Wolfgang Kuhle, 2021. "Observing Actions in Global Games," Papers 2111.10554, arXiv.org.
    11. Grafenhofer, Dominik & Kuhle, Wolfgang, 2016. "Observing each other’s observations in a Bayesian coordination game," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 10-17.
    12. Mira Frick & Ryota Iijima & Yuhta Ishii, 2021. "Learning Efficiency of Multi-Agent Information Structures," Cowles Foundation Discussion Papers 2299R2, Cowles Foundation for Research in Economics, Yale University, revised Jul 2022.

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    More about this item

    Keywords

    Common knowledge Learning Communication;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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