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Multidimensional cheap talk with sequential messages

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  • Miura, Shintaro

Abstract

This paper studies a two-dimensional cheap talk game with two senders and one receiver. The senders possess the same information and sequentially send messages about that information. In one-dimensional sequential message cheap talk games where the state space is unbounded, the information is fully transmitted under the self-serving belief, as suggested by Krishna and Morgan (2001b). However, this result depends crucially on the structure of the one-dimensional model. It generally does not hold in two-dimensional models. We consider the extended self-serving belief, which implies full information transmission even if the self-serving belief cannot work. Then, we show that the necessary and sufficient condition for the existence of the fully revealing equilibrium is that the senders have opposing-biased preferences.

Suggested Citation

  • Miura, Shintaro, 2014. "Multidimensional cheap talk with sequential messages," Games and Economic Behavior, Elsevier, vol. 87(C), pages 419-441.
    • Handle: RePEc:eee:gamebe:v:87:y:2014:i:c:p:419-441
    DOI: 10.1016/j.geb.2014.06.005
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    References listed on IDEAS

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    Cited by:

    1. Lu, Shih En, 2017. "Coordination-free equilibria in cheap talk games," Journal of Economic Theory, Elsevier, vol. 168(C), pages 177-208.
    2. Saori Chiba & Kazumi Hori, 2020. "Two-sided Strategic Information Transmission," KIER Working Papers 1029, Kyoto University, Institute of Economic Research.
    3. Chiba, Saori & Hori, Kazumi, 2022. "Two-sided strategic information transmission," Games and Economic Behavior, Elsevier, vol. 134(C), pages 229-241.
    4. Kawai, Keiichi, 2015. "Sequential cheap talks," Games and Economic Behavior, Elsevier, vol. 90(C), pages 128-133.

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    More about this item

    Keywords

    Multidimensional cheap talk; Multi-senders; Sequential communication; Fully revealing equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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