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The Value of Mediated Communication

Author

Listed:
  • Andrés Salamanca

    (SDU - University of Southern Denmark)

Abstract

This paper characterizes optimal communication equilibria (which models mediation) in sender-receiver games. We assume that communication devices are designed to maximize the ex-ante welfare of the informed party (i.e., the sender). Communication equilibria are defined by a set of linear incentive constraints. The associated dual variables of these constraints yield shadow prices that are used to get "virtual utility functions" that intuitively characterize the signaling costs of incentive compatibility. A key result is a characterization of the value of an optimal communication equilibrium (value of mediation) from the concavification of the sender's indirect virtual utility function over prior beliefs. Using this result we provide necessary and sufficient conditions for a communication equilibrium to be optimal. An additional result establishes a bound on the number of messages that the sender needs to convey in order to achieve the value of mediation.

Suggested Citation

  • Andrés Salamanca, 2016. "The Value of Mediated Communication," Working Papers hal-01289379, HAL.
  • Handle: RePEc:hal:wpaper:hal-01289379
    Note: View the original document on HAL open archive server: https://hal.science/hal-01289379v5
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    Cited by:

    1. Laura Doval & Vasiliki Skreta, 2022. "Mechanism Design With Limited Commitment," Econometrica, Econometric Society, vol. 90(4), pages 1463-1500, July.
    2. Smolin, Alex & Doval, Laura, 2021. "Information Payoffs: An Interim Perspective," TSE Working Papers 21-1247, Toulouse School of Economics (TSE).
    3. Laura Doval & Alex Smolin, 2021. "Persuasion and Welfare," Papers 2109.03061, arXiv.org, revised Sep 2023.

    More about this item

    Keywords

    Mediated communication; Incentive compatibility; Virtual utility; Concavification;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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