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Robust communication on networks

Author

Listed:
  • Marie Laclau
  • Ludovic Renou
  • Xavier Venel

Abstract

We consider sender-receiver games, where the sender and the receiver are two distinct nodes in a communication network. Communication between the sender and the receiver is thus indirect. We ask when it is possible to robustly implement the equilibrium outcomes of the direct communication game as equilibrium outcomes of indirect communication games on the network. Robust implementation requires that: (i) the implementation is independent of the preferences of the intermediaries and (ii) the implementation is guaranteed at all histories consistent with unilateral deviations by the intermediaries. Robust implementation of direct communication is possible if and only if either the sender and receiver are directly connected or there exist two disjoint paths between the sender and the receiver.

Suggested Citation

  • Marie Laclau & Ludovic Renou & Xavier Venel, 2020. "Robust communication on networks," Papers 2007.00457, arXiv.org, revised Oct 2020.
  • Handle: RePEc:arx:papers:2007.00457
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    References listed on IDEAS

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    Cited by:

    1. Itai Arieli & Yakov Babichenko & Fedor Sandomirskiy, 2022. "Bayesian Persuasion with Mediators," Papers 2203.04285, arXiv.org, revised Sep 2022.
    2. Blume, Andreas & Lai, Ernest K. & Lim, Wooyoung, 2023. "Mediated talk: An experiment," Journal of Economic Theory, Elsevier, vol. 208(C).

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