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Updated: Oct 26, 2025

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Strategic manipulation in Bayesian dialogues.

Christina Pawlowitsch1

  • 1LEMMA-Laboratoire d'Économie Mathématique et de Microéconomie Appliquée, Université Panthéon-Assas Paris II, Paris, France.

Synthese
|July 26, 2021
PubMed
Summary
This summary is machine-generated.

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In Bayesian dialogue, truthfully reporting beliefs is not always optimal, even with aligned interests. Strategic deviation can help achieve common knowledge of an event

Area of Science:

  • Decision Theory
  • Game Theory
  • Epistemic Logic

Background:

  • Bayesian dialogue involves iterative belief updating between agents.
  • Aumann's agreement result establishes conditions for common knowledge.
  • Strategic communication can influence belief convergence.

Purpose of the Study:

  • To investigate strategic reporting in Bayesian dialogue.
  • To challenge the assumption that truthful reporting is always optimal.
  • To explore deviations from truth-telling to achieve common knowledge.

Main Methods:

  • Introduced a game-theoretic model of Bayesian dialogue.
  • Provided a specific example demonstrating strategic deviation.
  • Analyzed the role of conversational implicature in belief reporting.
Keywords:
Bayesian implicaturesCommon beliefCommon knowledgeConvergence of beliefs

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Main Results:

  • Demonstrated that deviating from truthful reporting can be optimal.
  • Showed that strategic deviation can prevent premature convergence (blocking).
  • Highlighted how such deviations facilitate achieving common knowledge.

Conclusions:

  • Truthful reporting is not always the best strategy in Bayesian dialogue.
  • Strategic communication, akin to conversational implicature, can enhance information aggregation.
  • The findings offer a dynamic foundation for epistemic agreement beyond Aumann's static result.