Consensus, communication and knowledge: An extension with Bayesian agents

@article{Mnager2006ConsensusCA,
  title={Consensus, communication and knowledge: An extension with Bayesian agents},
  author={Lucie M{\'e}nager},
  journal={Mathematical Social Sciences},
  year={2006},
  volume={51},
  pages={274-279}
}
Parikh and Krasucki [1990] showed that pairwise communication of the value of a function f leads to a consensus about the communicated value if the function f is convex. They showed that union consistency of f may not be sufficient to guarantee consensus in any communication protocol. Krasucki [1996] proved that consensus occurs for any union consistent function if the protocol contains no cycle. We show that if agents communicate their optimal action, namely the action that maximizes their… CONTINUE READING

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