Communication in awareness reaching consensus without acyclic condition II

Authors:
Ken Horie;Takashi Matsuhisa
Affiliations:
Advanced Course of Electronic and Computer Engineering, Ibaraki National College of Technology, Hitachinaka-shi, Ibaraki, Japan;Department of Liberal Arts and Sciences, Ibaraki National College of Technology
Venue:
CIS'04 Proceedings of the First international conference on Computational and Information Science
Year:
2004

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Abstract

We present a communication process according to a protocol which is associated with an awareness and belief model. In the model we impose none of the requirements for player's knowledge as those in the standard model with partition information structure. We show that consensus on the posteriors for an event among all players can still be guaranteed in the communication even when the protocol contains a cycle. AMS 2000 Mathematics Subject Classification: Primary 91B50, 91B60; Secondary 03B45. Journal of Economic Literature Classification: D51, C78, D61.