Fuzzy Communication Leading to Equilibrium through Possibility Messages

A communication system in the S5n-knowledge model is presented which leads to a Nash equilibrium of a strategic form game through robust messages. In the communication system each player predicts the other players´ actions under his/her private information. The players communicate privately their conjectures through message according to the communication graph, where each recipient of the message learns and revises his/her conjecture. We show that the conjectures converges to a mixed strategy Nash equilibrium for the game after long running communication. The emphasis is on that each player sends not exact information about his/her individual conjecture but fuzzy information about the conjectures.