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In this letter, we consider a simple two-user channel access game and investigate how to improve the performance of Nash equilibrium (NE) by employing a correlated device that coordinates the users' actions and leads them to play a higher efficiency correlated equilibrium (CE). Unlike existing papers, we discuss both the public and private CEs and quantify their performances in various simple, but illustrative scenarios. Moreover, we propose a simple procedure for the correlated device to select the CE leading to the highest payoff, without the need for the users to report their private utility functions.
Date of Publication: March 2009