On the Correlated Equilibrium Selection for Two-User Channel Access Games

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.