258 CHAPTER 9 Medium Access Control Games · The game has a unique strictly mixed Nash equilibrium given by 1 - r K-1 , r K-1 . 1 1 · The allocation of utility obtained in these (partially or completely) mixed strategies is not Pareto optimal. 9.3 ACCESS CONTROL GAMES FOR MULTI-RECEIVER NETWORKS Consider a wireless communication network with K transmitters and with S receivers. As a first step, receivers are assumed to use orthogonal channels: two packets sent over two different channels do not collide. As a second step, a network model for which inter-channel interference is possible is studied. The utility functions are defined as in Sec. 9.2 and the game is denoted by K,1,S . 9.3.1 Two-User MAC Game