On the Stackelberg equilibrium of total weighted squared correlation in synchronous DS-CDMA systems: theoretical framework

We characterize the total weighted squared correlation (TWSC) criterion used in uplink synchronous code division multiple access (S-CDMA) as a payoff function in the context of the game theoretical framework. By using the majorization theory we proved that the value of the game for two players is a saddle-point corresponding to the minimum of TWSC (Stackelberg equilibrium point). The optimal mixed strategies for transmitter and jammer are derived.