Game Theoretic Model for the OFDM Water-Filling Algorithm with Imperfect Channel State Information

In this paper the game-theoretic model of the water-filling algorithm for an OFDM system is presented. The considered game model concerns the strategic choice of assigning the transmission power to each individual subcarrier in the situation of uncertainty regarding the channel state information (CSI). Strategies, utilities and payoffs are defined, and the application of the model in the time-varying radio environment is discussed. Simulation results show that by choosing the appropriate utility parameters and the CSI-error probability distribution model, a player can approach water-filling results in terms of the radio channel capacity and the transmitted power.