Dynamic Spectrum Leasing Under Uncertainty: A Stochastic Variational Inequality Approach

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In this paper, the authors study the competition among the Primary Users (PUs) in a Dynamic Spectrum Leasing (DSL) system where multiple PUs lease spectrum to the Secondary Users (SUs) for monetary rewards. Considering the uncertainties of the PUs' channel gains and of the SUs' demands for spectrum, the competition among the PUs is formulated as a stochastic Nash game. Due to the uncertainties, the PUs aim to maximize their long term utilities which are related to the income from leasing spectrum and to their Quality of Service (QoS) conditions. Resorting to the Stochastic Variational Inequality (SVI) theory, they investigate the existence and uniqueness of the Stochastic Nash Equilibrium (SNE).