Profit of Price with Supermodular Game for Spectrum Sharing in Cognitive Radio Using Genetic Algorithm

Cognitive radio is wireless communication system used for higher spectrum utilization for spectrum holes that are shared between primary (or licensed) users and secondary (or unlicensed) users. Primary service provider can sell unused holes for secondary service provider in which pricing is interested factor for market equilibrium. This process called spectrum trading. Pricing in spectrum sharing depends on spectrum demand from unlicensed users and requirements of primary users to gain payoff. In this paper, supermodular competitive game will be investigated considering Bertrand competition model among primary service providers, which is not clarified until now. In the competitive Bertrand game, the aim of spectrum trading process is to maximize the individual payoff or profit for each primary service provider. Moreover, genetic algorithm will be applied to demonstrate the effect of pricing in profit gained by primary service provider with optimizing profit function from abrupt changing in pricing and achieving market equilibrium.