As the advancement of technology, the world energy consumption increases. At the moment, a large proportion of the required energy is supplied by non-renewable sources. Using these kind of sources causes environmental pollution and it also makes countries dependent to the others which are producers of these kind of fuels. As the growing need of energy and reducing non-renewable sources along with the environmental protection, the necessity of using alternative energy sources which are clean, cheap and renewable is considered. One of the manners to reach these goals is using electric vehicles (EVs). Increasing the number of electric vehicles in the power networks make them a new king of load which should be considered in the network analysis. The presence of the vehicles on the grid make some opportunities and challenges for the power grid. To meet the challenges and seizing the opportunities, management the presence of EVs on the power grid is necessary. To reach more efficient management methods, it's necessary to consider EVs' users' behaviors. In this regard, the goal of this research is modeling the behavior of EV users by considering effective parameters. For this purpose the effective parameters on the behavior of EV users are determined and users' utility functions are calculated. To investigate the proposed model, competitions between fuel provider and aggregators in charging mode and V2G mode are modeled in a market using game-theoretic approach. Through the competitions, providers bid prices to pursue users. In this thesis, pure Nash equilibrium of the competitions is obtained using simulation tools and the influence of time and price sensitivity, charging rate, mileage and efficiency of vehicles are evaluated on the Nash equilibrium. key word: Electric Vehicle, Behavioral Modeling, Smart Grid, Aggregator