The changing patterns of transportation from conventional IC-Engines to modern Electric vehicles (EVs) bring a lot of opportunities for ancillary services in the grid through a market-based approach. One of the ancillary services to the grid is congestion management. With the deregulation of the conventional energy market, congestion has become one of the main concerns for ISOs (Independent System Operators). To address this issue in a smart grid environment, a reliable method with a global influence by controlling congestion in multiple lines at any location across the network is needed. This paper presents a game-theoretic approach for multi-line congestion control in a smart grid environment. First, the grid runs a
constrained optimization problem to minimize the energy trade for the congestion management problem. Then, the EVs play a game to inject or draw powers at congested line-sensitive buses based on the optimized solutions to control the line flow. A Nash Equilibrium is achieved in the game that optimizes the EV incentive and solves the congestion problem. The algorithm was applied to IEEE-16 Machine 68-Bus standard test system and was able to generate promising results.