Provided are a vehicle and a control method for the vehicle. The vehicle includes an engine, a fuel tank configured to store a fuel for the engine, a grille shutter, and an ECU. The grille shutter is configured to regulate an introduction air from an outside of the vehicle to an inside of the vehicle. The ECU is configured to determine whether or not the fuel is deteriorating. The ECU is configured to control the grille shutter such that an amount of the introduction air in a case where the fuel is deteriorating is larger than an amount of the introduction air in a case where the fuel is not deteriorating.