the lenovo y580 comes with nvidia optimus. they will auto change the graphic card when not in use. however, does your gta 4 lags when play?

Just force the game to run with dedicated GPU

try this?:
Go to the NVIDIA Control Panel by right clicking on your desk top and clicking on "NVIDIA Control Panel".

In the default screen that pops up (it should be "manage 3D settings", and the "Program Settings" tab should be automatically selected), under "1. Select a program to customize:" hit the "Add" button.

From here, navigate to the folder where your steam games are located.

Select the folder for the game you want to use your NVIDIA card for, and find the .exe for that game (it's usually right in the main game folder). Select it and hit open.

Then, under "2. Select the preferred graphics processor for this program:" open the drop-down menu and select "High-performance NVIDIA processor".

Finally, hit apply in the far bottom right corner.

Set the power management to Lenovo Dynamic Graphics

Are you sure you use the "Lenovo Energy App"? Not the usual window power profile.