like i first stated, the correct pressure is probably the right pressure. unless you are racing.
lower pressure gives more grip (to an extent), higher pressure gives more slip.
If you underinflate, the tire will crown and create a reverse effect of grip. you would want higher pressure in the front, for example if your car has oversteer, and vise-versa for the opposite.
for everyday use - best gas mileage, ride, and control, the correct psi is the right psi!