I've Heard That Premium Gas Has A Fuel Stabilizer In It, Which Of Course Is Better For Vehicles That's Tend To Sit Long Without Being Used. Is That True? Other Than Premium Gas Being Less Likely To Cause Engine Knocking, Is There Really Any Other Benefit For Premium Gas? Is There Really Fuel Stabilizer In Premium Gas?

As for the fuel stabilizer additive, I don't think Ive heard of it being in there.
Premium fuels (high octane) will actually take longer to burn in the combustion chamber than lower octane fuels. Higher compression engines and super/turbo charged engines need a higher octane, because faster burning fuels will easily create detonation within the chamber.( that's bad) If the fuel/air charge is burned too fast (before piston reaches top of compression stroke) the result will be 'pinging' of the piston from trying to finish coming up while the expansion of the gases try to slam it back down.
I suggest looking in your owners manual for your car - if it calls for 87 octane, run it and save the extra money of putting in higher octane. Just because they call it "premium" does not mean its better for your particular type of engine.

Fuel stabilizer in premium gas is a new one to me--I've never heard that before. For cars requiring it, the main benefit of premium gas is the higher octane rating, which helps prevent knock by creating a more even burn. High compression ratio engines tend to require higher octane gas to prevent engine knock, which can be very damaging over time, particularly on large engines. Some of the best premium gasolines, such as Shell Super V, Chevron Supreme, and the old Mobil Super +, have higher detergent levels for cleaning injectors and intake manifolds. There's no need, though, for the average car, requiring 87 Octane fuel, to regularly use this grade of gas. Based on several oil industry chemists I've talked to in Texas, who's opinions I respect, they recommend running a tankful of the premium gasolines mentioned above every 3 months in most cars to keep fuel injectors clean. Following this approach, there's no possibility of damaging oxygen sensors or catalytic converters. The same thing, though, could be accomplished by adding fuel injector cleaner to your gas several times a year. Shell Regain and Chevron Techron are two well-regarded additive products in this area.

Premium gas does have additives but not a fuel stabilizer that I know of.
There is no huge advantage to using premium in the average 87 octane car.
It will also over time leave buildup on the plugs.
Save the $ stick with 87.

Thanks for the help guys!