^^^like he said.
Higher octane fuel actually has less heat energy, and is hardrer to ignite. If your engine needs it, you need it to avoid preignition. But if the engine does not need it, there is no performance benifit, and actually it will, in theory, reduce your power and milage because of it's lower heat energy and the fact that the ignition system will have a harder time igniting it.
The car is rated to run on 87, so it SHOULD run best on 87. Now I personally haven't confirmed this, but I have heard that the PCM can be seen retarding the timing (knock retard, observed on a scantool) on 87, which would indicate that the car is better suited for 89 (they can tell you to run whatever fuel you want, the computer will adjust timing to avoid preigniton, you will just loose power). If this knock retard is true, than the car should, in theory, run better and get better milage on 89. But judging by the engine's construction and compression, and the fact that the cited knock retard is only in the neighborhood of 3 degrees, I'd wager that the car has no use for 91 or 93 octane fuel, therefore no benefit from it. That is, of course, unless the engine is tuned for 93, which would involve more agressive timing strategy to take atvantage of the extra kock reistance of the higher octane fuel.