Overall the Revolver has the edge. That is using the average model of both types of weapons.
The Revolver has the edge in frame construction, usually has a longer barrel and typically the longer the barrel the better the accuracy and more FPS you'll generate. Revolvers usually come in meaner calibers. So usually the first shot is all you need. If you read accounts of gun fights, especially from the old West, it was not who shot first but who shot best that won. If you can drop your opponent with a first shot then follow ups are not necessary generally negating an Automatic's advantages in round capacity and rounds per minute.
Revolvers are far less likely to malfunction than Automatics. Over all Revolvers are easier to clean, easier to maintain and easier to repair. Far less moving parts means they are likely to last longer. Automatics are susceptable to being damaged. Dropping one is far more likely to incur damage than dropping a revolver. It only takes a minor dent in the slide to freeze up a revolver. Automatic clips may if kept loaded malfunction, the springs failing under the strain. Revolvers have no such worries. The sights tend to be easier to use on a Revolver than an Automatic. There are no cases ejecting to bounce off walls, people or anything else, thus no chance of a hot case winding up bouncing off your face or down the back of your shirt when using a revolver. The tolerances of an automatic are much finer. So variences in ammo, weather, and a host of other conditions can possibly render an automatic into a jam machine. Many Autos are picky about what kind/brand of ammo they like. Generally if you can chamber it a Revoler will reliably shoot it. Might not be the best ammo for that weapon but today and it looks like in the near future availibility of ammo is a major factor in choosing a weapon. The scarcity means shooting your favorite brand is not really an option. Thus potentially leaving you in the situation where the only ammo easily obtained is a type/brand your gun doesn't like.
Autos are only faster for as many clips as you have pre-loaded. If you have only 1 clip and 100 rounds to fire, the revolver is going to spit out those 100 rounds faster as it takes much longer to load a clip than to fill a revolver. I can for example eat up a box of 50 .357 rounds in minutes where it takes me close to 15-30 minutes to do the same using 2 clips and a .40 auto. Clip capacity is also a factor.
In terms of concealed carry automatics have a huge advantage.
I've fired hundreds of revolvers and automatics. Overall I am more accurate with Revolvers not just with first shot but with subsequent shots.
That said these are all generalities. There are a host of factors. One of THE most innaccurate guns I've ever fired was a snub nosed Taurus .357. It wasn't as bad as a .25 auto but then again nothing I've fired came close to being as inaccurate as a .25 auto. Ruger and Colt .45s autos I've fired have been exceptionally accurate. The Ruger was built on a 10mm frame, thus it's kick was almost nothing. The trigger design made rapid fire difficult but who needs it if you hit the target the first time? At least with a round heavy enough to keep it down. I've fired Glocks in many different calibers but the ones I've fired have been too small. No way I could shoot them two handed, just nowhere to put my left hand, attempting to do so generally got me bit by the slide. The small frame exagerated the kick making even a 9 feel like I was shooting something heavier. Fired lots of other types and styles and calibers of automatics. Some good, some horrible some inbetween.
Then there are personal factors. The heavier calibers revolvers usually come in are a bit too much for some people. The military got away from .45s because of the influx of women who often found .45s a bit much, though I've known some women who could group nicely in the bullseye with a .44 mag. So the kick is a factor. The specific gun is a factor. I voted for Revolver but I'd much rather have a Colt .45 auto than a Taurus anything. I'd rather use a .40 Ruger auto than a .38 special. Cost of the weapon is a practical factor many people forget to consider when recomending weapons. Better to shoot a .380 than throw rocks. If .380 is all you can afford it's all you can afford.
People also tend to have an affinity for what they learned to shoot with. So they'll naturally gravitate toward that.
So "better" is a relative term. A generic that can only be a general idea rather than a specific.