Well, even though you didn't supply a reason, I'll appease your request.
Give a reason to what? Why batman can win one on one? Why he would win with prep while the others do not have any prep or why he would win with prep even if the other side have prep as well?
You've got Spiderman and Captain America here. Spiderman, in my opinion, is just as smart as Batman is, he just doesn't have all the necessary funds that Bruce has. Captain America is the strategic master of Marvel. Both of these guys together can think of anything Batman can, and will be able to counter whatever Batman dishes out.
Well in my opinion spiderman is not as smart as batman and batman being smart has nothing to do with money. It just makes acquiring the materials for his toys a whole lot easier.
Besides even if he does have the money to buy his equipments, does he not still have to put the pieces together in order to make what ever he happens to be building? I am asking a question.
Captain America is a strategic genius but so is batman. Two heads are sometimes better than one. But not in this case prep time is one of batman's most powerful asset and with it he has taken down the best. This is not going to any different.
Now, back to my one-on-one without prep theory:Wolverine will never go down against Batman. Batman will eventually fatigue and that's when Wolverine will strike.
Spiderman. I'm not even going to go into that. Such a curbstomping for Batman.
Captain America is just slightly superior to Batman, and will be able to eventually take him out after a loooong battle.
So, I stand by what I said. One-on-one, they can still win. If each side gets prep, the trio wins again.
Now, I am not going to go in to why batman can beat these guys one on one but if you want to pursue this further you could dig up their respectable threads and I will meat you. You dig.