No, the PSP 1000 requires a higher amount of amperage. If you put a PSP 2000's battery in, it won't even turn on.
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There are no such things as 'PSP 1001' games. All UMD games work with all models of the PSP, excluding the PSP GO which has no UMD slot.
You can run a PSP without it having a battery, it's not very convenient though. It will only operate while it has the charger in.
okay,i answer this questions to my friends all the time..a psp 1000 or 1001 isn't compadible with 2000 or 3000 BUT the games are made so that you can play it on ANY psp manufactured by SONY.If you have a friend that has a psp 1001 and you have a 3000 and you want to multiplayer lets say midnight club 3 dub edition you cant because the psp 3000 can understand the psp 1001 but the 1001 cant understand the 3000 because its an evolved technology Hey, can a psp 1000 play with a 2000? besides the size what is the difference between a 2000 and 1000?
Yes the psp 1000 has a fatter battery than the other two models. the fat battery will work on psp 2000 and 3000 but the battery cover wont close.
All you need to do is get a Pandora battery and magic memory stick, it takes only a few minutes.