Probably not unless they are Psn classics that work for ps3 and psp like Final Fantasy VII and VIII
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play the ps3 games in psp they will converted to psp games
no
No the PSP plays PSP games. The PS2 and PS3 games would be too complex to run even if a PSP version was made it has to be made with less capabilities so the PSP can run the program
Yes, the PSP can connect to the PlayStation Network, where you can purchase and download games.
You can't, PS3 Games are too powerful