You don't. The PCSX2 emulator will allow a very skillful commuter user to complete some game titles, but it is not as problem free as just using the PS2 see related link
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No the PSP can not play PS2 games
No a PS2 will not play Nintendo 64 games
PS2 games can not be made to play on a PS3 that does not already play PS2 games
No Nintendo DS games were not designed to play on the PS2 and the PS2 can not play them
You can play PS2 games and some PlayStation titles. Consoles do not play PC games and the PlayStation will not play any of the Xbox or Nintendo consoles games. The PS2 does not Play PS3 games