No, PSP games should be played on a PSP and DS games should be played on a DS. I dont think that the DS can take the PSP graphics and the resolution.
You can get sims castaway on both PSP and the DS
I think it's better for the PSP because I have it for the PSP and my cousin gas it for DS and PSP and he said the PSP is better.
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the psp
Yes the PSP does have better graphics than the DS
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For original ds, ds lite, both dsi's psp is better for 3DS kind of a tie
PSP because a DS you only go left and right and PSP you can go anywhere
Yes. The Nintendo DS has the same headphone port as the PSP, so the headsets can be used on both. It is probably recommended, though, that you use the PSP headsets for the PSP only, considering that it was designed for the PSP. In practice, you may use them for both. Source: I own a PSP and a DS :)