PSP advantages:
Better graphics.
Play movies.*
Play music.*
Play games at PSX quality.
Access internet.
Wireless gaming.
Pictures.
*There's a catch. The included memory stick has almost no space and it is a pain to get a new one. Plus, you have to pay for a new UMD (movies) for it if you don't want to use memory space.
DS advantages:
Much better for FPS', RPG's, and some other games.
Two screens. OMFG.
Touch screen has possibilities.
Also wireless gameplay.
More manageable screen.
Somewhat better battery life.
COST!
I probably missed a few things, but whatever. In short: here's how I see it. PSP is a multimedia platform. In a way, a fairly restricted computer. If you want a portable computer or just can't afford a real one, go with the PSP. If you just want a simple gaming system, go with the DS.
I choose the DS because I don't care much about having a portable computer. Plus, I can put all my music on a Creative Zen and be done with it. Well, not all but a lot of it.
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1.Earlier release
2.Price wise.. not everyone can afford PSP if they can get a DS for cheaper
3.Nintendo's handheld has been legend. The average handheld gamer are more "familiar" Nintendo brand handhelds.
Just give the PSP time.. its Sony's first release. It will take over just as the home entertainment system has.
Gender: Male Location: Kicking pigs out of the screen.
Psp has a better variety of games, and plays games somewhere betweeen ps1 and ps2, haven't you seen some of them, PSP is bettter for fighters and such, with its better button set up and more options, and it is best suited for people with larger hands.
The 2 screens for DS are near useless to be honest, and the stylus if okay, but more of a gimmick and a pain in the ass to use.
Regardless even though I don't like handhelds, I still know that PSP is the better machinery but expensive and isn't kid friendly, like the DS.
The movies are excellant quality on the PSP. And don't forget that the PSP can use emulators to play ROMs. No need for your GBA anymore . But you can't forget that the DS can watch TV. I don't consider this a very big deal because I don't watch a lot of TV. But it would be really nice to watch adult swim with your DS.
PSP wins though because it holds almost all possible forms of entertainment.