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The way they've discribed it, is the DS sets up its own kind of network grid.

as long as your in distance to connect to one person in the grid, your connected to that entire grid. Now it depends on how good the DS does and how many people get it. but if you think of North America, then put a grid patter over it... And a dot lights up every time someone activates a DS.... as long as you can connect the dots from one spot to the other.. everyone in that line is connected. More that have a DS, the bigger the network gets and more people it can connect to.

Which then this grid is further enhanced by people using wireless network with internet in thier home. Say you got a small grid in new york, everyones in reach and everyone connects to each other. but theres no trail that leads from the 'ny network' to another group of people in chicago. If one of the people in NY connected to that network, is connected to the internet. and one in chicago is also. i guess thoes 2 networks become one.

Now the more you think about this the more it gets confusing.
The simplist way to say it, is that Each DS acts as a WiFi reciever, and a repeater hub to send the signal back out.

and i think the PSP works the same way.