What type of touch screen allows for multiple simultanious inputs, such as pressing a button on the right side of the screen, and one on the left side of the screen, to jump.

The displays that allow for multiple inputs at the same time are the CAPACITIVE screens.

The majority (if not all) modern phones have capacitive touch screens with multi touch.

There are multi-touch resistive screens as well.

Mainly capacitive screens, that are found on basically 100% of the smartphones and tablets today. There are resistive multi-touch screen too, but they aren't used by pricing reasons and the general need to apply pressure to make the touch work (more adequate for stylus).

There are multi-touch touchcreens with infrared laser grids too. These technology is used to build giant touchscreens. You buy a glass frame that has an invisible grid of infrared lasers and just put it over a big TV to create a gigantic touchscreen. I once used a 40' TV to play Angry Birds and Plants vs Zombies, it's pretty cool.

It's necessary to remind you that these screens highly vary in the amount of touches supported. A multi-touch screen is one that can detect at least two points. Tablets and notebooks almost always come with a 10 point touchscreen, while phones may have less (since you won't use 10 fingers on it).

Good call. I've got infrared on my ereader too. You can use anything to navigate infrared touch screens and they're extremely sensitive. I get tiny insects turning the pages of the book and calling up the dictionary all the time.

Didn't knew they were using these ones on small screens. I always liked the response and sensitivity on them and it's a pretty scalable tech.