So, this triggers off any power that could target another character correct? For example if someone targets my Gen13 guy with Outwit then attacks them, will all characters with the keyword get -1 twice? Once from the Outwit and once more from the attack.

The effects don't last forever. They only apply when the character is being targeted.

Chris is right. This wont stack, or last beyond the action used. If you target multiple Gen-13 figures you wont get more than a total -1.

I always like to accept chrisdosmil's answers, but I'm a stickler for needing solid documentation to back up these things.

Don't we have rules in place that state if a duration isn't given, it lasts for the game?

I guess the duration could be "when a character using this team ability is targeted."

But that is a somewhat crypticly hidden duration if that is in fact a duration.

Okay, I'll go along with it. Changing it to "-1 until the action resolves when a character using this team ability is targeted" may be more clear, though not necessary.

Did I just use crypticly as a real word?

The activator is the character being targeted.

A character being outwitted is being targeted the -1 applies.

A character being attacked is being targeted the -1 applies.

A character being outwitted and attacked is being targeted the -1 applies.

Basically, I think the state of being targeted is either yes or no, not how much.