What is the formal name of the number-picking game?

Question

You know that game, where you and an opponent take turns choosing numbers, and the last person to take their turn before the cumulative total passes a preset value, is the winner? What's the formal name of that game? I know it's a solved game in that there's an algorithm to generate the winning moves, but, given that google doesn't understand "that game where people take turns picking numbers", it's hard to search.

Thanks!

Answer 1

Sounds like a simple (one heap) version of Nim. Probably has its own name, but doesn't need its own analysis...

[Edit: although, isn't this game silly? If the preset total is 12, then clearly player 1 is going to say "11", and that's game over?]

Answer 2

This is an impartial game.