What is the name of a game in which if you both choose the same, you will lose, otherwise, one will win?

Question

I am familiar with games like Prisoners Dilemma and Chicken game. However, I could not find out the name of this specific game that I believe should have interesting properties. This game has this payoff matrix:

Do you know whether this game has a famous name?

Answer 1

Turning my comment into an answer: This is an instance of an (anti-)coordination game. See this link.