[Question] Does this game have a name?

[Mis-Understandings]

There is a game where one player wants to predict the action of the other, and the other player wants them to fail (as a fixed sum game)

It has payoffs

1,-1| −1,1

-1,1|1,-1

Or equivalent.

I believe that it has a nash equilibrium of choosing randomly.

[Steven Joyce]

Matching pennies: https://​​en.wikipedia.org/​​wiki/​​Matching_pennies

[Mis-Understandings]

Thank you.

[andrew sauer]

This is equivalent to the game Westley played with Vizzini. You know, if Westley didn’t cheat. I like to call it “Sicilian Chess” for that reason, though that’s just me.

[robo]

BTW, feed this post into ChatGPT and it will tell you the answer