Introduction to Game Theory/Matching Pennies

In this game we imagine two players, each with a penny. They independently choose a side of the coin and then simultaneously show the other the chosen side. If the sides match, then Player 1 gains Player 2's penny. If the sides differ, Player 2 wins Player 1's penny.

Matching Pennies Player 2
Heads Tails
Player 1 Heads 1, -1 -1, 1
Tails -1, 1 1, -1

Battle of the sexes · Nash equilibrium