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Introduction to Game Theory/Matching Pennies
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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 Heads Tails 1, -1 -1, 1 -1, 1 1, -1
Battle of the sexes Nash equilibrium