Representations of Games

Here are four games.

  1. Johnny picks either Heads or Tails. Oskar, seeing what Johnny has done, does the same. If they make the same choice, Oskar pays Johnny $1. If not, Johnny pays Oskar $1.
  2. Johnny picks either Heads or Tails. Oskar pics Heads or Tails without seeing Johnny’s pick. If they make the same choice, Oskar pays Johnny $1. If not, Johnny pays Oskar $1.
  3. Oskar picks either Heads or Tails. Johnny pics Heads or Tails without seeing Oskar’s pick. If they make the same choice, Oskar pays Johnny $1. If not, Johnny pays Oskar $1.
  4. Emil flip a coin to decide who goes first: Oskar if Heads, Johnny if Tails. Whoever goes second moves without seeing the first player’s move. If they make the same choice, Oskar pays Johnny $1. If not, Johnny pays Oskar $1.

Think about the following questions:

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