Return to the game among the three lions in the Roman Colosseum in Exercise S8 in Chapter 3. (a) Write out this game in strategic form. Make Lion 1 the row player, Lion 2 the column player, and Lion 3...

Return to the game among the three lions in the Roman Colosseum in Exercise S8 in Chapter 3.

(a) Write out this game in strategic form. Make Lion 1 the row player, Lion 2 the column player, and Lion 3 the page player.

(b) Find the Nash equilibria for the game. How many did you find?

(c) You should have found Nash equilibria that are not subgame-perfect. For each of those equilibria, which lion is making a noncredible threat? Explain.