1. Find the [pure strategy) Nash equilibria of the following game between Alex and Ben: 2. The Centipede Game: In this game, players land |l take turns deciding whether to end the game by playing OUT or whether to continue the game by playing IN. There are supposed to be 100 decision nodes in the game, but the point will be clear enough if we considerjust a few. The data for the game is depicted below: IIEEE_ OUT - 2 II Ends with (O, 2) Ends with (2, 1) Draw the game tree and find the equilibrium