Question 3. (15 points) Find all Nash equilibria in pure strategies for the following games. First check for dominated s
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Question 3. (15 points) Find all Nash equilibria in pure strategies for the following games. First check for dominated s
Question 3. (15 points) Find all Nash equilibria in pure strategies for the following games. First check for dominated strategies. If there are none, solve the games using successive elimination of dominated stategies. For each game identify whether it is zero-sum or not. (a) COLIN Up Down (b) Up ROWENA Straight Down (c) Up ROWENA Straight Down (d) Up High Low Down ROWENA ROWENA Left 3,1 5,2 Left 2,9 6,4 4,3 Left 5,3 6, 2 1,7 North 6,4 7,3 8,2 3,7 Right 4,2 2,3 COLIN Middle 5,5 9,2 2,7 COLIN Middle 3,5 4,4 6,2 Right 6,2 5,3 7,1 Right 2,6 3,5 2,6 COLIN South 7,3 3,7 6,4 5,5 East 5,5 4,6 3,7 4,6 a West 5,5 2,8 5,5 3