Quiz 1 bonus question 11 • “At least half of the people taking this quiz will label this statement ‘true’.” – 9 out of 9 answered “true”! – Everyone was right! – If everyone had answered “false”, that would have been right, too… 0 1 2 3 4 5 6 7 8 9 # true pure-strategy equilibria • A (symmetric) mixed-strategy equilibrium: everyone plays “true” with probability ½ Quiz 1 bonus question 12 • “At least half of the people taking this quiz will label this statement ‘false’.” – 5 out of 9 answered “false” – Those 5 were wrong, because they made the statement true. – Of course, there had to be at least 5 wrong answers (why?), so overall the class did as well as it could have… 0 1 2 3 4 5 6 7 8 9 # false pure-strategy equilibria • A (symmetric) mixed-strategy equilibrium: everyone plays “true” with probability ½