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Keith and Blake play a simultaneous one-shot game. Keith chooses between Top and Bottom, Blake chooses between left and right. Payoffs are given by (Keith's

Keith and Blake play a simultaneous one-shot game. Keith chooses between Top and Bottom, Blake chooses between left and right. Payoffs are given by (Keith's payoffs are listed first and Blake's payoffs second):

Top+left: 3, -6.

Top+right: 0, -7

Bottom+left: 4, 0.

Bottom+right: -2, 6.

  1. In a mixed strategy equilibria, Keith will play Top with what probability?
  2. In a mixed strategy equilibria, Blake's payoff will be:

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