Consider a modified version of rock-paper-scissors in which Bart gets a bonus when he wins with Rock. If Bart picks Rock while Lisa picks Scissors, Bart wins twice as many points as when either player...

Consider a modified version of rock-paper-scissors in which Bart gets a bonus when he wins with Rock. If Bart picks Rock while Lisa picks Scissors, Bart wins twice as many points as when either player wins in any other way. The new payoff matrix is:

(a) What is the mixed-strategy equilibrium in this version of the game?

(b) Compare your answer here with your answer for the mixed-strategy equilibrium in Exercise S10. How can you explain the differences in the equilibrium strategy choices?