2. a. (7) The president of a Japanese electronics company, Takashi Hashiyama, famously chose the auction house for his company's art collection by having representatives from two auction houses, Christie's and Sotheby's, play a round of rock-paper-scissors. At stake were millions of dollars in commissions. Show the payoff matrix for a game where the payoff is 1 if you win, 0 if you tie, and -1 if you lose. I'm sure you know this already, but just in case: rock breaks scissors, scissors cut paper, and paper smothers rock. Here's anarticle about the actual game if you're interested.

b. (2) If you were in a high stakes game of rock-paper-scissors, which strategy would you choose? Briefly explain why.