不对称信息（共25分）Consider the two games in Figure 1. Nature selects which game to play with equal proba-bility. Player 1 is informed of the selected game while player 2 is not考虑图1中的两个博弈。自然以50%的概率随机选择两个博弈中的一个。玩家1知道哪一个博弈被选中，玩家2不知道。图1:两个同时博弈(a)Find the pure strategy Bayesian Nash equilibrium of this game and calculate player 2’s expected payoff. (10 pts)找到纯策略贝叶斯纳什均衡，并计算玩家2的期望收益。（10分）(b)Now assume player 2 is also informed of the selected game. Find the pure strategyBayesian Nash equilibrium and calculate player 2’s expected payoff. (10 pts)现在假设玩家2也知道哪一个博弈被选中。找到纯策略贝叶斯纳什均衡，并计算玩家2的期望收益。（10分）(c)Compare player 2’s expected payoff in (a) and (b). What can you conclude? (5 pts)比较前两问中玩家2的期望收益，你能得出什么结论？（10分）1