Suppose that China and the US are considering international trade policies to either liberalise (i.e. open) or restrict (i.e. close) their import markets. Gains from trade for each country (in $bn) are given in the payoff matrix below: USA Close Open Close 3, 2 12, 8 China Open 10, - 80 35, 20 a) Suppose that each nation knows the payoff matrix shown above, and believes that the other country will choose rationally (to maximise its own welfare): i. Does either country have a dominant strategy? Explain. (5 marks) ii. Is there any Nash equilibrium in this game? Explain. (2 marks) b) Now suppose that China is uncertain that the US will choose rationally Specifically