1.You are the manager of a firm that manufactures front and rear windshields for the automobile industry. Due to economies of scale in the industry, entry by new firms is not profitable. Toyota has asked your company and your only rival to simultaneously submit a price quote for supplying 100,000 front and rear windshields for its new Highlander. If both you and your rival submit a low price, each firm supplies 50,000 front and rear windshields and earns a zero profit. If one firm quotes a low price and the other a high price, the low-price firm supplies 100,000 front and rear windshields and earns a profit of $9 million and the high-price firm supplies no windshields and loses $1 million. If both firms quote a high price, each firm supplies 50,000 front and rear windshields and earns a $7 million profit. Determine your optimal pricing strategy if you and your rival believe that the new Highlander is a "special edition" that will be sold only for one year. Would your answer differ if you and your rival were required to resubmit price quotes year after year and if, in any given year, there was a 50 percent chance that Toyota would discontinue the Highlander? Explain.

2. Japanese officials are considering a new tariff on imported pork products from the United States in an attempt to reduce Japan's reliance on U.S. pork. Due to political pressure, the U.S. International Trade Representative's (ITR) office is also considering a new tariff on imported steel from Japan. Officials in both Japan and the U.S. must assess the social welfare ramifications of their tariff decisions. Reports from a reliable think-tank indicate the following: If neither country imposes a new tariff, social welfare in Japan's economy will remain at $4.8 billion and social welfare in the United States will remain at $44 billion. If both countries impose a new tariff, welfare in the United States declines 0.5 percent to $43.78 billion and welfare in Japan declines by 0.8 percent to $4.76 billion. If Japan does not impose a tariff but the United States does, projected welfare in Japan is $4.66 billion while welfare in the United States is $44.2 billion. Finally, if the U.S. does not impose a tariff but Japan does, welfare is projected at $43.66 billion in the United States and $4.85 billion in Japan. Determine the Nash equilibrium outcome when policy makers in the two countries simultaneously but independently make tariff decisions in a myopic (one-shot) setting. Is it possible for the two countries to improve their social welfare by "agreeing" to different strategies? Explain