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Econ 227-02Answers to HW2U4. Use successive elimination of dominated strategies to solve the following game. Explain the steps you followed. ColumnLeftMiddleRightRowUp4, 32, 70, 4Down5, 05, –1–4, –2For Column, Right is dominated by Middle. With Right eliminated, Down becomes a dominant strategy. ColumnLeftMiddleRowUp4, 32, 7Down5, 05, –1With Up eliminated, Left is the dominant strategy. The Nash equilibrium is Down, Left.ColumnLeftMiddleRowDown5, 05, –1U7. The game known as the Battle of the Bismarck Sea (names for that part of the southwestern Pacific Ocean separating the Bismarck Archipelago from Papua-New Guinea) summarizes a well-known game actually played in a naval engagement between the United States and Japan during World War II. In 1943, a Japanese admiral was ordered to move a convoy of ships to New Guinea; he had to choose between a rainy northern route and a sunnier southern route, both of which required three days’ sailing time.