The Battle of the Bismarck Sea (named for that part of the southwestern Pacific Ocean separating the Bismarck Archipelago from Papua New Guinea) was a naval engagement played 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. TheAmericans knew that the convoy would sail and wanted to send bombers after it, but they did not know which route it would take. The Americans had to send reconnaissance planes to scout for the convoy, but they had only enough reconnaissance planes to explore one route at a time. Both the Japanese and the Americans had to make their decisions with no knowledge of the plans being made by the other side. If the convoy was on the route that the Americans explored first, they could send bombers right away, if not, they lost a day of bombing. Poor weather on the northern route would also hamper bombing. If the Americans explored the northern route and found the Japanese right away, they could expect only three (of four) good bombing days; if they explored the northern route and found that the Japanese had gone south, they could also expect threedays of bombing. If the Americans chose to explore the southern route first, they could expect fourfull days of bombing if they found the Japanese right away but only two days of bombing if they found that the Japanese had gone north. a.lllustrate this game in a game table.Make sure to write payoffs in the following way: days of bombing is a payoff for the Americans and the loss for the Japanese. b.Identify any dominant strategies in the game (if any). c.Solve for the Nash equilibrium(if any).
The Battle of the Bismarck Sea (named for that part of the southwestern Pacific Ocean separating the Bismarck Archipelago from Papua New Guinea) was a naval engagement played 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. TheAmericans knew that the convoy would sail and wanted to send bombers after it, but they did not know which route it would take. The Americans had to send reconnaissance planes to scout for the convoy, but they had only enough reconnaissance planes to explore one route at a time. Both the Japanese and the Americans had to make their decisions with no knowledge of the plans being made by the other side. If the convoy was on the route that the Americans explored first, they could send bombers right away, if not, they lost a day of bombing. Poor weather on the northern route would also hamper bombing. If the Americans explored the northern route and found the Japanese right away, they could expect only three (of four) good bombing days; if they explored the northern route and found that the Japanese had gone south, they could also expect threedays of bombing. If the Americans chose to explore the southern route first, they could expect fourfull days of bombing if they found the Japanese right away but only two days of bombing if they found that the Japanese had gone north. a.lllustrate this game in a game table.Make sure to write payoffs in the following way: days of bombing is a payoff for the Americans and the loss for the Japanese. b.Identify any dominant strategies in the game (if any). c.Solve for the Nash equilibrium(if any).
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Transcribed Image Text:The Battle of the Bismarck Sea (named for that part of the southwestern Pacific Ocean separating the Bismarck
Archipelago from Papua New Guinea) was a naval engagement played 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.
TheAmericans knew that the convoy would sail and wanted to send bombers after it, but they did not know which route it
would take. The Americans had to send reconnaissance planes to scout for the convoy, but they had only enough
reconnaissance planes to explore one route at a time. Both the Japanese and the Americans had to make their decisions
with no knowledge of the plans being made by the other side. If the convoy was on the route that the Americans explored
first, they could send bombers right away; if not, they lost a day of bombing. Poor weather on the northern route would
also hamper bombing. If the Americans explored the northern route and found the Japanese right away, they could
expect only three (of four) good bombing days; if they explored the northern route and found that the Japanese had gone
south, they could also expect threedays of bombing. If the Americans chose to explore the southern route first, they could
expect fourfull days of bombing if they found the Japanese right away but only two days of bombing if they found that
the Japanese had gone north.
a.lllustrate this game in a game table.Make sure to write payoffs in the following way: days of bombing is a payoff for the
Americans and the loss for the Japanese.
b.Identify any dominant strategies in the game(if any).
c.Solve for the Nash equilibrium(if any).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education