The mayor of Green City is considering whether to institute a Covid vaccine mandate for public employees. The fire chief opposes vaccination, and has threatened to resign if a mandate is instituted. The mayor believes that instituting a mandate is critical to getting Covid under control, and thus not instituting the mandate would costs the city -50 utility. However, the fire chief is critical to maintaining public safety. If the fire chief resigns, it would cost the city 75 utility. The fire chief believes a mandate would be an invasion of his personal freedom, costing him 20 utility. The mandate only impacts the fire chief if he does not resign. However, resigning his job as fire chief would cost him 40 utility. Draw this game. Identify how many subgames it contains. Then, solve the game to find all subgame perfect Nash equilibria.

The mayor of Green City is considering whether to institute a Covid vaccine mandate for public employees. The fire chief opposes vaccination, and has threatened to resign if a mandate is instituted. The mayor believes that instituting a mandate is critical to getting Covid under control, and thus not instituting the mandate would costs the city -50 utility. However, the fire chief is critical to maintaining public safety. If the fire chief resigns, it would cost the city 75 utility. The fire chief believes a mandate would be an invasion of his personal freedom, costing him 20 utility. The mandate only impacts the fire chief if he does not resign. However, resigning his job as fire chief would cost him 40 utility. Draw this game. Identify how many subgames it contains. Then, solve the game to find all subgame perfect Nash equilibria.

Managerial Economics: A Problem Solving Approach

5th Edition

ISBN:9781337106665

Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Chapter17: Making Decisions With Uncertainty

Section: Chapter Questions

Problem 10MC: You are considering entry into a market in which there is currently only one producer (incumbent)....

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