Question
1. The table below shows expected payoffs (in $billions) for GM and the United Auto Workers (UAW) as they enter contract negotiations. UAW Strike Concede
1. The table below shows expected payoffs (in $billions) for GM and the United Auto Workers (UAW) as they enter contract negotiations.
UAW | |||
Strike | Concede | ||
GM | Bargain Hard | -20, -10 | 10, -5 |
Concede | -10, -2 | -5, 0 |
a. Using game theory for a one-shot, simultaneous decision game, find all the Nash equilibria.
b. Each side enters negotiations threatening to take a hard line (Bargain Hard or Strike). Does either side have a credible threat? If so, which side?
2. The table below shows expected payoffs (in $billions) for Boeing and Airbus. Each has the resources to build only one new plane, either a jumbo or regular plane.
Airbus | ||||
Boeing | No New Plane | Regular | Jumbo | |
No new plane | 0,0 | 0,10 | 0,8 | |
Regular | 10,0 | 7,7 | -1,9 | |
Jumbo | 8,0 | 9,-1 | 1,1 |
a. Using game theory for a one-shot, simultaneous decision game, find all the Nash equilibria.
b. Identify any dominant strategies. (Just say Airbus, Regular for example)
c. Identify any dominated strategies.
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