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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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