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7. High-tech Industry Synergy and Dynaco are the only two firms in a specific high-tech industry. They face the following payoff matrix as they decide

7. High-tech Industry

Synergy and Dynaco are the only two firms in a specific high-tech industry. They face the following payoff matrix as they decide upon the size of their research budget:

Synergy's Decision
Large Budget Small Budget
Dynaco's Decision Large Budget $20 million,$25 million $15 million,$0
Small Budget $0,$60 million $25 million,$30 million

If Synergy believes Dynaco will go with a large budget, it will choose a budget. If Synergy believes Dynaco will go with a small budget, it will choose a budget. Therefore, Synergy a dominant strategy.

If Dynaco believes Synergy will go with a large budget, it will choose a budget. If Dynaco believes Synergy will go with a small budget, it will choose a budget. Therefore, Dynaco a dominant strategy.

True or False: There is a Nash equilibrium for this scenario. (Hint: Look closely at the definition of Nash equilibrium.)

True

False

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