4. Synergy and Dynaco are the only two firms in a specific high - tech industry. They face the following payoff matrix as they determine the size of their research budget: Synergy's Deision Lange Budget Srall bodget Symelgy Dynaco ins Large Synergy gain Dynmeo's budget Dynaro $420M Zero gains $707 lgains $30M Synergy Synergy gains Decision Smell Dynaco gains Pynaco gains $50M Budget Jains zero a. Does Synergy have a dominant strategy? Explain. b. Does Dynaco have a dominant strategy? Explain. c. Is there a Nash equilibrium for this scenario? Explain. (Hint: Look closely at the definition of Nash equilibrium.)

Principles of Microeconomics (MindTap Course List)
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Author:N. Gregory Mankiw
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Chapter17: Oligopoly
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mall Dynaco Jains Pynaco gains
4. Synergy and Dynaco are the only two firms in a specific high - tech industry. They face
the following payoff matrix as they determine the size of their research budget:
Synergy's Deeision
Small Bodget
Lange Budget
Synergy gain
$420M
Symedgy
Dynaco ins
Large
budget Dynaro
gains $30M
Synergy
Small Dynaco Jains
Budget Jains zero
Dynae's
2ero
gains $70m
Synergy
Pynaco gains
gains #50M
Decision
a. Does Synergy have a dominant strategy? Explain.
b. Does Dynaco have a dominant strategy? Explain.
c. Is there a Nash equilibrium for this scenario? Explain. (Hint: Look closely at the
definition of Nash equilibrium.)
Transcribed Image Text:mall Dynaco Jains Pynaco gains 4. Synergy and Dynaco are the only two firms in a specific high - tech industry. They face the following payoff matrix as they determine the size of their research budget: Synergy's Deeision Small Bodget Lange Budget Synergy gain $420M Symedgy Dynaco ins Large budget Dynaro gains $30M Synergy Small Dynaco Jains Budget Jains zero Dynae's 2ero gains $70m Synergy Pynaco gains gains #50M Decision a. Does Synergy have a dominant strategy? Explain. b. Does Dynaco have a dominant strategy? Explain. c. Is there a Nash equilibrium for this scenario? Explain. (Hint: Look closely at the definition of Nash equilibrium.)
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