Which of the following statements about a Nash equilibrium is not correct?  A. Each player plays a best response to opponents' Nash strategies.   B. No player has a profitable unilateral deviation.   C. For each finite noncoopertiave game there always exists a pure strategy Nash equilibrium.   D. A game has at least two players.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Which of the following statements about a Nash equilibrium is not correct?

 A. Each player plays a best response to opponents' Nash strategies. 

 B. No player has a profitable unilateral deviation. 

 C. For each finite noncoopertiave game there always exists a pure strategy Nash equilibrium. 

 D. A game has at least two players. 

Which one of the following statements is incorrect?

 A. For dynamic games with complete information, not all subgame perfect Nash equilibrium points can be found by backward induction. 

 B. A finite dynamic game with complete information may also have a normal form representation.  

 C. A finite static game with complete information may not have a pure strategy Nash equilibrium. 

 D. A finite static game with complete information cannot have an extensive form representation. 

Which one of the following statements is correct?

 A. A supergame cannot have any subgame perfect Nash equilibrium. 

 B. A supergame can only have finite number of subgame perfect Nash equilibrium points. 

 C. None of the other answers is correct. 

 D. A supergame must have a unique subgame perfect Nash equilibrium. 

Which of the following statements about the classic Cournot duopoly model is incorrect?

  There exist examples that have unique Nash equilibrium points. 

  The products of the two firms are homogeneous. 

  The two firms decide on their prices and let their quantities be dictated demand conditions. 

  It is a static game with complete information. 

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