Game Matrix V

The following questions refer to the game matrix below. Each firm has a choice of saying Yes or NO. The profits each gets depend upon which it chooses.

-Refer to Game Matrix V.Which of the following values of X and Y result in there being no pure strategy Nash Equilibrium?
A) X = 21,Y = 9.
B) X = 19,Y = 11.
C) X = 31,Y = 11.
D) There will always be at least one pure strategy Nash Equilibrium in this game.

Question

Game Matrix V

The following questions refer to the game matrix below. Each firm has a choice of saying Yes or NO. The profits each gets depend upon which it chooses.

-Refer to Game Matrix V.Which of the following values of X and Y result in there being no pure strategy Nash Equilibrium?
A) X = 21,Y = 9. 
B) X = 19,Y = 11. 
C) X = 31,Y = 11. 
D) There will always be at least one pure strategy Nash Equilibrium in this game.

Quizplus · Accepted Answer

For a game matrix to have no pure strategy Nash Equilibrium, each player's best response must depend on the other player's choice, creating a cycle of preferences that prevents any pair of strategies from being a mutual best response. In option A, with X = 21 and Y = 9, the payoffs can be arranged in such a way that each player's best response keeps changing in response to the other's strategy, preventing any stable set of strategies (a Nash Equilibrium) from existing.

Game Matrix V The Following Questions Refer to the Game Matrix Below. Each