Question

Suppose there are only two firms that sell smartphones: Flashfone and Pictech. The payoff matrix that follows shows the profit (in millions of dollars) each company will earn, depending on whether it sets a high or low price for its phones. For example, the lower-left cell shows that if Flashfone prices low and Pictech prices high, Flashfone will earn a profit of $10 million and Pictech will earn a profit of $3 million. (Hint: Assume this is a simultaneous game and that Flashfone and Pictech are both profit-maximizing firms.) Pictech High Price Low Price Flashfone High Price 8, 8 3, 10 Low Price 10, 3 5, 5 If Flashfone prices high, Pictech will make more profit if it chooses alow price, and if Flashfone prices low, Pictech will make more profit if it chooses ahigh price. If Pictech prices high, Flashfone will make more profit if it chooses alow price, and if Pictech prices low, Flashfone will make more profit if it chooses ahigh price. Considering all of the information given, pricing highis not a dominant strategy for both Flashfone and Pictech. What is the Nash equilibrium of this game

Answer 1

Flashfone and Pictech

The Nash equilibrium is achieved when Pictech and Flashfone price their smartphones high without the other party changing their strategy.

Step-by-step explanation:

a) Data and Calculations:

Pictech

High Low

High 8 8 3 10

Flashfone

Low 10 3 5 5

b) By acting at the Nash equilibrium and pricing their smartphones high, Pictech and Flashfone achieve a payoff of $8 million respectively. This payoff level does not put any of the two firms at a disadvantage.