In: Economics
Suppose that Creamland and Dairy King are the only two firms that sell ice cream. The following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises:
Dairy King | |||
Advertise | Doesn't Advertise | ||
Creamland | Advertise | 10, 10 | 18, 2 |
Doesn't Advertise | 2, 18 | 11, 11 |
For example, the upper right cell shows that if Creamland advertises and Dairy King doesn't advertise, Creamland will make a profit of $18 million, and Dairy King will make a profit of $2 million. Assume this is a simultaneous game and that Creamland and Dairy King are both profit-maximizing firms.
If Creamland decides to advertise, it will earn a profit ofmillion if Dairy King advertises and a profit ofmillion if Dairy King does not advertise.
If Creamland decides not to advertise, it will earn a profit ofmillion if Dairy King advertises and a profit ofmillion if Dairy King does not advertise.
If Dairy King advertises, Creamland makes a higher profit if it chooses .
If Dairy King doesn't advertise, Creamland makes a higher profit if it chooses .
Suppose that both firms start off not advertising. If the firms act independently, what strategies will they end up choosing?
Both firms will choose not to advertise.
Creamland will choose to advertise and Dairy King will choose not to advertise.
Creamland will choose not to advertise and Dairy King will choose to advertise.
Both firms will choose to advertise.
Again, suppose that both firms start off not advertising. If the firms decide to collude, what strategies will they end up choosing?
Creamland will choose to advertise and Dairy King will choose not to advertise.
Both firms will choose not to advertise.
Both firms will choose to advertise.
Creamland will choose not to advertise and Dairy King will choose to advertise.
If Creamland decides to advertise, it will earn a profit of $10 million if Dairy King advertises and a profit of $18 million if Dairy King does not advertise.
If Creamland decides not to advertise, it will earn a profit of $2 million if Dairy King advertises and a profit of $11 million if Dairy King does not advertise.
If Dairy King advertises, Creamland makes a higher profit if it chooses to advertise .
If Dairy King doesn't advertise, Creamland makes a higher profit if it chooses to advertise
Suppose that both firms start off not advertising. If the firms act independently, what strategies will they end up choosing?
- Both firms will choose to advertise. (this is the dominant strategy for both the firms)
Again, suppose that both firms start off not advertising. If the firms decide to collude, what strategies will they end up choosing?
Both firms will choose not to advertise. (this would maximize total profits)