What happens in a duopoly if both firms try to act as the Stackelberg

What happens in a duopoly if both firms try to act as the Stackelberg leader?

What will be an ideal response?

ANSWER

If both firms think they are the leader, they will maximize profits subject to the other firm’s response function. Each firm will produce twice what the other firm thinks it is producing. As a result, output and price are driven to the competitive equilibrium.