How does the leader's behavior in the quantity-leadership (Stackelberg)game compare to that in the analogous price-leadership game?

Question

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In the Stackelberg quantity-leadership game, the leader acts as a "top dog" by setting a higher quantity to dominate the market. In contrast, in a price-leadership game, the leader acts as a "puppy dog" by setting a lower price to deter entry or competition.

How Does the Leader's Behavior in the Quantity-Leadership (Stackelberg)game Compare