The article explores how private and public companies compete in a mixed market where the public company is less efficient. They found that if the public firm is only slightly less efficient, both types of firms tend to choose price competition. But if the public firm is significantly less efficient, only the private firm chooses price competition. Interestingly, when the public firm is slightly less efficient, social welfare is highest when both firms compete on price. However, if the public firm is much less efficient, social welfare is better when the private firm sets prices and the public firm sets quantities. Additionally, the private firm's profit ranking does not change based on the type of competition.