to lose smb's competitive edge on a market

to increasing the competitive edge of the company — увеличить конкурентные преимущества компании

to gain competitive edge over smb — получить конкурентные преимущества над кем-л.

The Body Shop has gained competitive edge over giant cosmetic companies such as Unilever, Procter & Gamble, and Revlon by pioneering an "all natural" line of products.

The Public Parking Authority has gained an unfair competitive edge over private parking lot owners through tax exemptions and lower rates.

to lose smb's competitive edge on a market — потерять конкурентной преимущество на каком-л. рынке