compete
verb [ I ]
uk/kəmˈpiːt/ usto try to be more successful than someone or something else:
It's difficult to compete when there are so many similar businesses.
Small local supermarkets are working hard to compete with the giant chains.
The company has not yet demonstrated the technical expertise to compete for international contracts to build satellites.
Startup companies must compete against established companies which have had many years to build up their markets.