Rivalled

The two students rivalled each other for the top grade in the class.

The two scientists rivalled each other in a research project.

The two girls rivalled each other in their grades in math class.

The two countries rivalled each other for control of the disputed territory.

The two companies rivalled each other for market dominance in the 90s.

The two boys rivalled each other in their video game scores.

The two sisters rivalled each other in a drawing competition.

The two athletes rivalled each other in several competitions throughout their careers.

The two politicians rivalled each other for votes during the election campaign.