A new working team was created few days ago in my company, I was usually natural leader on every team I worked on there. With no kind of differentiations in wages, just leadership.
In this new group, there is another like me, and it's very clear that he wants to be the leader as much as I do. So far, we didn't have any fight, but there were some tense moments between us.
How should I act? Is it healthy for the team having two people fighting for leadership? Should I let him be the leader?
Additional info that may be useful: In my company there are no team leaders, just a boss that mixes the teams.