team captain picking

[Victor_os]

My team for the past three years have had the current team captain and the lead mentor pick the new team captain and there is usually only one student that has the ability to lead but this year there are 3 student that have the ability to lead but the entire team as far I can tell and been told only really like one of them and the current team captain and does not want them to be the next team captain so my question is how should we pick our feature team captain.