Defining my role as a dominant

Having read more on the Dominant's role, there seems to be a mix of opinions on whether a Dom should apologize.  One school of thought is that apologizing makes a Dom seem lesser to a sub, but at the same time, apologizing seems to keep at the forefront the idea that we are working with people.

Do the Doms at The Cage apologize?  Do the subs at The Cage think less of the Doms who do?  I am looking for your personal experiences.