Indulge means to yield to a desire, to be permissive. The adjective is indulgent. The expression self-indulgent is often used to describe a person who is indulgent with her own desires.
Francis must sublimate his passion for forces and fulcrums while he is playing; he would be pummeled, on the mound or otherwise. But in the privacy of rehab, during his lost 2009 season, he can indulge in an interest that will long outlive his playing career. (NY Times)
At a time when they are not short of pressing problems to deal with, the presence of 100-odd world leaders at the two-week meeting that starts in Copenhagen on December 7th to renew the Kyoto protocol on climate change might seem a little self-indulgent. (The Economist)