September 6th, 2000- Max Mosley says that last week’s unsuccessful attempt by several Formula 1 team bosses to oust him as president of the FIA has convinced him to seek re-election when his current term of office ends in 2001..."“If people start saying ‘you have to go’, my immediate reaction is ‘I’ll have to stay’,” said Mosley. “It always has the opposite effect on me. So I will stand for re-election again next year – provided it’s quite clear that the majority of the clubs want me."

July 16th, 2004 - Max Mosley has decided to stay on as president of the FIA until at least the end of his elected term in 2005. Mosley, who announced on July 1 that he intended to resign his position at the end of October, a year early, has been convinced to stay on by the FIA Senate. In a statement released by the FIA, Mosley was ‘unanimously called on' to rescind his decision and was informed that his early departure would damage the interests of the FIA. Mosley claims that he received approaches from all sections of the FIA who went as far as to suggest that it would be irresponsible for him to step down this year. Mosley said that he felt bound to accede the senate's request.

So when people say he should go/resign he stays, and when they say he should stay he stays

He's flip-flopped over this same "dilemma" in the same way every time his term is almost up, and the end result is always the same. He stays.