situace, ve které si lidé vzájemně projevují obdiv, úctu
'You haven't aged at all.' 'Neither have you and look how slim you are!' 'Hey, you two, why don't you form a mutual admiration society!' (Free Dictionary)
If we form a mutual admiration society, we will be able to carry out that responsibility by whatever means we find appropriate. (Google)
The Tweedledum-Tweedledee approach appears to please both directors, who have formed something of a mutual admiration society. (Google)