Solve for the equilibrium

Here is the short video.  Here is text with photos and another video.  Five Ukrainian women, in an Ukrainian art museum.  They are sleeping, or rather pretending to sleep, dressed up as Sleeping Beauty.  Men come along and kiss them, on the lips, with each man allowed only one kiss.  They have all signed legally binding contracts.  If a woman responds to a kiss by opening her eyes and “waking,” she must marry the man.  The man must marry the woman.

Who will kiss?  When do eyes get opened?

The museum gives out free breath mints.

For the pointer I thank the excellent Daniel Lippman.

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