Handbook of ROCOR Liturgical Practice:

When multiple priests serve the Divine Liturgy, who bestows the peace upon the people at the various appointed portions of the service?

 

Technically, the presiding priest (whoever is standing at the front of the Holy Table) always bestows the peace throughout the whole of the Liturgy. However, it is the normal practice within the ROCOR that when priests concelebrate, the peace is bestowed upon the people by whichever priest has pronounced the exclamation just before it — thus ‘sharing’ this act between the various priest across the service. This is blessed as the normal practice for our Diocese.

This is not to be done, however, when an Abbot or Archimandrite serves within his own monastery. In this case the Abbot always bestows the peace.