“…Excellent monographs on social and economic networks are Goyal (2007), Jackson (2008) and Vega-Redondo (2007 situations, where strong doubly-supported links ''work'' better than weak singly-supported ones, but both types of link are feasible. If links are interpreted as attempts to initiate communication which may fail with a certain probability, as in Bala and Goyal (2000b), it is assumed here that communication through a link is insured when both players intend it, otherwise it might fail with some probability. 2 We study Nash, strict Nash and pairwise Nash stability for this intermediate model.…”