to Kluge and Watkins is from a PIE base *gwhedh- "to ask, pray" (see
bead). A bid at an auction, meanwhile, is from O.E. beodan "offer, proclaim" (class II strong verb; p.t. bead, p.p. boden), from P.Gmc. *biudanan "to stretch out, reach out, offer, present," (cf. Ger. bieten "to offer"), from PIE base *bh(e)udh- "to be aware, make aware" (cf. Skt. bodhati "is awake, is watchful, observes," buddhah "awakened, enlightened;" O.C.S. bljudo "to observe;" Lith. budeti "to be awake;" O.Ir. buide "contentment, thanks").
bideO.E. bidan "to stay, continue, live, remain," also "to trust, rely" (cognate of O.N. biða, O.Fris. bidia, Goth. beidan "to wait"), apparently from PIE *bheidh-, an extended stem of one root of O.E. biddan (see
bid), the original sense of which was "to command," and "to trust"
(cf. Gk. peithein "to persuade," pistis "faith;" L. fidere "to trust," foedus "compact, treaty," O.C.S. beda "need"). Perhaps the sense evolved in prehistoric times through "endure," and "endure a wait," to "to wait." Preserved in Scotland and northern England, replaced elsewhere by abide in all senses except to bide one's time.