tie (v.) Look up tie at Dictionary.com
Old English tigan, tiegan "to tie, bind, join, connect," from the source of tie (n.). Meaning "to finish equal to a competitor" is from 1888. Related: Tied; tying. To tie the knot in the figurative sense "form a union" is from 1707. Tie one on "get drunk" is recorded from 1944.
tie (n.) Look up tie at Dictionary.com
Old English teag, "cord, band, thong, fetter," literally "that with which anything is tied," from Proto-Germanic *taugo (source also of Old Norse taug "tie," tygill "string"), from PIE root *deuk- "to lead" (source also of Old English teon "to draw, pull, drag").

Figurative sense is recorded from 1550s. Sense of "cravat, necktie" (usually a simple one knotted in front) first recorded 1761. The railway sense of "cross-beam between and beneath rails to keep them in place" is from 1857, American English. Meaning "equality between competitors" is first found 1670s, from notion of a connecting link. Tie-breaker is recorded from 1938.