egg on

verb

To stir to action or feeling: excite, foment, galvanize, goad, impel, incite, inflame, inspire, instigate, motivate, move, pique, prick, prod, prompt, propel, provoke, set off, spur, stimulate, touch off, trigger, work up. See cause/effect, excite/bore/interest.

Incite, urge ahead, provoke, as in Jack is always egging me on to drive faster, or Seemingly quiet, Margo actually eggs on Donald to quarrel with his staff. This expression has nothing to do with hen's eggs but comes from an Old Norse word, eggja, "to edge." Both edge on and egg on were used interchangeably, but today the latter is preferred. [c. 1200]

Definition: push to do something
Antonyms: discourage, dissuade, hold back, talk out of

The verb has one meaning:

Meaning #1: urge on; cause to act
  Synonyms: prod, incite