Egg On Meaning

(transitive, idiomatic) To encourage or coax a person to do something, especially something foolhardy or reckless.

Example: 1892, Lesslie Hall (translator), Beowulf, ch. 35,
  Then I heard that at morning one brother the other / With edges of irons egged on to murder,
1908, Robert Louis Stevenson, In the South Seas, ch. 25,
  He resented the idea of interference from those who had […] egged him on to a new peril.
1912, P. G. Wodehouse, The Adventures of Sally, ch. 8,
  She had deliberately egged him on to wreck his prospects.