verb

encourage someone to do something foolish or risky.

he liked to boast and she would egg him on shamelessly

urge,goad,incite,provoke,prick,sting,propel,push,drive,prod,prompt,induce,impel,spur on,cheer on,encourage,exhort,stimulate,motivate,galvanize,act as a stimulus to,act as an incentive to,inspire,stir,root on,light a fire under,incentivize