v.1. To move something gradually: He edged the car out of the garage.
2. To displace or surpass someone or something gradually: The large company began to edge out its competitors one by one. One of my coworkers is trying to edge me out of my job.
3. To surpass or beat someone by a small margin: The incumbent edged out the challenger by 200 votes. The runner edged her opponent out at the last moment.