1
general::
Reward and punishment used as persuasive measures, as in Management dangled the carrot of a possible raise before strikers, but at the same time waved the stick of losing their pension benefits. This term alludes to enticing a horse or donkey to move by dangling a carrot before it and, either alternately or at the same time, urging it forward by beating it with a stick. [Late 1800s]
American Heritage Idioms