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carrot and stick

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]

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The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.