Jisho

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Expressions (phrases, clauses, etc.), Noun
1. carrot and stick; candy and whipIdiomatic expression
Wikipedia definition
2. Carrot and stickCarrot and Stick (also "carrot or stick") is an idiom that refers to a policy of offering a combination of rewards and punishment to induce behavior. It is named in reference to a cart driver dangling a carrot in front of a mule and holding a stick behind it. The mule would move towards the carrot because it wants the reward of food, while also moving away from the stick behind it, since it does not want the punishment of pain, thus drawing the cart.
Read “Carrot and stick” on English Wikipedia
Read “飴と鞭” on Japanese Wikipedia
Read “Carrot and stick” on DBpedia
Other forms
飴とムチ 【あめとムチ】アメとムチ

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