Implies harshness or cruelty, often in a situation of conflict or power imbalance. The dictator tried to starve the rebels into giving up.
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Not Literal
"Starve into" can be used metaphorically, not just about actual hunger. The company aimed to starve the competition into bankruptcy.
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Extreme Measure
Indicates a severe method to force someone's actions, not a gentle persuasion. He would not reveal the information, no matter how they tried to starve him into it.