Some sort of prisoners dilemma: separate each of the 4 and offer leniency to the first one that admits guilty and turns the other two accomplices over. Hang the 2 guilty, release the innocent with compensation for the misunderstanding, and let the rat live out their days working for the betterment of the kingdom.

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And in the case of nobody admiting guilty?

The whole point of ‘prisoners dilemma’ is one of them cracks. Even innocent people will admit guilt to get away from interrogation.