Rotten kid theorem
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Gary Becker
Gary Becker
Gary Stanley Becker is an American economist. He is a professor of economics, sociology at the University of Chicago and a professor at the Booth School of Business. He was awarded the Nobel Memorial Prize in Economic Sciences in 1992, and received the United States' Presidential Medal of Freedom...

's theorem of social interaction, colloquially known as the rotten kid theorem, suggests that family members, even if they are selfish, will act to help one another if their financial incentives are properly linked.

Becker creates a hypothetical situation in which children will receive gifts of money income from a wealthy, altruistic
Altruism
Altruism is a concern for the welfare of others. It is a traditional virtue in many cultures, and a core aspect of various religious traditions, though the concept of 'others' toward whom concern should be directed can vary among cultures and religions. Altruism is the opposite of...

parent in order to make them happy. One of the kids is a selfish, "rotten" kid who would take pleasure in harming his sibling. The theorem posits that the rotten kid has an incentive to avoid hurting his sibling, and will in fact behave in such a way as to increase her happiness, because her happiness has a direct effect on the amount of money he will receive. Without creating any formal incentive structure, the altruistic parent can induce the rotten child to behave benevolently by making his welfare contingent upon the welfare of his sibling.

The theorem suggests that parents should delay gifts of money to their children until they are older, or possibly until after they die. If parents plan to will their children money in accordance with their needs, each child will have an incentive to help his siblings maximize their income, because higher earnings by the other siblings will mean that more of the money will be given to the rotten sibling.
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