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A Fresh Look at the Rotten Kid Theorem--And Other Household Mysteries
Ted Bergstrom, University of California, Santa Barbara
Published in the Journal of Political Economy in 1989.
ABSTRACT: Gary Becker's ``Rotten Kid Theorem'' asserts that if all
family members receive gifts of money income from a benevolent
household member, then even if the household head does not precommit to an incentive plan for family members, it will be in the interest of selfish family members to maximize total family income. We show by examples that the Rotten Kid theorem is not true without assuming transferable utility. We find a simple condition on utility functions that is necessary and sufficient for there to be the kind of transferable utility needed for a Rotten Kid Theorem. While restrictive, these conditions still allow one to apply the strong conclusions of the Rotten Kid Theorem in an interesting class of examples.
SUGGESTED CITATION: Ted Bergstrom,
"A Fresh Look at the Rotten Kid Theorem--And Other Household Mysteries"
(October 1, 1989).
Department of Economics, UCSB.
Ted Bergstrom.
Paper 1989A.
http://repositories.cdlib.org/ucsbecon/bergstrom/1989A
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