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This is wrong on so many levels. However the worst aspects of this proposal is not the obvious sexism but something more fundamental, that being government, and these authors, should coerce a change in inter-family relationships if the family wants it or not.
If there is an inequity in household chores, you should consult you spouse not presumptuious economists. That being said, economic incentives should be voluntary, not forced upon those who are content with their present situation. There are too many negative economic and social scenarios gender taxation would create to cover here. However I believe the worst result would be the resentment of both men and women having their family being manipulated by the government to effect a dubois and presumptuous personal change, not to mention the frustration, bitterness,resentment and the feeling of discrimination of nearly 1/2 of the population of this country.
Stephen