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February 23, 2005

More Homework for Brad

I managed to thoroughly confuse myself this morning trying to think about the details of how population growth enters the standard infinite-horizon Ramsey Growth Model. Chad Jones suggests that I go back and reread:

Gary Becker and Robert Barro (1988), "A Reformulation of the Economic Theory of Fertility," Quarterly Journal of Economics (NBER Working Paper 1793: http://www.nber.org/papers/w1793).

Posted by DeLong at February 23, 2005 12:21 PM

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Comments

I managed to thoroughly confuse myself this morning trying to get my new toaster to work. You’d think it would include an instruction manual, but you would be wrong. Apparently it only cooks bread- not chops.

Posted by: Harry Hutton at February 23, 2005 12:59 PM


But in the standard Ramsey model, fertility is exogenous.

The model here might be useful for thinking about fertility and capital accumulation in fully modern societies, but does not seem useful for thinking about the demographic transition. (The authors seem to acknowledge as much on p. 14). Until a fairly advanced stage of development is reached, children are both a consumption good and savings vehicle for old age support. That's still the case in China.

Posted by: Matt at February 23, 2005 03:01 PM


Matt's summary hits one of the key problems with the piece. (Full disclosure: I tried reading it two years ago, and was so amazed by the unreality of the simplifying assumptions that I couldn't get through the rest of the paper; have attempted to remedy that this time, but...)

Even after realising that the dynamism of one generation should affect future breeding, the authors maintain the veneer of "let's assume that the cost of child-rearing (Beta), the rate of interest (r), and the wages to be received (w) are all constant."

That alone makes the paper inapplicable to any but an advanced society that accesses cheaper labour only to the extent that (w) can be maintained--even ignoring that one has to assume its value at the beginning of one's adulthood. (Hot type setters need not breed.)

It's a decent framework for a fantasy world--even ignoring the Brooksian assumption that one breeds asap--but it combines so many values in the altruism function that one wishes the author's had less of a magic wand.

Posted by: Ken Houghton at February 24, 2005 01:49 AM


Maybe economics should be moved over the biology department.

Posted by: cloquet at February 24, 2005 10:22 AM


Remember the point of olg models is to get to a point of stability- not have models that blow up incessantly. Population growth should be considered to be exogenous, unless you assume resource constraints that will also force limits in the model. Personally I think OLG was a dead letter ten years ago, but we still teach it and flog it to the grad students and publish papers perpetuating it. A small usefull tool, but too much has been put into it. Kind of like grand equilibrium theory. Or a super microeconomic theory that explains macroeconomic variance;-}

Posted by: AllenM at February 24, 2005 11:13 AM


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