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Pierre André Chiappori (Columbia) "Family Economics" - Cemmap

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8. Sharing the gains from marriage 361<br />

8.2.6 Matching on preferences: Roe vs. Wade and female<br />

empowerment<br />

In the matching models presented so far, income is the trait on which<br />

people match. But other determinants can also be considered. In a recent<br />

paper, <strong>Chiappori</strong> and Oreffice (2007) use a matching model to analyze the<br />

impact of the legalization of abortion on power allocation within couples. 9<br />

In their framework, people differ in their preferences towards children; the<br />

corresponding matching patterns - and the resulting allocation of resources<br />

- can be studied before and after legalization.<br />

That the legalization of abortion should alter the balance of powers<br />

within couples is not surprising; 10 indeed, Oreffice (2007) has provided<br />

an empirical study based on the collective approach to household behavior,<br />

that confirms the ‘empowerment’ consequences of Roe vs.. Wade. Still,<br />

the mechanism by which this empowerment occurs deserves some scrutiny.<br />

While it is not hard to convince oneself that some women (for example,<br />

career-oriented women with little taste for family life) will gain from legalization,<br />

whether all women will is another matter. A strong objection<br />

is that women have heterogeneous preferences for fertility (or different attitudes<br />

toward abortion); some do not consider abortion as an option, either<br />

for religious and ethical reasons or because they do want children.<br />

Whether the legalization will benefit these women as well is not clear.<br />

From an economist’s perspective, moreover, the new context will affect the<br />

matching process on the market for marriage, and in particular the way<br />

the surplus generated by marriage is shared between spouses. In principle,<br />

such ‘general equilibrium’ effects could annihilate or even reverse the direct<br />

impact of the reform, particularly for these women who are unlikely<br />

to derive much direct benefit fromit.<br />

Preferences<br />

To investigate these issues, <strong>Chiappori</strong> and Oreffice consider a model in<br />

which a continuum of men and women derive utility from one private composite<br />

good c (the price of which is normalized to 1) and from children; Let<br />

the dummy variable k denote the presence (k =1) or the absence (k =0)of<br />

children in the household. Men have identical, quasi-linear preferences over<br />

consumption and children. The utility of single men only depends on their<br />

consumption; that is, men cannot derive utility from (and do not share the<br />

9 The version presented here is a slightly simplified version of the original paper;<br />

in particular, we assume here that men have identical preferences, and concentrate on<br />

preference heterogeneity among women.<br />

10 See for instance Héritier (2002).

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