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

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Utilities<br />

5<br />

4<br />

3<br />

2<br />

1<br />

8. Sharing the gains from marriage 377<br />

2.2 2.4 2.6 2.8 3.0 3.2 3.4 3.6 3.8 4.0 4.2 4.4<br />

FIGURE 8.10. Impact of a Rightwards Shift in Female Income Distribution on<br />

Public Consumption and the Husband’s Private Consumption<br />

changes affecting the wife’s situation do affect the structure of consumption;<br />

moreover, improving the wife’s status boost public spending within<br />

the couples - a fact that has been abundantly confirmed by empirical investigation,<br />

especially if we think of children as a primary example of public<br />

consumption (see Chapter 5).<br />

8.4 Matching by Categories<br />

The matching model and the associated allocation rules that we have discussed<br />

so far assume some idealized conditions that are not likely to hold<br />

in practice. The most common way to make the model more applicable<br />

is to introduce frictions and some bargaining over the resulting surplus.<br />

There is, however, an alternative modeling choice that goes part of the<br />

way towards reality and is based on the recognition that the researcher<br />

observes only part of the data that motivates and restricts choices. This<br />

is particularly true in marriage markets where explicit market prices do<br />

not exist and the division within families of consumption or time is rarely<br />

observed. This path has been followed by Choo and Siow (2008) and <strong>Chiappori</strong>,<br />

Salanié and Weiss (2010); the presentation given here follows the<br />

latter contribution.<br />

To incorporate unobserved heterogeneity, we consider a case in which<br />

x

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