We introduce a general framework to analyze the trade-off between education and family size. Our framework incorporates parental preferences for birth order and delivers theoretically consistent birth order and family size effects on children's educational attainment. We develop an empirical...

The recent literature on instrumental variables (IV) features models in which agents sort into treatment status on the basis of gains from treatment as well as on baseline-pretreatment levels. Components of the gains known to the agents and acted on by them may not be known by the observing...

We introduce a general framework to analyze the trade-off between education and family size. Our framework incorporates parental preferences for birth order and delivers theoretically consistent birth order and family size effects on children's educational attainment. We develop an empirical...

The recent literature on instrumental variables (IV) features models in which agents sort into treatment status on the basis of gains from treatment as well as on baselinepretreatment levels. Components of the gains known to the agents and acted on by them may not be known by the observing...

We introduce a general framework to analyze the trade-off between education and family size. Our framework incorporates parental preferences for birth order and delivers theoretically consistent birth order and family size effects on children's educational attainment. We develop an empirical...

This paper compares the economic questions addressed by instrumental variables estimators with those addressed by structural approaches. We discuss Marschak's Maxim: estimators should be selected on the basis of their ability to answer well-posed economic problems with minimal assumptions. A key...

This paper examines the properties of instrumental variables (IV) applied to models with essential heterogeneity, that is, models where responses to interventions are heterogeneous and agents adopt treatments (participate in programs) with at least partial knowledge of their idiosyncratic...

The recent literature on instrumental variables (IV) features models in which agents sort into treatment status on the basis of gains from treatment as well as on baseline-pretreatment levels. Components of the gains known to the agents and acted on by them may not be known by the observing...

Instrumental variables methods (IV) are widely used in the health economics literature to adjust for hidden selection biases in observational studies when estimating treatment effects. Less attention has been paid in the applied literature to the proper use of instrumental variables if treatment...