We provide a new full-commitment intertemporal collective household model to estimate resource shares, defined as the fraction of household expenditure enjoyed by household members. Our model implies nonlinear time-varying household quantity demand functions that depend on fixed effects. We provide new econometric results showing identification of a large class of models that includes our household model. We cover fixed-T panel models  where the response variable is an unknown monotonic function of a linear latent variable with fixed effects, regressors, and a nonparametric error term . The function may be weakly monotonic and time-varying, and the fixed effects are unrestricted. We identify the structural parameters and features of the distribution of  fixed effects. In our household model, these correspond to features of the distribution of resource shares . Using Bangladeshi data, we show : women's resource shares decline with household budgets ; and , half the variation in women's resource shares is due to unobserved  heterogeneity.
We provide new results showing identification of a large class of fixed-T panel models , where the response variable is an unknown , weakly monotone, time-varying transformation of a latent linear index of fixed effects, regressors, and an error term drawn from an unknown stationary distribution. Our results identify the transformation, the coefficient on regressors, and features of the distribution of the fixed effects. We then develop a full-commitment intertemporal collective household model, where the implied quantity demand equations are time-varying functions of a linear index. The fixed effects in this index equal logged resource shares, defined as the fractions of household expenditure enjoyed by each household member . Using Bangladeshi data, we show that women's resource shares decline with household budgets and that half of the variation in women's resource shares is due to unobserved household-level heterogeneity.
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