A fixed-effects logit model that accounts for feedback effects of the dependent variable on the covariates is proposed. The model is formulated by including leads of the predetermined covariates among the regressors and it is proved to satisfy certain theoretical properties under some regularity conditions on the distribution of the covariates. Estimation is based on the Conditional Maximum Likelihood (cml) method for the static logit model and the Pseudo-cml (pcml) method for the corresponding dynamic formulation. Both methods have good finite-sample properties even when the required regularity conditions are not satisfied. An application is provided about female labor supply where we jointly account for the predetermined number of children and husbands’ income. Differently from previous studies, it emerges that female employment history does not affect future fertility choices and the husband’s earnings, as no evidence of feedback effects is found.

提出了一个固定效应 logit 模型，该模型考虑了因变量对协变量的反馈效应。该模型是通过在回归变量中包含预定协变量的导数来制定的，并且证明了在协变量分布的某些规律性条件下满足一定的理论性质。估计基于静态 logit 模型的条件最大似然 ( cml ) 方法和伪cml ( pcml) 方法用于相应的动态公式。即使不满足所需的规律性条件，两种方法都具有良好的有限样本特性。提供了一个关于女性劳动力供给的应用程序，我们共同计算了预定数量的孩子和丈夫的收入。与以往的研究不同，女性的工作经历并不影响未来的生育选择和丈夫的收入，因为没有发现反馈效应的证据。