In this paper, I calculate the semiparametric information bound in two dyna
mic panel data logit models with individual specific effects. In such a mod
el without any other regressors, it is well known that the conditional maxi
mum likelihood estimator yields a rootn-consistent estimator. In the case w
here the model includes strictly exogenous continuous regressors, Honore an
d Kyriazidou (2000, Econometrica 68, 839-874) suggest a consistent estimato
r whose rate of convergence is slower than rootn. Information bounds calcul
ated in this paper suggest that the conditional maximum likelihood estimato
r is not efficient for models without any other regressor and that rootn-co
nsistent estimation is infeasible in more general models.