We develop a model of internal constraints to show that a greater degree of initial disadvantage results in a higher likelihood of low aspirations and low achievement. Our model and results are supported by evidence from anthropology, sociology and social psychology. Our analysis suggests that internal constraints are a key ingredient in perpetuating poverty traps. We show that a poor person will choose to restrict her cognitive window (the set of other individuals who are her role models) and study the conditions under which a role model could alter her aspirations and achievement. We show how enodgenously chosen cognitive windows interact with the inital distribution of status to determine whether or not a society is connected, an...