The aim of this paper is to investigate the role that the marital status of children has in shaping the living arrangements of their widowed mothers and themselves and to explain the increase in the proportion of elderly widows living alone, which grew by 23.2% in the USA between 1970 and 1990. We propose a model where living arrangements are determined as the outcome of a game between the mother and her child, and where the fundamentals of the model depend on children's marital status. We estimate the model using 1970 data. We calculate the accuracy of the estimation and we obtain an excellent fit. Using the same measure of accuracy, the estimated model predicts that changes in the incomes of both the widow and her offspring and changes in the children's marital status generate more than the 83% of the increase in the number of widows living alone.
