| Abstract: | Mathematical tools, such as static and dynamic optimization theory and game theory, are used to axiomatize developmental theory and to model the interaction between parents, their infant children and siblings. Parents allocate their time between parenting and other activities. They respond to their children's demand for attention. Children signal attention seeking by “crying”. Jealous siblings vie for their parents' attention. Parents, children and siblings are assumed to pursue their goals efficiently. The model solves for the equilibrium amount of crying by siblings, the allocation of parents' time between themselves and their children, and the sub-allocation of attention between rival siblings. Parents have an enlightened self-interest in promoting their children's independence, which they do by setting limits. In this they tread a fine line between spoiling and depriving their child. The model is dynamized to solve the optimal development policy of parents and to formalize the separation process of children from parents. |
