The dynamics of within-group and between-group interaction

The article strengthens and provides a dynamic extension of the theory on collective rent seeking and private provision of a public good. Each individual agent within each group chooses in continuous or discrete time a continuous or discrete effort level. The combined effort within each group provides within-group public goods which are used as an input in the between-group n-group competition for an external prize. Intergroup mobility and intergroup warfare are allowed for. Each group and each individual agent within each group get a fraction of the prize based on a linear combination of equity and relative effort. A model/algorithm is developed generating analytical results and simulations illustrating how the interaction within and between groups proceeds through time.