We analyzed the market for indivisible, pure status goods. Firms produce and sell different brands of pure status goods to a population that is willing to signal individual abilities to potential matches in another population. Individual status is determined by the most expensive status good one...

The cycles approach uses graph theory and linear algebra to study models of knowledge, characterized by a state space, a set of players and their partitions. In finite state spaces, there is a simple formula for the cyclomatic number; i.e., the dimension of cycle spaces of a model. We prove that...