We argue that the complex interactions of competitive heterogeneous firms lead to a statistical equilibrium distribution of firms' profit rates, which turns out to be an exponential power (or Subbotin) distribution. Moreover, we construct a diffusion process that has the Subbotin distribution as...

We express the idea of classical competition in a statistical equilibrium model, where the tendency for competition to equalize profit rates results in an exponential power (or Subbotin) distribution. The model supports and extends recent evidence on the Laplace distribution of growth rates in...

The second part of the thesis focuses on a different stochastic problem of finding the optimal hedging points in a manufacturing flow control system. Our simulation-based method allows solving large scale systems that are considered very difficult to solve by current standards in the literature.