Muller's ratchet is a paradigmatic model for the accumulation of deleterious mutations in a population of finite size. A click of the ratchet occurs when all individuals with the least number of deleterious mutations are lost irreversibly due to a stochastic fluctuation. In spite of the simplicity of the model, a quantitative understanding of the process remains an open challenge. In contrast t...

This dissertation considers two research problems that Information Technology (IT) service firms and IT-intensive products manufacturers face in the digital economy. The first essay deals with the yield management for IT service firms. Given a fixed capacity of the IT workforce within a firm, the nature of IT projects, the demand uncertainty, and the growing competition among IT vendors, IT ser...

The paper examines the allocation of macroeconomic risks a stochastic growth model with overlapping generations. For several standard models with CRRA preferences, I find laissez faire ex ante inefficient in the direction of imposing too little productivity risk on the old and too much risk on the young and on future generations. Governments commonly issue safe debt and promise safe public pens...

Difference equations are used in order to model the dynamics of populations with non-overlapping generations, since growth such occurs only at discrete points time. In simplest case have form $N_{t+1}= F(N_t)$, where $N_t >0$ is population size a moment time $t$, and $F$ smooth function. Among logistic equation Ricker's most often practice. given paper, these considered width taking into acc...