Production technologies in stochastic continuous time models

Discrete Stochastic Models in Continuous Time for Ecology

Discrete stochastic models in continuous time are the simplest way to turn survival analysis of an ecological system into a simulation of that system. They build models most faithful to a picture of individuals making choices which affect each other. This article describes how rules for individual behavior can construct a simulation of a population. It argues that, within the context of discret...

Long Memory in Continuous-time Stochastic Volatility Models

This paper studies a classical extension of the Black and Scholes model for option pricing, often known as the Hull and White model. Our specification is that the volatility process is assumed not only to be stochastic, but also to have long-memory features and properties. We study here the implications of this continuous-time long-memory model, both for the volatility process itself as well as...

Stochastic Processes in Continuous Time

1 Basic Concepts 3 1.1 Notions of equivalence of stochastic processes . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Sample path properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.3 Properties of filtrations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.4 Stopping times . . . . . . . . . . . . . . . . . ....

Stochastic Control in Continuous Time

Continuous-time stochastic games

We study continuous-time stochastic games (with finitely many states and actions), with a focus on the existence of their equilibria that are insensitive to a small imprecision in the specification of players’ evaluations of streams of payoffs. We show that the stationary, namely, time-independent, discounting game has a stationary equilibrium, that the (not necessarily stationary) discounting ...