An Optimal Stopping Problem for Jump Diffusion Logistic Population Model

Abstract EN

This paper examines an optimal stopping problem for the stochastic (Wiener-Poisson) jump diffusion logistic population model.

We present an explicit solution to an optimal stopping problem of the stochastic (Wiener-Poisson) jump diffusion logistic population model by applying the smooth pasting technique (Dayanik and Karatzas, 2003; Dixit, 1993).

We formulate this as an optimal stopping problem of maximizing the expected reward.

We express the critical state of the optimal stopping region and the optimal value function explicitly.