English

A Direct Method for Solving Optimal Switching Problems of One-Dimensional Diffusions

Optimization and Control 2007-05-23 v1

Abstract

In this paper, we propose a direct solution method for optimal switching problems of one-dimensional diffusions. This method is free from conjectures about the form of the value function and switching strategies, or does not require the proof of optimality through quasi-variational inequalities. The direct method uses a general theory of optimal stopping problems for one-dimensional diffusions and characterizes the value function as sets of the smallest linear majorants in their respective transformed spaces.

Keywords

Cite

@article{arxiv.0704.0991,
  title  = {A Direct Method for Solving Optimal Switching Problems of One-Dimensional Diffusions},
  author = {Masahiko Egami},
  journal= {arXiv preprint arXiv:0704.0991},
  year   = {2007}
}