This paper is intended as a literature retrieval. In the first part we introduce Kelly criterion and show some of its basic properties. Then we define general HARA (Hyperbolic Absolute Risk Aversion) utility function and investment consumption problem. By stochastic optimal control we demonstrate solution to this problem for special class of HARA utility and show basic model with proportional t...

We study a two person bargaining problem in which the buyer may invest and increase his valuation of the object before bargaining. We show that if all offers are made by the seller and the time between offers is small, then the buyer invests efficiently and the seller extracts all of the surplus. Hence, bargaining with frequently repeated offers remedies the hold-up problem even when the agent ...

Evaluating the investment that healthcare organisations make in quality improvement requires knowledge of impact at multiple levels, including patient care, workforce and other organisational resources. The degree to which these resources help organisations to survive and thrive in the challenging contexts in which healthcare is designed and delivered is unknown. Investigating this question fro...

The productive sector of the economy, represented by a single firm employing labour to produce the consumption good, is studied in a stochastic continuous time model on a finite time interval. The firm must choose the optimal level of employment and capital investment in order to maximize its expected total profits. In this stochastic control problem the firm’s capacity is modelled as an Itô pr...

The research at University College London School of Medicine (UCLSM) is supported by the Wellcome Trust, Action Research, the Special Trustees of University College Hospital, and the Muscular Dystrophy Group of Great Britain. The studies have been carried out with the assistance of Dr. P. S. Tofts, Mr. D. Delpy and Mr. A. Chu of the Department of Medical Physics (UCLSM), and Mr. N.Taylor of Kin...