"Futures play an integral role in the financial markets. Tens of millions of contracts are traded on futures exchanges around the globe every day. In recent years, futures have been incorporated into a wide array of financial securities and have become the driving force behind their price...

We examine a game of harvesting a renewable common resource and investigate the ramifications of competition. We formulate the problem as an impulse control game between two competing harvesters and devise a new formulation of closed-loop impulse control strategies. In the case of non-zero setup...

We devise a theoretical model for the optimal dynamical control of an infectious disease whose diffusion is described by the SVIR compartmental model. The control is realized through implementing social rules to reduce the disease’s spread, which often implies substantial economic and social...

In this paper we propose an algorithm for the solution of optimalcontrol problems with nonlinear models based on a generalised Gauss-Newton algorithm but making use of analytic model derivatives. Themethod is implemented in WinSolve, a general nonlinear model solution program

We consider the optimal dividend problem in the so-called degenerate bivariate risk model under the assumption that the surplus of one branch may become negative. More specific, we solve the stochastic control problem of maximizing discounted dividends until simultaneous ruin of both branches of...

We study semigroups of convex monotone operators on spaces of continuous functions and their behaviour with respect to Г-convergence. In contrast to the linear theory, the domain of the generator is, in general, not invariant under the semigroup. To overcome this issue, we consider different...

Context. The problem of optimal control of flow parameters of a conveyor-type transport system containing sections with reversible conveyors is considered. The object of the stady was an analytical model of a reversible transport conveyor for synthesizing an algorithm for optimal control of the...

The cryptocurrency marketplace provides liquidity receiving orders from investors. This requires managing the appropriate inventory risk. An optimal liquidation strategy based on stochastic control has been proposed for such inventory risk management problems of FX dealers. However, the...