We consider an agent who invests in a stock and a money market in order to maximize the asymptotic behaviour of expected utility of the portfolio market price in the presence of proportional transaction costs. The assumption that the portfolio market price is a geometric Brownian motion and the...

In this paper we analyse the effects arising from imposing a Value-at-Risk constraint in an agent's portfolio selection problem. The financial market is incomplete and consists of multiple risky assets (stocks) plus a risk-free asset. The stocks are modelled as exponential Brownian motions with...

We study appointment scheduling problems in continuous time. A finite number of clients are scheduled such that a function of the waiting time of clients, the idle time of the server, and the lateness of the schedule is minimized. The optimal schedule is notoriously hard to derive within...

In service systems, in order to balance the server’s idle times and the customers’ waiting times, one may fix the arrival times of the customers beforehand in an appointment schedule. We propose a procedure for determining appointment schedules in such a D/G/1-type of system by sequentially...

Portfolio turnpikes state that as the investment horizon increases, optimal portfolios for generic utilities converge to those of isoelastic utilities. This paper proves three kinds of turnpikes. In a general semimartingale setting, the abstract turnpike states that optimal final payoffs and...

Noncompensatory decision making forms a core part of poliheuristic theory. At the same time, decision making under constraints is a common view among expected utility theorists. It is argued that poliheuristic theory permits one to endogenize constraints. Views about the rules ofwar are used to...

The famous Afriat’s theorem from the theory of revealed preferences establishes necessary and sufficient conditions for the existence of utility function for a given set of choices and prices. The result on the existence of a homogeneous utility function can be considered as a particular fact...

In the paper a method is found for estimating approximate optimum points on efficient portfolios curve (risk-profit) that are connected with exponential utility functions being very frequently preferred in practice by investors.

Buyers requiring large parcels of land for development purposes engage several owners in a bilateral trade seeking monetary payment in exchange for land – a business transaction most often referred to in the literature as the problem of land assembly. To avoid the holdout problem which is a...