We derive a formula for the minimal initial wealth needed to hedge an arbitrary contingent claim in a continuous-time model with proportional transaction costs; the expression obtained can be interpreted as the supremum of expected discounted values of the claim, over all (pairs of) probability measures under which the “wealth process” is a supermartingale. Next, we prove the existence of an op...

Our paper presents an agent-based simulation environment for task scheduling in a distributed computer systems (grid). The scheduler enables the simultaneous allocation of resources like CPU time, communication bandwidth, volatile and non-volatile memory while employing a combinatorial resource allocation mechanism. The resource allocation is performed by an iterative combinatorial auction in w...