Continuous accumulation games in continuous regions

In a continuous accumulation game on a continuous region, a Hider distribut es material over a continuous region at each instant of discrete time, and a Seeker examines the region. If the Seeker locates any of the material hid den, the Seeker confiscates it. The goal of the Hider is to accumulate a ce rtain amount of material before a given time, and the goal of the Seeker is to prevent this. In previous works, we have studied accumulation games inv olving discrete objects and continuous material over discrete locations. Th e issues raised when the region is continuous are substantially different. In this paper, we study accumulation of continuous material over two types of continuous regions: the interval and the circle.