Ukrainian mathematical congress - 2009

Beata Falda (Catholic University of Lublin, Poland)

Resources and resource flows - mathematical definition of notions

Resources and resource flows are expressions used frequently to describe > economics phenomena. In this presentation we > present very strict definitions of these expressions, usually considered > primarily by applying terminology and tools of topology, measure theory and dynamical systems. The natural association between resources and resource streams, upon time, creates the basis for a dynamic economics system -- DES. This system will be defined and its basic properties be presented. To complete our construction we will equip this system with a group of basic operations, a family of measures called preference system and time-deformation functions, taking it into dynamics in the form of a dual dynamical economic system -- DES*. It leads directly to a definition of the economics values of resources and resource streams. The economics value can easily be adapted to different ideas connected with this notion.