The economic concept of competitiveness describes a market's absolute efficiency. It is a measure of the extent to which a market exhibits "perfect competition."
The business concept of competitiveness describes the performance of a firm in comparison to its competitors (e.g. Google is considered competitive in the search engine sector). In this definition, competitiveness is a relative measure and implies a zero-sum game. If one element succeeds, another must be toppled from its perch.