The impact of innovation on companies' performance: an entropy-based analysis of the STAR market segment of the Italian Stock Exchange

This paper proposes the use of a class of concentration-based entropy measures as a new instrument to quantify business performances through an analysis of growth, profitability and productivity. Such measures are tested against a complex analysis of the link between innovation and performance for firms listed in the STAR market segment of the Italian Stock Exchange. In so doing, two targets are achieved: (1) the identification of parameters that are relevant for explaining the relationship between innovation and performance for the considered sample, with special focus on innovation type, innovation level and business size; (2) the elaboration of a new methodology - based on information theory - for the analysis of the impact of innovation on performance. The study shows that type of innovation and size play a key role in determining company performance.