Technical progress: an approach from Lie Transformation Group Theory
DOI:
https://doi.org/10.46661/revmetodoscuanteconempresa.2051Keywords:
Cambio técnico, progreso técnico tipo Lie, holoteticidad, technical change, Lie type of technical progress, holotheticityAbstract
In this paper we explain some tools of Differential Geometry. In detail we deal with Lie Theory, which is currently being investigated in Economics. Firstly we indicate the conditions demanded to production functions in such studies, and the definition of a particular type of technical progress: the Lie type. For this type, the three properties of Lie groups have to be verified by the technical progress. We also show the use of Lie operator for economical interpretations, and for quantifying the impact of the technical progress. This operator allows us to answer Solow-Stigler Controversy. Finally we introduce some applications of Lie Theory in Economics, and suggest new future research lines they can generate. In this way, our main aim is to show the actual and future applications of Lie Theory in Economics.Downloads
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