Schumpeter´s Gale: Mixing and compartmentalization in Economics and Biology

Friedrich, Thomas and Köpper, Wilhelm (2013): Schumpeter´s Gale: Mixing and compartmentalization in Economics and Biology.

Abstract

Homogenization destroys biologic structures and social organizations or companies. Sometimes structure und sometimes mixing yields the highest productivity. Why and when will destruction be creative? We theoretically demonstrate in a simple enzyme ensemble of source and sink superadditivity and subadditivity by mixing or structured transfer (compartmentalization). Saturating production functions in combination with linear cost functions create besides superadditivity and subadditivity strong rationality and irrationality. Whenever a saturated source gives a costing substrate to an unsaturated sink where the substrate will be earning superadditivity of the ensemble of both will be observed. Such conditions characterize symbiosis and synergism. In antagonistic interactions (antibiosis) an earning substrate is taken from a source to be a costing substrate in a sink. Subadditivity will appear within the ensemble when the substrate will be more costing or less earning after the transfer. Only in superadditivity an active ensemble (with substrate transfer) will have superior productivity in comparison to an inactive ensemble (no transfer of substrate). Mixing is able to destroy irrational transfers reversing the role of source and sink. In life forms the transfer may be accompanied by brute force, a mirror of higher affinity in enzymes. The different outcomes are interrelated regions on a surface within a three dimensional transfer space or ensemble space.

• Item Type: MPRA Paper
• Language: English
• Keywords: ensemble; source; sink, superadditivity; subadditivity; Michaelis-Menten equation; mixing; compartmentalization
• Subjects: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation

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