Principle of least effort vs. maximum efficiency: derivingZipf-Pareto’s laws
Résumé
This work provides a mathematical tool to derive Zipf-Pareto laws directly from the idea that living systems always follow the rule of least effort in their activities. In order to implement this idea in a general way taking into account the output of the effort as well, we introduce a functional of efficiency instead of effort. This efficiency is maximized simultaneously with the maximum of the total output of an ensemble of large number of agents all working for that output. The Zipf's and Pareto's laws naturally come out from this calculus of variation.
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