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http://en.wikipedia.org/wiki/Pareto_distribution

Economist Vilfredo Pareto in about 1906 developed the Pareto principle [80-20] later expanded to Pareto distribution, a probability density function.

Mathematician John Nash developed Noncooperative Game Theory [NCGT] with Equilibria using Pareto optimality as one of four criteria. NCGT is employed in economics, engineering, biology and social sciences.

Imagine my surprise when I read “... as k -> oo the distribution approaches ... the Dirac delta function”.

There is a demonstration graph for k=1,2,3,oo.

The Dirac delta is related to the Kronecker delta.

This may usher in an era of economical physics that may not only lead to GUT / TOE, but unification of various Nobel Prize categories?

Statistical economics, statistical physics [mechanics], statistical GUT / TOE could become a dynamic mathematical field of study?

See AMS 2000 Mathematics Subject Classification, 37-xx Dynamical systems and ergodic theory and related topics.

http://www.ams.org/msc/