Saturday, April 13, 2013

On Economic Phenomenologies (memorandum)

NOTICE
  • Related investigations on the line of Pareto and Mandelbrot are not treated
  • DO NOT TRUST THE FOLLOWING
Examples
  • Irving Fisher(1907) stated that nominal interest rate is approximated with sum of real interest rate and inflation rate
  • When bookkeeping, we always sort incomes and expenses then add them up without worrying about non-extensiveness of value in money
  • Also we compare profit of this quarter with previous quarter without worring about non-extensiveness of months in calender
  • A phenomenological production function presented in Cobb-Douglas(1928) fitted well to actual statistics over 1899-1922 with correction coefficient 1.01: 1st degree homogeneity of production function requires constant return to scale
  • (added) I'm still not sure but duality between price and quantity follows from usual convexity requirement of economic optimization (KKT condition)
TODO
  • rewrite all above more formally

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