Optimal free export/import regions

Abstract

We consider the problem of finding two free export/import sets E + and E − that minimize the total cost of some export/import transportation problem (with export/import taxes g ±), between two densities f + and f − , plus penalization terms on E + and E −. First, we prove existence of such optimal sets under some assumptions on f ± and g ±. Then, we study some properties of these sets such as convexity and regularity. In particular, we show that the optimal free export (resp. import) region E + (resp. E −) has boundary of class C 2 as soon as f + (resp. f −) is continuous and ∂E + (resp. ∂E −) is C 2,1 provided that f + (resp. f −) is Lipschitz. This is a ``preproof'' accepted article for Canadian Mathematical Bulletin This version may be subject to change during the production process.

A Dynamic Analysis of Oil Prices and Inflation Model and Method

“…As it is perceived to be inferior to monetary policy strictly linked to core inflation. Furthermore, the growth in GDP should be monitored as the increase in AD and AS deem to contribute to a rise in price as shown in the previous studies [20], [27] which show that the effect of oil prices is more on demand driven as compared to the effect on the supply side.…”