We analyze the optimal design of a markdown pricing mechanism with pre-announced prices. In the presence of limited supply, buyers who choose to purchase at a lower price may face a scarcity in supply. Our focus is on the structure of the optimal markdown mechanisms in the presence of rational or “strategic” buyers who demand multiple units. We first examine a complete information setting where...

This paper analyzes socially optimal forest taxation when the government has a binding tax revenue requirement. In the Faustmann model the optimal design of forest taxation consists of non-distortionary taxes, such as site productivity tax, site value tax or profit tax. A combination of distortionary unit (or yield) tax and timber tax can also be used to collect the tax revenue in a non-distort...

Continuity properties of the optimal design of robust stabilization in the gap metric are investigated. In general the optimal design in the gap metric lacks continuity properties required for certain H” adaptation schemes for slowly varying systems. On the other hand, the S-suboptimal central design is shown to be Lipschitz continuous. Applications of the continuity properties and frozen-time ...

When considering optimal design problems involving diffraction gratings, it is useful to have some a priori characterization of the range of possible reflectances one can achieve for given material parameters. We consider here the limiting case of a rapidly oscillating dielectric grating and show that such gratings can have reflectance no greater than that of a flat interface, regardless of the...

In this study, the ashes of poplar tree leaves are applied as an efficient, accessible and inexpensive biosorbent for the removal of heavy metals Pb2+ and Cu+2 in aqueous solutions. In the adsorption processes, the success of the ions removal highly depends on the level of several experimental factors such as pH, contact time, adsorbent dosage and temperature. Therefore, a genuine statistical e...

A solution to get the problem off, have you found it? Really? What kind of solution do you resolve the problem? From what sources? Well, there are so many questions that we utter every day. No matter how you will get the solution, it will mean better. You can take the reference from some books. And the the optimal design of blocked and split plot experiments 1st edition is one book that we real...

(2) min {F(u,E) : u = u0 on ∂Ω, |E| = d} , where u0 ∈W (Ω) is a given boundary datum and 0 < d < |Ω| is prescribed. Energies with surface terms competing with a volume term often appear in materials science as a model for optimal design [1], phase transiction [5], liquid crystals [6] or continuum mechanics [4]. A similar functional was studied by L.Ambrosio and G.Buttazzo in [1] where they cons...