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...

Among all types of electrical motors, permanent magnet synchronous motors (PMSMs) are reliable and efficient motors in industrial applications. Because of their superiority over other kinds of motors, they are replacing conventional electric motors. On the other hand, high-phase PMSMs are good candidates to be used in certain industrial and military projects such as electric vehicles, spacecraf...

Adaptive observers used in sensorless control of induction motors suffer from instability especally in regenerating mode. In this paper, an optimal feed back gain design is proposed, it can reduce the instability region in the torque speed plane . Keywords—Induction motor drive, adaptive observer, regenerating mode, stabilizing design.