Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/173415 
Year of Publication: 
2017
Series/Report no.: 
Working Paper No. 255
Publisher: 
University of Zurich, Department of Economics, Zurich
Abstract: 
For any linear transformation and two convex closed sets, we provide necessary and sufficient conditions for when the transformation of the intersection of the sets coincides with the intersection of their images. We also identify analogous conditions for non-convex sets, general transformations, and multiple sets. We demonstrate the usefulness of our results via an application to the economics literature of mechanism design.
Subjects: 
Linear transformation
convex closed set
intersection
directional convexity
mechanism design
dominant-strategy implementation
Bayesian implementation
JEL: 
D82
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

Files in This Item:
File
Size
369.08 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.