Kushnir, Alexey; Liu, Shuo (2017). On linear transformations of intersections. Working paper series / Department of Economics 255, University of Zurich.
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.
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.
| Item Type: | Working Paper |
|---|---|
| Communities & Collections: | 03 Faculty of Economics > Department of Economics
Working Paper Series > Department of Economics |
| Dewey Decimal Classification: | 330 Economics |
| JEL Classification: | D82 |
| Uncontrolled Keywords: | Linear transformation, convex closed set, intersection, directional convexity, mechanism design, dominant-strategy implementation, Bayesian implementation |
| Language: | English |
| Date: | June 2017 |
| Deposited On: | 06 Jun 2017 15:16 |
| Last Modified: | 30 Jan 2020 07:55 |
| Series Name: | Working paper series / Department of Economics |
| Number of Pages: | 17 |
| ISSN: | 1664-7041 |
| OA Status: | Green |
| Official URL: | http://www.econ.uzh.ch/static/wp/econwp255.pdf |
| Related URLs: | http://www.econ.uzh.ch/static/workingpapers.php |
Kushnir, Alexey