On linear transformations of intersections

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.

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Year of publication:	2017
Authors:	Kushnir, Alexey ; Liu, Shuo
Publisher:	Zurich : University of Zurich, Department of Economics
Subject:	Linear transformation \| convex closed set \| intersection \| directional convexity \| mechanism design \| dominant-strategy implementation \| Bayesian implementation

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Series:	Working Paper ; 255
Type of publication:	Book / Working Paper
Type of publication (narrower categories):	Working Paper
Language:	English
Other identifiers:	10.5167/uzh-137636 [DOI] 898690684 [GVK] hdl:10419/173415 [Handle] RePEc:zur:econwp:255 [RePEc]
Classification:	D82 - Asymmetric and Private Information
Source:	EconStor

Persistent link: https://www.econbiz.de/10011784291