On linear transformations of intersections

Alexey Kushnir () and Shuo Liu

No 255, ECON - Working Papers from Department of Economics - University of 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.

Keywords: Linear transformation; convex closed set; intersection; directional convexity; mechanism design; dominant-strategy implementation; Bayesian implementation (search for similar items in EconPapers)
JEL-codes: D82 (search for similar items in EconPapers)
Date: 2017-06
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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