Document Type
Discussion Paper
Publication Date
3-1-2015
CFDP Number
1993R2
CFDP Revision Date
2018-03-01
CFDP Pages
68
Abstract
Conjugate duality relationships are pervasive in matching and implementation problems and provide much of the structure essential for characterizing stable matches and implementable allocations in models with quasilinear (or transferable) utility. In the absence of quasilinearity, a more abstract duality relationship, known as a Galois connection, takes the role of (generalized) conjugate duality. While weaker, this duality relationship still induces substantial structure. We show that this structure can be used to extend existing results for, and gain new insights into, adverse-selection principal-agent problems and two-sided matching problems without quasilinearity.
Recommended Citation
Nöldeke, Georg and Samuelson, Larry, "The Implementation Duality" (2015). Cowles Foundation Discussion Papers. 2424.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/2424