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Existence in Multidimensional Screening with General Nonlinear Preferences

Kelvin Shuangjian Zhang

arXiv 23 Oct 2017 · Econometrics · publishedEconomic Theory (2019) · 1 citations (OpenAlex)

arXiv:1710.08549 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We generalize the approach of Carlier (2001) and provide an existence proof for the multidimensional screening problem with general nonlinear preferences. We first formulate the principal's problem as a maximization problem with $G$-convexity constraints and then use $G$-convex analysis to prove existence.

Citation extraction

32
references
66
in-text mentions
31
distinct cited
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self-citations
11,742
main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
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5N. S. Trudinger, On the local theory of prescribed Jacobian equation… (2014) 1663-16810.73732100%
6J.-C. Rochet, P. Choné, Ironing sweeping and multidimensional screen… (1998) 783–8260.64441100%
7S. Basov, Multidimensional screening, Springer-Verlag, Berlin (2005)0.58531100%
8P.K. Monteiro, F.H. Page Jr., Optimal selling mechanisms for multipr… (1998) 473–5020.58531100%
9M. Mussa, S. Rosen, Monopoly product and quality, J. Econom. Theory 18 (1978) 301–3170.58531100%
10E.J. Balder, An extension of duality-stability relations to non-conv… (1977) 329-3430.51121100%

Showing the top 10 of 31 scored citations.