Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Nov, 2022, Volume 90, Issue 6

The Converse Envelope Theorem
p. 2795-2819

Ludvig Sinander

I prove an envelope theorem with a converse: the envelope formula is equivalent to a first‐order condition. Like Milgrom and Segal's (2002) envelope theorem, my result requires no structure on the choice set. I use the converse envelope theorem to extend to general outcomes and preferences the canonical result in mechanism design that any increasing allocation is implementable, and apply this to selling information.

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Supplemental Material

Supplement to "The Converse Envelope Theorem"

Ludvig Sinander

This online appendix contains material not found within the manuscriptl