Multidimensional Monotonicity and Economic Applications

Frank Yang and Kai Hao Yang
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Frank Yang: Harvard University
Kai Hao Yang: Yale University

No 2428R1, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: We characterize the extreme points of multidimensional monotone functions from $[0,1]^n$ to $[0,1]$, as well as the extreme points of the set of one-dimensional marginals of these functions. These characterizations lead to new results for various mechanism design and information design problems, including public good provision with interdependent values; interim efficient bilateral trade mechanisms; mechanism (anti) equivalence; asymmetric reduced form auctions; and optimal private private information structure.

Pages: 80 pages
Date: 2025-08-28
New Economics Papers: this item is included in nep-des and nep-mic
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