Document Type

Discussion Paper

Publication Date

8-28-2025

CFDP Number

2428R1

CFDP Pages

80

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 in various mechanism design and information design problems, including public good provision with interdependent values; interim efficient bilateral trade mechanisms; asymmetric reduced form auctions; and optimal private private information structure. As another application, we also present a mechanism anti-equivalence theorem for two-agent, two-alternative social choice problems: A mechanism is payoff-equivalent to a deterministic DIC mechanism if and only if they are ex-post equivalent.

Download

Included in

Economics Commons

Share

COinS