Multidimensional Monotonicity and Economic Applications
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915467125325824 |
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| author | Yang, Frank Yang, Kai Hao |
| author_facet | Yang, Frank Yang, Kai Hao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18876 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multidimensional Monotonicity and Economic Applications Yang, Frank Yang, Kai Hao Theoretical Economics 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. |
| title | Multidimensional Monotonicity and Economic Applications |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2502.18876 |