Carathéodory-type selection and random fixed point theorems for discontinuous correspondences
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918130859638784 |
|---|---|
| author | Bhowmik, Anuj Yannelis, Nicholas C. |
| author_facet | Bhowmik, Anuj Yannelis, Nicholas C. |
| contents | Research in Economics and Game theory has necessitated results on Carathéodory-type selections. In particular, one has to obtain Carathéodory type-selections from correspondences that need not be continuous (neither lower-semicontinuous nor upper-semicontinuous). We provide new theorems on Carathéodory type-selections that include as corollaries the results in Kim-Prikry-Yannelis \cite{KPY:87}. We also, obtain new random fixed-point theorems, random maximal elements, random (Nash) equilibrium and Bayesian equilibrium extending and generalizing theorems of Browder \cite{Browder:68}, Fan \cite{Fan:52} and Nash \cite{Nash}, among others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18997 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Carathéodory-type selection and random fixed point theorems for discontinuous correspondences Bhowmik, Anuj Yannelis, Nicholas C. General Topology Probability Research in Economics and Game theory has necessitated results on Carathéodory-type selections. In particular, one has to obtain Carathéodory type-selections from correspondences that need not be continuous (neither lower-semicontinuous nor upper-semicontinuous). We provide new theorems on Carathéodory type-selections that include as corollaries the results in Kim-Prikry-Yannelis \cite{KPY:87}. We also, obtain new random fixed-point theorems, random maximal elements, random (Nash) equilibrium and Bayesian equilibrium extending and generalizing theorems of Browder \cite{Browder:68}, Fan \cite{Fan:52} and Nash \cite{Nash}, among others. |
| title | Carathéodory-type selection and random fixed point theorems for discontinuous correspondences |
| topic | General Topology Probability |
| url | https://arxiv.org/abs/2508.18997 |