Template-Type: ReDIF-Paper 1.0 
Title: Local versions of Tarski’s theorem for correspondences
Author-Name: Łukasz Balbus 
Author-Name: Wojciech Olszewski 
Author-Name: Kevin Reffett 
Author-Name: Łukasz Woźny 
Abstract: For a strong set order increasing (resp., strongly monotone) upper order hemicontinuous correspondence mapping a complete lattice A into itself (resp., a sigma-complete lattice into itself), we provide conditions for tight fixed-point bounds for sufficiently large iterations starting from any initial point in A. Our results prove a local version of the Veinott-Zhou generalization of Tarski’s theorem, as well as provide a new global version of the Tarski-Kantorovich principle for correspondences.
Number: 2023-085
Length: 21 pages 
Creation-Date: 2023-03
Keywords: monotone iterations on correspondences, Tarski’s fixed-point theorem, Veinott-Zhou version of Tarski’s theorem for correspondences, Tarski-Kantorovich principle for correspondences, adaptive learning
Classification-JEL: C62, C65, C7
File-URL: https://hdl.handle.net/20.500.12182/1144
File-Format: Application/pdf
DOI: 10.33119/kaewps2023085
Handle: RePEc:sgh:kaewps:2023085