Local versions of Tarski's theorem for correspondences

Łukasz Balbus, Wojciech Olszewski, Kevin Reffett and Łukasz Woźny

No 2023-085, KAE Working Papers from Warsaw School of Economics, Collegium of Economic Analysis

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.

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 (search for similar items in EconPapers)
JEL-codes: C62 C65 C7 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2023-03
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Persistent link: https://EconPapers.repec.org/RePEc:sgh:kaewps:2023085

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