A Tarski–Kantorovich theorem for correspondences

B-Tier
Journal: Journal of Mathematical Economics
Year: 2025
Volume: 118
Issue: C

Authors (4)

Balbus, Łukasz (not in RePEc) Olszewski, Wojciech (not in RePEc) Reffett, Kevin (not in RePEc) Woźny, Łukasz (Szkoła Główna Handlowa w Warsz...)

Score contribution per author:

0.503 = (α=2.01 / 4 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

For a weakly monotone (resp., strongly monotone) upper order hemicontinuous correspondence F:A⇉A, where A is a complete lattice (resp., a σ-complete lattice), we provide tight fixed-point bounds for sufficiently large iterations Fk(a0), starting from any point a0∈A. Our results, hence, prove a generalization of the Tarski–Kantorovich theorem. We provide an application of our results to a class of social learning models on networks.

Technical Details

RePEc Handle
repec:eee:mateco:v:118:y:2025:i:c:s0304406825000230
Journal Field
Theory
Author Count
4
Added to Database
2026-01-29