From the 1 of 3 linked papers with an AI index.
3 papers
math.FA2026
Banach-valued graph limits: Graphon representability and Banach-space structure
Motoki Otsuka
The paper investigates when limits of sequences of Banach‑decorated graphs can be represented by Banach‑valued graphons, linking this graph‑limit problem to structural properties o…
math.PR2025
Regularity properties of distributions of correspondences without countable generation: applications to large games
Motoki Otsuka
We show that each of the regularity properties of regular conditional distributions of correspondences (convexity, closedness, compactness, and preservation of closed graphs) is eq…
econ.TH2025
Graphon games and an idealized limit of large network games
Motoki Otsuka
Graphon games are a class of games with a continuum of agents, introduced to approximate the strategic interactions in large network games. The first result of this study is an equ…