Concave Continuation: Linking Routing to Arbitrage

Fuente: arXiv
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Auteurs principaux: Jiang, Ruichao, Wen, Long
Format: Preprint
Publié: 2026
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author Jiang, Ruichao
Wen, Long
author_facet Jiang, Ruichao
Wen, Long
contents We extend AMM trade functions to negative inputs via the \textit{concave continuation}, derived from the invariance of the local conservation law under allocation direction flips. This unifies routing and arbitrage into a single problem. We extend the one-hop transfer algorithm proposed in \cite{jiang} to this setting.
format Preprint
id arxiv_https___arxiv_org_abs_2604_02909
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Concave Continuation: Linking Routing to Arbitrage
Jiang, Ruichao
Wen, Long
Optimization and Control
Trading and Market Microstructure
We extend AMM trade functions to negative inputs via the \textit{concave continuation}, derived from the invariance of the local conservation law under allocation direction flips. This unifies routing and arbitrage into a single problem. We extend the one-hop transfer algorithm proposed in \cite{jiang} to this setting.
title Concave Continuation: Linking Routing to Arbitrage
topic Optimization and Control
Trading and Market Microstructure
url https://arxiv.org/abs/2604.02909