Control of Intent Routing in Agentic Commerce

Agentic-commerce discussions increasingly contrast open networks of specialized execution agents with vertically integrated or exclusive platform ecosystems. This paper studies that contrast as an industrial-organization problem. It models an upstream assistant platform that captures a stream of user intents and chooses among three routing regimes: an open order-flow auction (OFA), an exclusive bundle contract, or, when the platform has in-house execution capacity, a Mixed regime that integrates the top quantile of intents and routes the residual flow to OFA. The paper’s main positive contribution is a Levin-Smith cream-skimming theorem. Under the residual period-cost convention and explicit sufficient conditions on solver cost dispersion, residual entry, and contractor productivity, the Mixed regime strictly dominates the open, exclusive, and random-selection integration benchmarks on a non-empty open set of primitives. A setup lemma and one supporting theorem frame the comparison. Lemma 1A gives a standard endogenous-entry bound for no-reserve OFA revenue. Theorem 2A gives a high-entry exclusivity-dominance result under Levin-Smith mixed-strategy entry: exclusivity strictly dominates open routing whenever exclusive bundle revenue exceeds expected open-routing revenue. The pure-entry rule recovers the discrete e > pi(2) collapse threshold as a corollary. Numerical calibration to payment for order flow and MEV/OFA on Ethereum finds entry-cost-to-margin ratios far below the model’s dominance thresholds. The theorems are therefore pressure tests of routing control rather than predictions about those specific markets. A screening calculation for regulated fiat-payment routing gives a plausible entry-cost-to-margin band of e/pi(2) = O(1)–O(10) when platform-specific compliance and liability costs bind, but this remains a threshold sketch rather than a measured empirical validation.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-27
DOI
https://doi.org/10.5281/zenodo.20406020
Primary Topic
Auction Theory and Applications
Type
preprint
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preprint

Control of Intent Routing in Agentic Commerce

Fernando Paredes Garcia
Zenodo (CERN European Organization for Nuclear Research)
Auction Theory and Applications
preprint

Control of Intent Routing in Agentic Commerce

Fernando Paredes Garcia
preprint en

Abstract

Agentic-commerce discussions increasingly contrast open networks of specialized execution agents with vertically integrated or exclusive platform ecosystems. This paper studies that contrast as an industrial-organization problem. It models an upstream assistant platform that captures a stream of user intents and chooses among three routing regimes: an open order-flow auction (OFA), an exclusive bundle contract, or, when the platform has in-house execution capacity, a Mixed regime that integrates the top quantile of intents and routes the residual flow to OFA. The paper’s main positive contribution is a Levin-Smith cream-skimming theorem. Under the residual period-cost convention and explicit sufficient conditions on solver cost dispersion, residual entry, and contractor productivity, the Mixed regime strictly dominates the open, exclusive, and random-selection integration benchmarks on a non-empty open set of primitives. A setup lemma and one supporting theorem frame the comparison. Lemma 1A gives a standard endogenous-entry bound for no-reserve OFA revenue. Theorem 2A gives a high-entry exclusivity-dominance result under Levin-Smith mixed-strategy entry: exclusivity strictly dominates open routing whenever exclusive bundle revenue exceeds expected open-routing revenue. The pure-entry rule recovers the discrete e > pi(2) collapse threshold as a corollary. Numerical calibration to payment for order flow and MEV/OFA on Ethereum finds entry-cost-to-margin ratios far below the model’s dominance thresholds. The theorems are therefore pressure tests of routing control rather than predictions about those specific markets. A screening calculation for regulated fiat-payment routing gives a plausible entry-cost-to-margin band of e/pi(2) = O(1)–O(10) when platform-specific compliance and liability costs bind, but this remains a threshold sketch rather than a measured empirical validation.

Zenodo (CERN European Organization for Nuclear Research)
Auction Theory and Applications
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