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Circumventing the Computational Hardness of Computational Arbitrage

Summary

The paper formalizes computational arbitrage in AI model marketplaces as an allocation problem and proves it is generally NP-hard, but shows the optimal allocation can be computed efficiently under a natural diminishing-returns condition on model performance versus inference spending. It also introduces a sample-efficient method for estimating model performance and derives several economic insights.

SourcearXiv AIAuthor: Nastaran Okati, Ricardo Olmedo, Moritz Hardt
Circumventing the Computational Hardness of Computational Arbitrage
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[Submitted on 29 Oct 2026]

Title:Circumventing the Computational Hardness of Computational Arbitrage

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Abstract:AI model marketplaces host providers with heterogeneous costs and capabilities. These differences create an opportunity for computational arbitrage (Olmedo et al., 2026), in which an intermediary purchases inference from a portfolio of models and resells it to users at a profit. Beyond creating profit opportunities for the arbitrageur, computational arbitrage offers financial value to both consumers and providers and could therefore significantly influence AI model markets. While prior work empirically demonstrates the feasibility of computational arbitrage for small model pools, scaling it to large marketplaces requires arbitrage strategies that are both computationally tractable and inexpensive to identify and deploy. In this work, we formalize computational arbitrage as an allocation problem and prove that it is generally NP-hard. However, we show that the optimal allocation can be computed efficiently under a natural diminishing-returns condition on how model performance scales with inference spending. We further develop a sample-efficient method for estimating model performance from limited data, reducing the upfront cost of identifying arbitrage strategies. Our analysis also yields several economic insights: at the optimum, every funded model delivers the same marginal utility per dollar; arbitrage directs revenue away from providers offering little utility relative to their prices; and it rewards complementary specialization.

Subjects:

Artificial Intelligence (cs.AI)

Cite as: arXiv:2610.40831 [cs.AI]

(or arXiv:2610.40831v1 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2610.40831

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Nastaran Okati [view email] [v1] Thu, 29 Oct 2026 18:14:06 UTC (392 KB)

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Key points

  • Computational arbitrage is formalized as an allocation problem and shown to be NP-hard in general.
  • The optimal allocation becomes efficiently computable under a diminishing-returns condition on how performance scales with spending.
  • A sample-efficient method estimates model performance from limited data, lowering the upfront cost of finding arbitrage strategies.
  • At the optimum every funded model delivers equal marginal utility per dollar, and arbitrage shifts revenue away from low-value providers.

Highlights and analysis are generated automatically and may contain errors. Check the original source.

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