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Analyze random-order arrivals in the online matching formulation

Investigate the job-arrival random order model, where jobs arrive in a uniformly random permutation, for the online bipartite matching formulation of the decentralized compute market and determine its implications for matching performance and feasibility compared to the adversarial arrival model adopted in the paper.

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Background

The paper models allocation as online bipartite matching and, for analysis, adopts an adversarial arrival model for jobs. A random-order model (uniformly random permutation of job arrivals) is a standard alternative in the online matching literature and may yield different performance guarantees and algorithmic behavior.

The authors explicitly defer analysis of the random-order model, marking it as an open question to be addressed in future work.

References

For the rest of the section, we stick to the adversarial arrival model and we leave the random order model as an open question for future work.

— Automated Market Making for Goods with Perishable Utility (2511.16357 - Zang et al., 20 Nov 2025) in Section 6, Welfare and Optimal Matching Design (arrival models)