Strong Observable Substitutability and the Cumulative Offer Mechanism

[2608.27784] Strong Observable Substitutability and the Cumulative Offer Mechanism Skip to main content Search Submit Donate Log in Economics > Theoretical Economics arXiv:2608.27784 (econ) [Submitted on 27 Aug 2026] Title: Strong Observable Substitutability and the Cumulative Offer Mechanism Authors: Daisuke Hirata , Yusuke Kasuya View PDF HTML (experimental) Abstract: We study the properties of the cumulative offer mechanism (COM) when institutions' choice functions satisfy strong observable substitutability (strong OS). First, we show that each of the following properties of the COM characterizes strong OS: IR monotonicity, weak Maskin monotonicity, and dropping monotonicity. Dropping monotonicity is a new condition weaker than weak Maskin monotonicity, and it is interpretable as a weakening of strategy-proofness and non-bossiness. Second, we show that when choice functions are strongly OS, weak group strategy-proofness of the COM reduces to individual strategy-proofness. However, strong OS is neither necessary nor "almost necessary" for this reduction. Comments: 43 pages, 1 figure, 2 tables Subjects: Theoretical Economics (econ.TH) Cite as: arXiv:2608.27784 [econ.TH] (or arXiv:2608.27784v1 [econ.TH] for this version) https://doi.org/10.48550/arXiv.2608.27784 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Daisuke Hirata [ view email ] [v1] Thu, 27 Aug 2026 23:33:22 UTC (75 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: econ.TH < prev | next > new | recent | 2026-08 Change to browse by: econ References & Citations SciX Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab)

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