[2008.04401] Connected Incomplete Preferences Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Economics > Theoretical Economics arXiv:2008.04401 (econ) [Submitted on 10 Aug 2020 ( v1 ), last revised 29 Apr 2026 (this version, v3)] Title: Connected Incomplete Preferences Authors: Leandro Gorno , Alessandro Rivello View a PDF of the paper titled Connected Incomplete Preferences, by Leandro Gorno and 1 other authors View PDF HTML (experimental) Abstract: This paper explores a new class of incomplete preferences -- termed ``connected preferences'' -- in which maximal domains of comparability are topologically connected. We provide necessary and sufficient conditions for continuous preferences to be connected. We also characterize their maximal domains of comparability. Our results extend classical findings in decision theory by linking topological properties of the choice space with the structure of preferences, offering a novel perspective on incompleteness in economic models. Subjects: Theoretical Economics (econ.TH) Cite as: arXiv:2008.04401 [econ.TH] (or arXiv:2008.04401v3 [econ.TH] for this version) https://doi.org/10.48550/arXiv.2008.04401 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1016/j.jmateco.2026.103253 Focus to learn more DOI(s) linking to related resources Submission history From: Leandro Gorno [ view email ] [v1] Mon, 10 Aug 2020 20:16:51 UTC (8 KB) [v2] Tue, 12 Aug 2025 14:36:42 UTC (47 KB) [v3] Wed, 29 Apr 2026 21:38:53 UTC (53 KB) Full-text links: Access Paper: View a PDF of the paper titled Connected Incomplete Preferences, by Leandro Gorno and 1 other authors View PDF HTML (experimental) TeX Source view license Current browse context: econ.TH < prev | next > new | recent | 2020-08 Change to browse by: econ References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: 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) Major funding support from