{"paper_id":"03bee3a1-9ce9-4d88-a999-758fd8a668a8","body_text":"A Machine Learning-Enabled IoT Service Pricing Model Integrating Quality Optimization and Duopoly Cournot Dynamics | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article A Machine Learning-Enabled IoT Service Pricing Model Integrating Quality Optimization and Duopoly Cournot Dynamics Zixiang Yang, Xiufeng Li, Zihui Guan, Lei Li This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7927931/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract The Internet of Things (IoT) services have seen rapid growth in recent years. However, existing research has yet to propose a robust method for quantitatively evaluating IoT services, nor has it adequately addressed the impact of cooperation and competition among IoT service providers on pricing strategies. This paper develops a duopolistic Cournot competition model involving data providers, service providers, and consumers. IoT service providers leverage machine learning to train models that generate user-centric IoT services, which they can then market and monetize for profit. We introduce a Logistic-curved service-quality function, with the amount of data used for machine learning as the primary metric for IoT service quality. The competitive behavior between IoT service providers in a Cournot duopoly market is examined, and we derive the optimal IoT service pricing and data procurement strategies that maximize profits for both parties. Next, we explore the possibility of bundling IoT services at discounted prices, categorizing four distinct scenarios based on the relationship between service quality and pricing. We calculate the pricing of IoT service bundles and determine the optimal data purchase quantities for both providers to maximize their profits. Finally, we incorporate a price-fluctuation factor to account for market uncertainty, refining the profit-function model to better reflect real-world market dynamics. The research can provide decision-making references for IoT service pricing, and the pricing mechanism based on machine learning can effectively mitigate the biases caused by price fluctuations. Pricing IoT Service Duopoly Cournot competition Service bundling Price floating Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {\"props\":{\"pageProps\":{\"initialData\":{\"identity\":\"rs-7927931\",\"acceptedTermsAndConditions\":true,\"allowDirectSubmit\":true,\"archivedVersions\":[],\"articleType\":\"Research Article\",\"associatedPublications\":[],\"authors\":[{\"id\":553858521,\"identity\":\"fcfae40d-68c8-4f58-a710-cd8189f6a0c5\",\"order_by\":0,\"name\":\"Zixiang Yang\",\"email\":\"\",\"orcid\":\"\",\"institution\":\"Tianjin University\",\"correspondingAuthor\":false,\"prefix\":\"\",\"firstName\":\"Zixiang\",\"middleName\":\"\",\"lastName\":\"Yang\",\"suffix\":\"\"},{\"id\":553858522,\"identity\":\"ef8e5eba-ca3f-4481-84b4-2bdf6d7b6048\",\"order_by\":1,\"name\":\"Xiufeng 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Optimization and Duopoly Cournot Dynamics\",\"fulltext\":[],\"fulltextSource\":\"\",\"fullText\":\"\",\"funders\":[],\"hasAdminPriorityOnWorkflow\":false,\"hasManuscriptDocX\":false,\"hasOptedInToPreprint\":true,\"hasPassedJournalQc\":\"\",\"hasAnyPriority\":false,\"hideJournal\":true,\"highlight\":\"\",\"institution\":\"\",\"isAcceptedByJournal\":false,\"isAuthorSuppliedPdf\":true,\"isDeskRejected\":\"\",\"isHiddenFromSearch\":false,\"isInQc\":false,\"isInWorkflow\":false,\"isPdf\":true,\"isPdfUpToDate\":true,\"isWithdrawnOrRetracted\":false,\"journal\":{\"display\":true,\"email\":\"info@researchsquare.com\",\"identity\":\"researchsquare\",\"isNatureJournal\":false,\"hasQc\":true,\"allowDirectSubmit\":true,\"externalIdentity\":\"\",\"sideBox\":\"\",\"snPcode\":\"\",\"submissionUrl\":\"/submission\",\"title\":\"Research Square\",\"twitterHandle\":\"researchsquare\",\"acdcEnabled\":true,\"dfaEnabled\":false,\"editorialSystem\":\"\",\"reportingPortfolio\":\"\",\"inReviewEnabled\":false,\"inReviewRevisionsEnabled\":true},\"keywords\":\"Pricing, IoT Service, Duopoly Cournot competition, Service bundling, Price floating\",\"lastPublishedDoi\":\"10.21203/rs.3.rs-7927931/v1\",\"lastPublishedDoiUrl\":\"https://doi.org/10.21203/rs.3.rs-7927931/v1\",\"license\":{\"name\":\"CC BY 4.0\",\"url\":\"https://creativecommons.org/licenses/by/4.0/\"},\"manuscriptAbstract\":\"\\u003cp\\u003eThe Internet of Things (IoT) services have seen rapid growth in recent years. However, existing research has yet to propose a robust method for quantitatively evaluating IoT services, nor has it adequately addressed the impact of cooperation and competition among IoT service providers on pricing strategies. This paper develops a duopolistic Cournot competition model involving data providers, service providers, and consumers. IoT service providers leverage machine learning to train models that generate user-centric IoT services, which they can then market and monetize for profit. We introduce a Logistic-curved service-quality function, with the amount of data used for machine learning as the primary metric for IoT service quality. The competitive behavior between IoT service providers in a Cournot duopoly market is examined, and we derive the optimal IoT service pricing and data procurement strategies that maximize profits for both parties. Next, we explore the possibility of bundling IoT services at discounted prices, categorizing four distinct scenarios based on the relationship between service quality and pricing. We calculate the pricing of IoT service bundles and determine the optimal data purchase quantities for both providers to maximize their profits. Finally, we incorporate a price-fluctuation factor to account for market uncertainty, refining the profit-function model to better reflect real-world market dynamics. The research can provide decision-making references for IoT service pricing, and the pricing mechanism based on machine learning can effectively mitigate the biases caused by price fluctuations.\\u003c/p\\u003e\",\"manuscriptTitle\":\"A Machine Learning-Enabled IoT Service Pricing Model Integrating Quality Optimization and Duopoly Cournot Dynamics\",\"msid\":\"\",\"msnumber\":\"\",\"nonDraftVersions\":[{\"code\":1,\"date\":\"2025-12-03 23:42:10\",\"doi\":\"10.21203/rs.3.rs-7927931/v1\",\"editorialEvents\":[{\"type\":\"communityComments\",\"content\":0}],\"status\":\"published\",\"journal\":{\"display\":true,\"email\":\"info@researchsquare.com\",\"identity\":\"researchsquare\",\"isNatureJournal\":false,\"hasQc\":true,\"allowDirectSubmit\":true,\"externalIdentity\":\"\",\"sideBox\":\"\",\"snPcode\":\"\",\"submissionUrl\":\"/submission\",\"title\":\"Research Square\",\"twitterHandle\":\"researchsquare\",\"acdcEnabled\":true,\"dfaEnabled\":false,\"editorialSystem\":\"\",\"reportingPortfolio\":\"\",\"inReviewEnabled\":false,\"inReviewRevisionsEnabled\":true}}],\"origin\":\"\",\"ownerIdentity\":\"e33089da-a876-473c-8741-b10f070e9a31\",\"owner\":[],\"postedDate\":\"December 3rd, 2025\",\"published\":true,\"recentEditorialEvents\":[],\"rejectedJournal\":[],\"revision\":\"\",\"amendment\":\"\",\"status\":\"posted\",\"subjectAreas\":[],\"tags\":[],\"updatedAt\":\"2026-05-19T00:53:40+00:00\",\"versionOfRecord\":[],\"versionCreatedAt\":\"2025-12-03 23:42:10\",\"video\":\"\",\"vorDoi\":\"\",\"vorDoiUrl\":\"\",\"workflowStages\":[]},\"version\":\"v1\",\"identity\":\"rs-7927931\",\"journalConfig\":\"researchsquare\"},\"__N_SSP\":true},\"page\":\"/article/[identity]/[[...version]]\",\"query\":{\"redirect\":\"/article/rs-7927931\",\"identity\":\"rs-7927931\",\"version\":[\"v1\"]},\"buildId\":\"8U1c8b4HqxoKbykW_rLl7\",\"isFallback\":false,\"isExperimentalCompile\":false,\"dynamicIds\":[84888],\"gssp\":true,\"scriptLoader\":[]}","source_license":"CC-BY-4.0","license_restricted":false}