{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T02:07:59Z","timestamp":1773886079205,"version":"3.50.1"},"reference-count":58,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100018563","name":"Social Science Planning Project of Shandong Province","doi-asserted-by":"publisher","award":["21CSDJ13"],"award-info":[{"award-number":["21CSDJ13"]}],"id":[{"id":"10.13039\/501100018563","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2026,5]]},"DOI":"10.1016\/j.amc.2025.129878","type":"journal-article","created":{"date-parts":[[2025,12,5]],"date-time":"2025-12-05T15:11:06Z","timestamp":1764947466000},"page":"129878","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Dynamic pricing mechanisms for generative artificial intelligence models across heterogeneous scenarios: An evolutionary game and complex network approach"],"prefix":"10.1016","volume":"516","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7574-9281","authenticated-orcid":false,"given":"Minglong","family":"Han","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0009-0001-3703-1746","authenticated-orcid":false,"given":"Yupeng","family":"Liu","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.amc.2025.129878_bib0041","doi-asserted-by":"crossref","DOI":"10.1016\/j.techsoc.2024.102710","article-title":"Potential application of generative artificial intelligence and machine learning algorithm in oil and gas sector: Benefits and future prospects","volume":"79","author":"Ochieng","year":"2024","journal-title":"Technol. Soc."},{"key":"10.1016\/j.amc.2025.129878_bib0046","doi-asserted-by":"crossref","first-page":"3056","DOI":"10.1109\/OJCOMS.2024.3400161","article-title":"Generative AI for industry 5.0: analyzing the Impact of ChatGPT, DALLE, and other models","volume":"6","author":"Sai","year":"2025","journal-title":"Ieee Open J. Commun. Soc."},{"key":"10.1016\/j.amc.2025.129878_bib0036","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1016\/j.cogr.2023.06.001","article-title":"Generative artificial intelligence in the metaverse era","volume":"3","author":"Lv","year":"2023","journal-title":"Cogn. Robot."},{"issue":"21","key":"10.1016\/j.amc.2025.129878_bib0048","doi-asserted-by":"crossref","first-page":"23661","DOI":"10.1007\/s11042-024-20016-1","article-title":"Generative artificial intelligence: a systematic review and applications","volume":"84","author":"Sengar","year":"2025","journal-title":"Multimed. Tools Appl."},{"key":"10.1016\/j.amc.2025.129878_bib0021","series-title":"International Conference on AI and the Digital Economy (CADE 2025)","article-title":"A comparative review of LLM-based conversational systems: insights from DeepSeek, ChatGPT, Gemini, Claude, and Copilot","author":"Jabbar","year":"2025"},{"issue":"4","key":"10.1016\/j.amc.2025.129878_bib0047","doi-asserted-by":"crossref","first-page":"590","DOI":"10.1002\/rrq.569","article-title":"To become an object among objects: generative artificial \"Intelligence,\" writing, and linguistic white supremacy","volume":"59","author":"Santiago de Roock","year":"2024","journal-title":"Read. Res. Q."},{"issue":"12","key":"10.1016\/j.amc.2025.129878_bib0022","doi-asserted-by":"crossref","first-page":"971","DOI":"10.1016\/j.molmed.2023.08.012","article-title":"Medical education empowered by generative artificial intelligence large language models [Editorial Material]","volume":"29","author":"Jowsey","year":"2023","journal-title":"Trends Mol. Med."},{"key":"10.1016\/j.amc.2025.129878_bib0039","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijmedinf.2024.105474","article-title":"Generative artificial intelligence in healthcare: a scoping review on benefits, challenges and applications","volume":"188","author":"Moulaei","year":"2024","journal-title":"Int. J. Med. Inform."},{"issue":"2","key":"10.1016\/j.amc.2025.129878_bib0005","doi-asserted-by":"crossref","DOI":"10.1145\/3487891","article-title":"Video generative adversarial networks: a review [review]","volume":"55","author":"Aldausari","year":"2023","journal-title":"Acm Comput. Surv."},{"key":"10.1016\/j.amc.2025.129878_bib0017","article-title":"Generative AI models in time-varying biomedical data: scoping review [review]","volume":"27","author":"He","year":"2025","journal-title":"J. Med. Internet Res."},{"key":"10.1016\/j.amc.2025.129878_bib0030","article-title":"Generative artificial intelligence application pricing: navigating upstream strategy, consumer behavior, and market competition","author":"Li","year":"2024","journal-title":"Consum. Behav. Mark. Compet."},{"key":"10.1016\/j.amc.2025.129878_bib0008","series-title":"2024 IEEE 40th International Conference on Data Engineering (ICDE)","article-title":"Share: stackelberg-nash based data markets","author":"Bi","year":"2024"},{"key":"10.1016\/j.amc.2025.129878_bib0031","doi-asserted-by":"crossref","first-page":"15132","DOI":"10.1109\/ACCESS.2018.2806881","article-title":"A survey on big data market: pricing, trading and protection","volume":"6","author":"Liang","year":"2018","journal-title":"IEEE Access"},{"key":"10.1016\/j.amc.2025.129878_bib0038","article-title":"Pricing and Competition for Generative AI","author":"Mahmood","year":"2024","journal-title":"arXiv prepr."},{"key":"10.1016\/j.amc.2025.129878_bib0001","series-title":"Proceedings of the 2019 ACM Conference on Economics and Computation","article-title":"A marketplace for data: an algorithmic solution","author":"Agarwal","year":"2019"},{"issue":"1","key":"10.1016\/j.amc.2025.129878_bib0006","doi-asserted-by":"crossref","DOI":"10.1038\/s41746-024-01306-2","article-title":"Simulated misuse of large language models and clinical credit systems [Review]","volume":"7","author":"Anibal","year":"2024","journal-title":"Npj Digit. Med."},{"issue":"11","key":"10.1016\/j.amc.2025.129878_bib0011","doi-asserted-by":"crossref","DOI":"10.1145\/3672554","article-title":"AI-based affective music generation systems: a review of methods and challenges [review]","volume":"56","author":"Dash","year":"2024","journal-title":"Acm Comput. Surv."},{"key":"10.1016\/j.amc.2025.129878_bib0050","article-title":"Blockchain enabled credible computing resource sharing: a multi-leader multi-follower stackelberg game approach","author":"Wang","year":"2024","journal-title":"IEEE Trans. Veh. Technol."},{"issue":"1","key":"10.1016\/j.amc.2025.129878_bib0015","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1109\/TCC.2021.3117956","article-title":"Evolutionary game based demand response bidding strategy for end-users using Q-learning and compound differential evolution [article]","volume":"10","author":"Han","year":"2022","journal-title":"IEEE Trans. Cloud Comput."},{"issue":"24","key":"10.1016\/j.amc.2025.129878_bib0023","doi-asserted-by":"crossref","first-page":"25780","DOI":"10.1109\/JIOT.2022.3198960","article-title":"Block-CPS: Blockchain and non-cooperative game-based data pricing scheme for car sharing [article]","volume":"9","author":"Kakkar","year":"2022","journal-title":"IEEE Internet Things J."},{"issue":"4","key":"10.1016\/j.amc.2025.129878_bib0024","doi-asserted-by":"crossref","first-page":"6321","DOI":"10.1109\/JSYST.2021.3126620","article-title":"Coalition game and blockchain-based optimal data pricing scheme for ride sharing beyond 5G [Article]","volume":"16","author":"Kakkar","year":"2022","journal-title":"IEEE Syst. J."},{"key":"10.1016\/j.amc.2025.129878_bib0028","doi-asserted-by":"crossref","DOI":"10.1016\/j.jbusres.2023.113858","article-title":"Evolutionary game of platform enterprises, government and consumers in the context of digital economy [Article]","volume":"167","author":"Li","year":"2023","journal-title":"J. Bus. Res."},{"key":"10.1016\/j.amc.2025.129878_bib0056","article-title":"Spatial dynamics and competitive pricing in charging-as-a-service markets: the quest for cleaner urban development [Article]","volume":"14","author":"Zhou","year":"2025","journal-title":"Clean. Logist. Supply Chain"},{"key":"10.1016\/j.amc.2025.129878_bib0052","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2025.116398","article-title":"Reputation in public goods cooperation under double Q-learning protocol","volume":"196","author":"Xie","year":"2025","journal-title":"Chaos Solit. Fractals"},{"key":"10.1016\/j.amc.2025.129878_bib0037","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2024.114471","article-title":"Impact of community networks with higher-order interaction on epidemic dynamics","volume":"180","author":"Ma","year":"2024","journal-title":"Chaos Solit. Fractals"},{"key":"10.1016\/j.amc.2025.129878_bib0002","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2025.116420","article-title":"Epidemic surveillance systems and containment strategies in complex networks","volume":"196","author":"Al-Amery","year":"2025","journal-title":"Chaos Solit. Fractals"},{"key":"10.1016\/j.amc.2025.129878_bib0053","article-title":"Reinforcement learning in evolutionary game theory: a brief review of recent developments","volume":"510","author":"Xie","year":"2026","journal-title":"Appl. Math. Comput."},{"issue":"21","key":"10.1016\/j.amc.2025.129878_bib0009","doi-asserted-by":"crossref","first-page":"34749","DOI":"10.1109\/JIOT.2024.3421918","article-title":"Generative-AI-Driven human digital twin in IoT healthcare: a comprehensive survey","volume":"11","author":"Chen","year":"2024","journal-title":"IEEE Internet Things J."},{"key":"10.1016\/j.amc.2025.129878_bib0035","doi-asserted-by":"crossref","DOI":"10.1136\/bmjebm-2025-113825","article-title":"Reporting guideline for the use of Generative Artificial intelligence tools in MEdical Research: the GAMER Statement [; Early Access]","author":"Luo","year":"2025","journal-title":"Bmj Evid.-Based Med."},{"issue":"1","key":"10.1016\/j.amc.2025.129878_bib0010","doi-asserted-by":"crossref","DOI":"10.1186\/s12929-024-01110-w","article-title":"Unlocking precision medicine: clinical applications of integrating health records, genetics, and immunology through artificial intelligence [Review]","volume":"32","author":"Chen","year":"2025","journal-title":"J. Biomed. Sci."},{"issue":"5","key":"10.1016\/j.amc.2025.129878_bib0019","article-title":"AI-powered integration of multimodal imaging in precision medicine for neuropsychiatric disorders [; Review]","volume":"6","author":"Huang","year":"2025","journal-title":"Cell Rep., Med."},{"key":"10.1016\/j.amc.2025.129878_bib0051","doi-asserted-by":"crossref","DOI":"10.1016\/j.iheduc.2025.100996","article-title":"A systematic literature review on the application of generative artificial intelligence (GAI) in teaching within higher education: Instructional contexts, process, and strategies","volume":"65","author":"Wang","year":"2025","journal-title":"Internet High. Educ."},{"key":"10.1016\/j.amc.2025.129878_bib0057","doi-asserted-by":"crossref","DOI":"10.1007\/s10639-025-13420-z","article-title":"Exploring the impact of generative artificial intelligence on students' learning outcomes: a meta-analysis [; Early Access]","author":"Zhu","year":"2025","journal-title":"Educ. Inf. Technol."},{"issue":"1","key":"10.1016\/j.amc.2025.129878_bib0013","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10956-024-10147-3","article-title":"Perspectives of Generative AI in chemistry education within the TPACK framework","volume":"34","author":"Feldman-Maggor","year":"2025","journal-title":"J. Sci. Educ. Technol."},{"key":"10.1016\/j.amc.2025.129878_bib0026","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1109\/TLT.2025.3537618","article-title":"Transforming education with generative AI (GAI): key insights and future prospects","volume":"18","author":"Lang","year":"2025","journal-title":"IEEE Trans. Learn. Technol."},{"issue":"5","key":"10.1016\/j.amc.2025.129878_bib0040","doi-asserted-by":"crossref","first-page":"847","DOI":"10.1080\/03075079.2024.2323593","article-title":"Human-AI collaboration patterns in AI-assisted academic writing","volume":"49","author":"Nguyen","year":"2024","journal-title":"Stud. High. Educ."},{"key":"10.1016\/j.amc.2025.129878_bib0012","article-title":"Generative AI solutions to empower financial firms [; Early Access]","author":"Dubey","year":"2024","journal-title":"J. Public Policy Mark."},{"issue":"3","key":"10.1016\/j.amc.2025.129878_bib0055","doi-asserted-by":"crossref","first-page":"3457","DOI":"10.1109\/TCSS.2023.3334306","article-title":"New paradigm for economic and financial research with generative AI: impact and perspective","volume":"11","author":"Zheng","year":"2024","journal-title":"IEEE Trans. Comput. Soc. Syst."},{"issue":"3","key":"10.1016\/j.amc.2025.129878_bib0027","doi-asserted-by":"crossref","first-page":"837","DOI":"10.24136\/oc.3183","article-title":"Digital twin-based cyber-physical manufacturing systems, extended reality metaverse enterprise and production management algorithms, and Internet of Things financial and labor market technologies in generative artificial intelligence economics","volume":"15","author":"Lazaroiu","year":"2024","journal-title":"Oecon. Copernic."},{"key":"10.1016\/j.amc.2025.129878_bib0043","article-title":"Supply chain carbon finance indexing with generative AI and advanced data analytics techniques","volume":"502","author":"Patro","year":"2025","journal-title":"J. Clean. Prod."},{"issue":"8","key":"10.1016\/j.amc.2025.129878_bib0029","doi-asserted-by":"crossref","first-page":"6833","DOI":"10.1109\/TCSVT.2023.3319020","article-title":"AGIQA-3K: an open database for AI-generated image quality assessment","volume":"34","author":"Li","year":"2024","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"issue":"1","key":"10.1016\/j.amc.2025.129878_bib0032","doi-asserted-by":"crossref","DOI":"10.4018\/IJSWIS.367444","article-title":"Generative AI in artistic enterprises: a semantic web approach to automated painting creation","volume":"21","author":"Liu","year":"2025","journal-title":"Int. J. Semant. Web Inf. Syst."},{"key":"10.1016\/j.amc.2025.129878_bib0042","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2023.113385","article-title":"Entropy and complexity analysis of AI-generated and human-made paintings","volume":"170","author":"Papia","year":"2023","journal-title":"Chaos Solit. Fractals"},{"issue":"4","key":"10.1016\/j.amc.2025.129878_bib0007","doi-asserted-by":"crossref","DOI":"10.1007\/s10462-024-11089-3","article-title":"Intelligent Cinematography: a review of AI research for cinematographic production","volume":"58","author":"Azzarelli","year":"2025","journal-title":"Artif. Intell. Rev."},{"issue":"4","key":"10.1016\/j.amc.2025.129878_bib0016","doi-asserted-by":"crossref","first-page":"264","DOI":"10.1016\/j.tpb.2012.02.004","article-title":"On equilibrium properties of evolutionary multi-player games with random payoff matrices","volume":"81","author":"Han","year":"2012","journal-title":"Theor. Popul. Biol."},{"key":"10.1016\/j.amc.2025.129878_bib0018","series-title":"Evolutionary Games and Population Dynamics","author":"Hofbauer","year":"1998"},{"issue":"3","key":"10.1016\/j.amc.2025.129878_bib58","doi-asserted-by":"crossref","first-page":"637","DOI":"10.2307\/2938222","article-title":"Evolutionary Games in Economics","volume":"59","author":"Friedman","year":"1991","journal-title":"Econometrica"},{"key":"10.1016\/j.amc.2025.129878_bib0044","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2017.05.004","article-title":"Statistical physics of human cooperation","volume":"687","author":"Perc","year":"2017","journal-title":"Phys. Rep."},{"issue":"2","key":"10.1016\/j.amc.2025.129878_bib0045","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/j.biosystems.2009.10.003","article-title":"Coevolutionary games\u2014a mini review","volume":"99","author":"Perc","year":"2010","journal-title":"BioSystems"},{"issue":"4-6","key":"10.1016\/j.amc.2025.129878_bib0049","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.physrep.2007.04.004","article-title":"Evolutionary games on graphs","volume":"446","author":"Szab\u00f3","year":"2007","journal-title":"Phys. Rep."},{"key":"10.1016\/j.amc.2025.129878_bib0014","series-title":"Currently, Only 8% of Chinese Enterprises Have Deployed Generative Artificial Intelligence in Production Environments","year":"2025"},{"key":"10.1016\/j.amc.2025.129878_bib0020","series-title":"What is the True Cost of Generative Artificial intelligence?","year":"2024"},{"key":"10.1016\/j.amc.2025.129878_bib0034","article-title":"Pricing game and blockchain for electricity data trading in low-carbon smart energy systems","author":"Liu","year":"2024","journal-title":"IEEE Trans. Ind. Inform."},{"key":"10.1016\/j.amc.2025.129878_bib0054","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.cie.2017.08.008","article-title":"Data pricing strategy based on data quality","volume":"112","author":"Yu","year":"2017","journal-title":"Comput. Ind. Eng."},{"key":"10.1016\/j.amc.2025.129878_bib0025","doi-asserted-by":"crossref","DOI":"10.1016\/j.techsoc.2025.102883","article-title":"A study on the impact of entrepreneurial bricolage on enterprise performance management using the BPNN-DEMATEL method and social network analysis [Article]","volume":"82","author":"Kang","year":"2025","journal-title":"Technol. Soc."},{"key":"10.1016\/j.amc.2025.129878_bib0003","article-title":"Trust AI regulation? Discerning users are vital to build trust and effective AI regulation","volume":"508","author":"Alalawi","year":"2026","journal-title":"Appl. Math. Comput."},{"issue":"24","key":"10.1016\/j.amc.2025.129878_bib0004","article-title":"Toward understanding the interplay between public and private healthcare providers and patients: an agent-based simulation approach","volume":"20","author":"Alalawi","year":"2020","journal-title":"Eur. Union Digit. Libr."},{"key":"10.1016\/j.amc.2025.129878_bib0033","doi-asserted-by":"crossref","first-page":"696","DOI":"10.1016\/j.egyr.2021.09.201","article-title":"An evolutionary game approach for private sectors' behavioral strategies in China's green energy public\u2013private partnership projects","volume":"7","author":"Liu","year":"2021","journal-title":"Energy Rep."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300325006034?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300325006034?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T21:04:13Z","timestamp":1773867853000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300325006034"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,5]]},"references-count":58,"alternative-id":["S0096300325006034"],"URL":"https:\/\/doi.org\/10.1016\/j.amc.2025.129878","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2026,5]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Dynamic pricing mechanisms for generative artificial intelligence models across heterogeneous scenarios: An evolutionary game and complex network approach","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics and Computation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.amc.2025.129878","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"129878"}}