{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,3]],"date-time":"2026-02-03T18:55:29Z","timestamp":1770144929058,"version":"3.49.0"},"reference-count":39,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T00:00:00Z","timestamp":1751328000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science and Technology Research Project of Henan Province","award":["232102320041"],"award-info":[{"award-number":["232102320041"]}]},{"name":"Science and Technology Research Project of Henan Province","award":["242102320308"],"award-info":[{"award-number":["242102320308"]}]},{"name":"Science and Technology Research Project of Henan Province","award":["252102320128"],"award-info":[{"award-number":["252102320128"]}]},{"name":"Science and Technology Research Project of Henan Province","award":["252400410324"],"award-info":[{"award-number":["252400410324"]}]},{"name":"Soft Science program of Henan province","award":["232102320041"],"award-info":[{"award-number":["232102320041"]}]},{"name":"Soft Science program of Henan province","award":["242102320308"],"award-info":[{"award-number":["242102320308"]}]},{"name":"Soft Science program of Henan province","award":["252102320128"],"award-info":[{"award-number":["252102320128"]}]},{"name":"Soft Science program of Henan province","award":["252400410324"],"award-info":[{"award-number":["252400410324"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Systems"],"abstract":"<jats:p>This study adopts an evolutionary game theory framework and focuses on the strategic interaction between brands and KOLs. It examines how the two parties interact under conditions of uncertainty and risk, especially when the KOLs\u2019 contract fulfillment capability is low, and how they adjust strategies to achieve sustainable collaboration. Different from previous studies, this paper not only examines objective parameters such as commission rate, brand value, return cost, and reputation risk, but also introduces behavioral factors, including risk preference, loss aversion, and the psychological perception of gains and losses. By modeling the decision-making process of KOLs and brands under uncertainty and risk, the key factors affecting the evolution of cooperation strategies are identified. The simulation results show that although the cooperation strategy (such as information disclosure and truthful promotion) can achieve stability under certain conditions, the system is highly sensitive to external factors (such as environmental uncertainty) and internal psychological factors (such as risk preference and loss sensitivity). This study provides practical suggestions for brands and KOLs to promote long-term cooperation, emphasizing the importance of incentive coordination, reputation risk management, commission structure optimization, and psychological perception regulation. These findings provide practical guidance for enhancing the sustainability of brand\u2013KOL collaborations.<\/jats:p>","DOI":"10.3390\/systems13070528","type":"journal-article","created":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T04:04:22Z","timestamp":1751342662000},"page":"528","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Strategic Interaction Between Brands and KOLs in Live-Streaming E-Commerce: An Evolutionary Game Analysis Using Prospect Theory"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-4326-8473","authenticated-orcid":false,"given":"Shizhe","family":"Shao","sequence":"first","affiliation":[{"name":"School of Management Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450046, China"}]},{"given":"Yonggang","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Management Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450046, China"}]},{"given":"Zheng","family":"Li","sequence":"additional","affiliation":[{"name":"School of Management Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450046, China"}]},{"given":"Luxin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Management Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450046, China"}]},{"given":"Xiuping","family":"Shi","sequence":"additional","affiliation":[{"name":"School of Management Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450046, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7742-3445","authenticated-orcid":false,"given":"Hao","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Management Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450046, China"}]},{"given":"Ziyu","family":"Gao","sequence":"additional","affiliation":[{"name":"School of Management Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450046, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"464","DOI":"10.1108\/IMDS-05-2019-0270","article-title":"Content Marketing in E-Commerce Platforms in the Internet Celebrity Economy","volume":"120","author":"Geng","year":"2020","journal-title":"Ind. 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