{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,29]],"date-time":"2026-05-29T13:42:35Z","timestamp":1780062155561,"version":"3.54.0"},"reference-count":28,"publisher":"PeerJ","license":[{"start":{"date-parts":[[2024,6,26]],"date-time":"2024-06-26T00:00:00Z","timestamp":1719360000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Universities Key Laboratory of System Modeling and Data Mining in Guizhou Province","award":["2023013"],"award-info":[{"award-number":["2023013"]}]},{"name":"Scientific Research Projects for the Introduced Talents of Guizhou University","award":["N0. [2021]90"],"award-info":[{"award-number":["N0. [2021]90"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>To start with an infinitely repeated game of supply chains of public goods, a stout reciprocity mechanism is introduced into income games to build a matric dynamic equation. The conventional evolutionary game method is employed to propose a model called the evolutionary game for the cooperative strategy of both the manufacturer and the seller groups in the supply chain of public goods. Also, white Gaussian noise (WGN) is added to reflect random interference in the evolution process. Then, a stochastic dynamic system is established, and Ito\u2019s differential equation is used to analyze both sides\u2019 strategy evolution in a game, interpret changes in system stability when random disturbance is added, and finally test the influence of different situations on the system stability by running a numerical simulation. The research shows that the stronger the reciprocity coefficient is, and the system is subjected to random interference, the greater the strategy choice change in players\u2019 decision-making procedures when the repeated game of public goods is conducted.<\/jats:p>","DOI":"10.7717\/peerj-cs.2118","type":"journal-article","created":{"date-parts":[[2024,6,26]],"date-time":"2024-06-26T07:55:18Z","timestamp":1719388518000},"page":"e2118","source":"Crossref","is-referenced-by-count":2,"title":["Analyzing reciprocity dynamics in supply chains of public goods: a stochastic evolutionary game approach"],"prefix":"10.7717","volume":"10","author":[{"given":"Simo","family":"Sun","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Man","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Management Science, Guizhou University of Finance and Economics, Guiyang, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yi","family":"Lei","sequence":"additional","affiliation":[{"name":"Guizhou Leading Network Technology Services Co. 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