{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,19]],"date-time":"2026-01-19T15:31:02Z","timestamp":1768836662935,"version":"3.49.0"},"reference-count":30,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"name":"The research was supported by the National Natural Science Foundation of China","award":["71571131"],"award-info":[{"award-number":["71571131"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2019,5]]},"abstract":"<jats:p> In this paper, we establish a cold chain dynamic game model including a milk manufacturer and two downstream oligopoly supermarkets under the wholesale price contract in the real world. The manufacturer is responsible for the production and cold transportation, and the two retailers sell the product. The Nash equilibrium points and the complexity of the system are discussed. The influence of the decision parameters and the stability of the system are studied by using complexity theory. We reveal the stable regions for the dynamic system. In addition, revenue sharing contract and profit sharing contract are two valuable contracts. In order to see how the two contracts would impact on the system\u2019s equilibrium solution and the profits, we establish and analyze two new dynamic models for the cold chain. By the comparison of the analyses under three contracts, we find that the manufacturer\u2019s effort of cold transportation will change under different contracts, and the profit distribution of the whole cold chain will be affected. Chaos control is also studied by the method of delay feedback control, in order to provide some management advice. <\/jats:p>","DOI":"10.1142\/s0218127419500585","type":"journal-article","created":{"date-parts":[[2019,6,3]],"date-time":"2019-06-03T23:42:25Z","timestamp":1559605345000},"page":"1950058","source":"Crossref","is-referenced-by-count":12,"title":["Impact Research on a Nonlinear Cold Chain Evolutionary Game Under Three Various Contracts"],"prefix":"10.1142","volume":"29","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0827-5143","authenticated-orcid":false,"given":"Junhai","family":"Ma","sequence":"first","affiliation":[{"name":"College of Management and Economics, Tianjin University, No. 92, WeiJin Road, NanKai District, Tianjin 300072, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tiantong","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Management and Economics, Tianjin University, No. 92, WeiJin Road, NanKai District, Tianjin 300072, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yalan","family":"Hong","sequence":"additional","affiliation":[{"name":"College of Management and Economics, Tianjin University, No. 92, WeiJin Road, NanKai District, Tianjin 300072, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xueli","family":"Zhan","sequence":"additional","affiliation":[{"name":"School of Economics, Beijing Wuzi University, Beijing 101149, P. R. China"},{"name":"School of Economics, Beijing Wuzi University, Tianjin 300072, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,6,3]]},"reference":[{"key":"S0218127419500585BIB001","volume":"35","author":"Ashok A.","year":"2016","journal-title":"Vaccine"},{"key":"S0218127419500585BIB002","first-page":"227","volume-title":"Handbooks in Operations Research and Management Science","volume":"11","author":"Cachon G. P.","year":"2003"},{"key":"S0218127419500585BIB003","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.1040.0215"},{"key":"S0218127419500585BIB004","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127417500249"},{"key":"S0218127419500585BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416501261"},{"key":"S0218127419500585BIB006","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2014.988888"},{"key":"S0218127419500585BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2015.06.005"},{"key":"S0218127419500585BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2005.08.004"},{"key":"S0218127419500585BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/S1665-6423(14)72336-3"},{"key":"S0218127419500585BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2009.01.002"},{"key":"S0218127419500585BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2008.07.015"},{"key":"S0218127419500585BIB012","doi-asserted-by":"publisher","DOI":"10.1109\/FSKD.2014.6980816"},{"key":"S0218127419500585BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-1143-x"},{"key":"S0218127419500585BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2014.02.027"},{"key":"S0218127419500585BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-2410-9"},{"key":"S0218127419500585BIB016","doi-asserted-by":"publisher","DOI":"10.3390\/e18070266"},{"key":"S0218127419500585BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2016.12.035"},{"key":"S0218127419500585BIB018","doi-asserted-by":"publisher","DOI":"10.1080\/00207543.2016.1154996"},{"key":"S0218127419500585BIB019","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-2218-7"},{"key":"S0218127419500585BIB020","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/5185497"},{"key":"S0218127419500585BIB021","doi-asserted-by":"publisher","DOI":"10.1155\/2018\/7684185"},{"key":"S0218127419500585BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.econmod.2009.09.014"},{"key":"S0218127419500585BIB023","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127408022391"},{"key":"S0218127419500585BIB024","first-page":"1","volume-title":"Int. Conf. Logistics, Informatics and Service Sciences","author":"Wang W.","year":"2016"},{"key":"S0218127419500585BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2009.10.016"},{"key":"S0218127419500585BIB026","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2007.03.014"},{"key":"S0218127419500585BIB027","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2017.06.005"},{"key":"S0218127419500585BIB028","doi-asserted-by":"publisher","DOI":"10.1007\/s10660-008-9020-2"},{"key":"S0218127419500585BIB029","doi-asserted-by":"publisher","DOI":"10.1016\/S0096-3003(02)00143-1"},{"key":"S0218127419500585BIB030","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127417500213"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127419500585","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T13:35:22Z","timestamp":1565184922000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127419500585"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,5]]},"references-count":30,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2019,6,3]]},"published-print":{"date-parts":[[2019,5]]}},"alternative-id":["10.1142\/S0218127419500585"],"URL":"https:\/\/doi.org\/10.1142\/s0218127419500585","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,5]]}}}