{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T07:03:26Z","timestamp":1760425406907,"version":"3.41.2"},"reference-count":38,"publisher":"Emerald","issue":"2","license":[{"start":{"date-parts":[[2016,2,1]],"date-time":"2016-02-01T00:00:00Z","timestamp":1454284800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016,2,1]]},"abstract":"\n Purpose<\/jats:title>\n \u2013 The problem of manufacturer-customer relationships is becoming the key factor of enterprise development, and the contradiction between manufacturer\u2019s objective and customer\u2019s satisfaction still exists. Customers claim for product safety from manufacturers, so manufacturers should take corporate social responsibility (CSR) into their company philosophy or even enhance the degree of CSR during their production. The purpose of this paper is to investigate the influences of parameters on the stability of risk-averse complementary product manufacturers. <\/jats:p>\n <\/jats:sec>\n \n Design\/methodology\/approach<\/jats:title>\n \u2013 In this study, three dynamic game models are developed: manufacturer 1 \u2013 leader Stackelberg game model, manufacturer 2 \u2013 leader Stackelberg game model and Nash game model. Using bifurcation diagrams, the largest Lyapunov exponent, 0-1 test for chaos and parameter basin plots, the influences of parameters on the complex behaviors of the three models are analyzed. <\/jats:p>\n <\/jats:sec>\n \n Findings<\/jats:title>\n \u2013 The authors demonstrate that the system exists in deterministic chaos when the parameter exceeds a certain value. The lead manufacturer will not be a beneficiary in chaotic state, and when two manufacturers have the same status the stability of the system weakens, which renders it easily chaotic. <\/jats:p>\n <\/jats:sec>\n \n Research limitations\/implications<\/jats:title>\n \u2013 In this paper, the authors make some assumptions, which when applied broadly could lead to some findings. <\/jats:p>\n <\/jats:sec>\n \n Practical implications<\/jats:title>\n \u2013 The authors find that the lead manufacturer will derive the greatest profit and will exert the least effort compared with the follower manufacturer, but that both manufacturers will exert greater effort in the Nash game. The two manufacturers should be cautious while selecting the parameter\n\t\t\t\t\t'\n\t\t\t\ts value so that the stability of the system is maintained. <\/jats:p>\n <\/jats:sec>\n \n Social implications<\/jats:title>\n \u2013 The research will serve as a guide for the two complementary manufacturers in their decision-making process. <\/jats:p>\n <\/jats:sec>\n \n Originality\/value<\/jats:title>\n \u2013 The originality and value of the research rest on the use of dynamic thinking in ensuring stability in the quality of complementary products considering the firms\u2019 market powers. The research will serve as a guide for the two complementary manufacturers in their decision-making process.<\/jats:p>\n <\/jats:sec>","DOI":"10.1108\/k-01-2015-0032","type":"journal-article","created":{"date-parts":[[2016,1,20]],"date-time":"2016-01-20T10:12:32Z","timestamp":1453284752000},"page":"244-265","source":"Crossref","is-referenced-by-count":17,"title":["The dynamic decision in risk-averse complementary product manufacturers with corporate social responsibility"],"prefix":"10.1108","volume":"45","author":[{"given":"Yimin","family":"Huang","sequence":"first","affiliation":[]},{"given":"Liang","family":"Liu","sequence":"additional","affiliation":[]},{"given":"Ershi","family":"Qi","sequence":"additional","affiliation":[]}],"member":"140","reference":[{"key":"key2020121802253815100_b1","doi-asserted-by":"crossref","unstructured":"Armand Eyebe Fouda, J.S.\n , \n Bodo, B.\n , \n Sabat, S.L.\n and \n Effa, J.Y.\n (2014), \u201cA modified 0-1 test for chaos detection in oversampled time series observations\u201d, \n International Journal of Bifurcation and Chaos\n , Vol. 24 No. 5, pp. 1450063-75.","DOI":"10.1142\/S0218127414500631"},{"key":"key2020121802253815100_b2","doi-asserted-by":"crossref","unstructured":"Aust, G.\n , \n Br\u00e4uer, I.\n and \n Buscher, U.\n (2014), \u201cA note on \u2018Quality investment and inspection policy in a supplier-manufacturer supply chain\u2019\u201d, \n European Journal of Operational Research\n , Vol. 234 No. 3, pp. 910-915.","DOI":"10.1016\/j.ejor.2013.11.004"},{"key":"key2020121802253815100_b3","doi-asserted-by":"crossref","unstructured":"Boulouta, I.\n and \n Pitelis, C.N.\n (2014), \u201cWho needs CSR? The impact of corporate social responsibility on national competitiveness\u201d, \n Journal of Business Ethics\n , Vol. 119 No. 3, pp. 349-364.","DOI":"10.1007\/s10551-013-1633-2"},{"key":"key2020121802253815100_b5","doi-asserted-by":"crossref","unstructured":"Forker, L.B.\n (1997), \u201cFactors affecting supplier quality performance\u201d, \n Journal of Operations Management\n , Vol. 15 No. 4, pp. 243-269.","DOI":"10.1016\/S0272-6963(97)00001-6"},{"key":"key2020121802253815100_b6","doi-asserted-by":"crossref","unstructured":"Gimenez, C.\n and \n Tachizawa, E.M.\n (2012), \u201cExtending sustainability to suppliers: a systematic literature review\u201d, \n Supply Chain Manage: An international journal\n , Vol. 17 No. 5, pp. 531-543.","DOI":"10.1108\/13598541211258591"},{"key":"key2020121802253815100_b7","doi-asserted-by":"crossref","unstructured":"Goss, A.\n and \n Roberts, G.R.\n (2011), \u201cThe impact of corporate social responsibility on the cost of bank loans\u201d, \n Journal of Banking and Finance\n , Vol. 35 No. 7, pp. 1794-1810.","DOI":"10.1016\/j.jbankfin.2010.12.002"},{"key":"key2020121802253815100_b8","doi-asserted-by":"crossref","unstructured":"Gottwald, G.A.\n and \n Melbourne, I.\n (2009), \u201cOn the implementation of the 0-1 test for chaos\u201d, \n SIAM Journal on Applied Dynamical Systems\n , Vol. 8 No. 1, pp. 129-145.","DOI":"10.1137\/080718851"},{"key":"key2020121802253815100_b9","doi-asserted-by":"crossref","unstructured":"Guo, Y.H.\n and \n Ma, J.H.\n (2013), \u201cResearch on game model and complexity of retailer collecting and selling in closed-loop supply chain\u201d, \n Applied Mathematical Modeling\n , Vol. 37 No. 7, pp. 5047-5058.","DOI":"10.1016\/j.apm.2012.09.034"},{"key":"key2020121802253815100_b10","doi-asserted-by":"crossref","unstructured":"Hori, S.\n , \n Shinozaki, M.\n , \n Nogata, D.\n and \n Fujita, T.\n (2014), \u201cThe role of CSR in promoting companies\u2019 energy-saving actions in two Asian cities\u201d, \n Energy Policy\n , Vol. 69, pp. 116-121.","DOI":"10.1016\/j.enpol.2014.01.030"},{"key":"key2020121802253815100_b11","doi-asserted-by":"crossref","unstructured":"Hsieh, C.C.\n and \n Liu, Y.T.\n (2010), \u201cQuality investment and inspection policy in a supplier-manufacturer supply chain\u201d, \n European Journal of Operational Research\n , Vol. 202 No. 3, pp. 717-729.","DOI":"10.1016\/j.ejor.2009.06.013"},{"key":"key2020121802253815100_b12","doi-asserted-by":"crossref","unstructured":"Hsueh, C.F.\n (2014), \u201cImproving corporate social responsibility in a supply chain through a new revenue sharing contract\u201d, \n International Journal of Production Economics\n , Vol. 151, pp. 214-222.","DOI":"10.1016\/j.ijpe.2013.10.017"},{"key":"key2020121802253815100_b13","doi-asserted-by":"crossref","unstructured":"Jiao, Y.W.\n (2010), \u201cStakeholder welfare and firm value\u201d, \n Journal of Banking and Finance\n , Vol. 34 No. 10, pp. 2549-2561.","DOI":"10.1016\/j.jbankfin.2010.04.013"},{"key":"key2020121802253815100_b14","doi-asserted-by":"crossref","unstructured":"Kim, Y.\n , \n Li, H.D.\n and \n Li, S.Q.\n (2014), \u201cCorporate social responsibility and stock price crash risk\u201d, \n Journal of Banking & Finance\n , Vol. 43, pp. 1-13.","DOI":"10.1016\/j.jbankfin.2014.02.013"},{"key":"key2020121802253815100_b15","doi-asserted-by":"crossref","unstructured":"Kopel, M.\n and \n Brand, B.\n (2012), \u201cSocially responsible firms and endogenous choice of strategic incentives\u201d, \n Economic Modelling\n , Vol. 29 No. 3, pp. 982-989.","DOI":"10.1016\/j.econmod.2012.02.008"},{"key":"key2020121802253815100_b16","doi-asserted-by":"crossref","unstructured":"Kuo, C.W.\n and \n Huang, K.L.\n (2012), \u201cDynamic pricing of limited inventories for multi generation products\u201d, \n European Journal of Operational Research\n , Vol. 217 No. 2, pp. 394-403.","DOI":"10.1016\/j.ejor.2011.09.020"},{"key":"key2020121802253815100_b17","doi-asserted-by":"crossref","unstructured":"Lambertini, L.\n and \n Tampieri, A.\n (2011), \u201cOn the stability of mixed oligopoly equilibria with CSR firms\u201d, working paper, University of Bologna, Bologna.","DOI":"10.2139\/ssrn.1879166"},{"key":"key2020121802253815100_b18","unstructured":"Ma, J.H.\n and \n Li, Q.X.\n (2014), \u201cThe complex dynamics of bertrand-stackelberg pricing models in a risk-averse supply chain\u201d, \n Discrete Dynamics in Nature and Society\n , Vol. 2014."},{"key":"key2020121802253815100_b19","unstructured":"Ma, J.H.\n and \n Wang, H.W.\n (2013), \u201cComplex dynamics analysis for a cournot-bertrand mixed game model with delayed bounded rationality\u201d, \n Abstract and Applied Analysis\n , Vol. 2013."},{"key":"key2020121802253815100_b20","doi-asserted-by":"crossref","unstructured":"Margolis, J.D.\n and \n Walsh, J.P.\n (2001), \n People and Profits? The Search for a Link between a Company\u2019s Social and Financial Performance\n , Psychology Press, New York, NY.","DOI":"10.4324\/9781410600622"},{"key":"key2020121802253815100_b21","doi-asserted-by":"crossref","unstructured":"Mukhopadhyay, S.K.\n , \n Yue, X.H.\n and \n Zhu, X.W.\n (2011), \u201cA Stackelberg model of pricing of complementary goods under information asymmetry\u201d, \n International Journal of Production Economics\n , Vol. 134 No. 2, pp. 424-433.","DOI":"10.1016\/j.ijpe.2009.11.015"},{"key":"key2020121802253815100_b24","doi-asserted-by":"crossref","unstructured":"Sun, K.H.\n , \n Liu, X.\n and \n Zhu, C.X.\n (2010), \u201cThe 0-1 test algorithm for chaos and its applications\u201d, \n Chinese Physics B\n , Vol. 19 No. 11, pp. 204-210.","DOI":"10.1088\/1674-1056\/19\/11\/110510"},{"key":"key2020121802253815100_b25","doi-asserted-by":"crossref","unstructured":"Sun, W.B.\n and \n Cui, K.X.\n (2014), \u201cLinking corporate social responsibility to firm default risk\u201d, \n European Management Journal\n , Vol. 32 No. 2, pp. 275-287.","DOI":"10.1016\/j.emj.2013.04.003"},{"key":"key2020121802253815100_b26","doi-asserted-by":"crossref","unstructured":"Tang, C.\n and \n Yin, R.\n (2007), \u201cJoint ordering and pricing strategies for managing substitutable products\u201d, \n Production and Operations Management\n , Vol. 16 No. 1, pp. 138-153.","DOI":"10.1111\/j.1937-5956.2007.tb00171.x"},{"key":"key2020121802253815100_b27","unstructured":"Wang, H.W.\n and \n Ma, J.H.\n (2013), \u201cComplexity analysis of a cournot-bertrand duopoly game model with limited information\u201d, \n Discrete Dynamics in Nature and Society\n , Vol. 2013."},{"key":"key2020121802253815100_b28","unstructured":"Wang, L.\n , \n Zhao, J.\n and \n Wei, J.\n (2014), \u201cPricing decisions of two complementary products in a fuzzy environment\u201d, \n Mathematical Problems in Engineering\n , Vol. 2014."},{"key":"key2020121802253815100_b29","doi-asserted-by":"crossref","unstructured":"Wei, J.\n , \n Zhao, J.\n and \n Li, Y.J.\n (2013), \u201cPricing decisions for complementary products with firms\u2019 different market powers\u201d, \n European Journal of Operational Research\n , Vol. 224 No. 3, pp. 507-519.","DOI":"10.1016\/j.ejor.2012.09.011"},{"key":"key2020121802253815100_b30","doi-asserted-by":"crossref","unstructured":"Xia, Y.\n , \n Chen, B.T.\n and \n Kouvelis, P.\n (2008), \u201cMarket-based supply chain coordination by matching suppliers\u2019 cost structure with buyers\u2019 order profile\u201d, \n Management Science\n , Vol. 54 No. 11, pp. 1861-1875.","DOI":"10.1287\/mnsc.1080.0900"},{"key":"key2020121802253815100_b31","unstructured":"Xu, Y.G.\n (2014), \u201cCSR impact on hospital duopoly with price and quality competition\u201d, \n Journal of Applied Mathematics\n , Vol. 2014."},{"key":"key2020121802253815100_b32","doi-asserted-by":"crossref","unstructured":"Yan, R.L.\n and \n Bandyopadhyay, S.\n (2011), \u201cThe profit benefits of bundle pricing of complementary products\u201d, \n Journal of Retailing Consumer Services\n , Vol. 18 No. 4, pp. 355-361.","DOI":"10.1016\/j.jretconser.2011.04.001"},{"key":"key2020121802253815100_b33","doi-asserted-by":"crossref","unstructured":"Yang, S.L.\n , \n Shi, C.M.\n and \n Zhang, Y.B.\n (2014), \u201cPrice competition for retailers with profit and revenue targets\u201d, \n International Journal of Production Economics\n , Vol. 154, pp. 233-242.","DOI":"10.1016\/j.ijpe.2014.04.022"},{"key":"key2020121802253815100_b34","doi-asserted-by":"crossref","unstructured":"Yu, J.H.\n and \n Ma, S.H.\n (2013), \u201cImpact of decision sequence of pricing and quality investment in decentralized assembly system\u201d, \n Journal of Manufacturing Systems\n , Vol. 32 No. 4, pp. 664-679.","DOI":"10.1016\/j.jmsy.2013.02.004"},{"key":"key2020121802253815100_b35","doi-asserted-by":"crossref","unstructured":"Yuan, L.G.\n , \n Yang, Q.G.\n and \n Zeng, C.B.\n (2013), \u201cChaos detection and parameter identification in fractional-order chaotic systems with delay\u201d, \n Nonlinear Dynamic\n , Vol. 73 Nos 1-2, pp. 439-448.","DOI":"10.1007\/s11071-013-0799-6"},{"key":"key2020121802253815100_b36","doi-asserted-by":"crossref","unstructured":"Yue, X.H.\n , \n Mukhopadhyay, S.K.\n and \n Zhu, X.W.\n (2006), \u201cA Bertrand model of pricing of complementary goods under information asymmetry\u201d, \n Journal of Business Research\n , Vol. 59 Nos 10-11, pp. 1182-1192.","DOI":"10.1016\/j.jbusres.2005.06.005"},{"key":"key2020121802253815100_b37","doi-asserted-by":"crossref","unstructured":"Zhang, C.T.\n , \n Wang, H.X.\n and \n Ren, M.L.\n (2014a), \u201cResearch on pricing and coordination strategy of green supply chain under hybrid production mode\u201d, \n Computers & Industrial Engineering\n , Vol. 72, pp. 24-31.","DOI":"10.1016\/j.cie.2014.03.012"},{"key":"key2020121802253815100_b38","doi-asserted-by":"crossref","unstructured":"Zhang, J.\n , \n Kevin Chiang, W.Y.\n and \n Liang, L.\n (2014b), \u201cStrategic pricing with reference effects in a competitive supply chain\u201d, \n Omega\n , Vol. 44, pp. 126-135.","DOI":"10.1016\/j.omega.2013.07.002"},{"key":"key2020121802253815100_b39","doi-asserted-by":"crossref","unstructured":"Zhao, J.\n and \n Wei, J.\n (2014), \u201cThe coordinating contracts for a fuzzy supply chain with effort and price dependent demand\u201d, \n Applied Mathematical Modeling\n , Vol. 38 No. 9, pp. 2476-2489.","DOI":"10.1016\/j.apm.2013.10.063"},{"key":"key2020121802253815100_b40","doi-asserted-by":"crossref","unstructured":"Zhao, J.\n , \n Wei, J.\n and \n Li, Y.J.\n (2014), \u201cPricing decisions for substitutable products in a two-echelon supply chain with firms\u2019 different channel powers\u201d, \n International Journal of Production Economics\n , Vol. 53, 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