Product innovation and process innovation in a dynamic Stackelberg game

Abstract Under a Stackelberg game structure, we investigate the optimal R & D portfolio of a single-product monopolist investment in product and process innovations of a South-country firm. The research is conducted using a dynamic game with knowledge accumulation. The South-country firm is a manufacturer (the Stackelberg leader) with a two-market framework, in which it supplies products for its domestic market and a North-country firm (the Stackelberg follower). Consumers in the two markets have different green preferences and price sensitivities. Two conventional results reveal that: (a) the investment decisions in product and process innovations are complementary; and (b) the optimal investment efforts positively respond to a learning rate and a knowledge accumulation rate. Specifically, we find that: (a) the optimal innovation efforts of the manufacturer are more heavily affected by the green product preferences of the Stackelberg follower than that of itself; and (b) when consumers’ marginal willingness to pay for green products is sufficiently high, optimal investment efforts are higher in the profit-seeking optimum than that in social welfare seeking optimum. In addition, we demonstrate that under both the monopolist optimum and the social optimum, a unique saddle steady-state equilibrium exists.

[1]  M. S. Taylor,et al.  North-South Trade and the Environment , 1994 .

[2]  F. André,et al.  Strategic quality competition and the Porter Hypothesis , 2009 .

[3]  Helen Lisbeth Walker,et al.  Sustainable Procurement, Institutional Context and Top Management Commitment: An International Public Sector Study , 2016 .

[4]  Yuchen Li,et al.  Analysis of intellectual property cooperation behavior and its simulation under two types of scenarios using evolutionary game theory , 2018, Comput. Ind. Eng..

[5]  S. Gopalakrishnan,et al.  The Dynamics of the Adoption of Product and Process Innovations in Organizations , 2001 .

[6]  Georges Zaccour,et al.  A differential game of international pollution control with evolving environmental costs , 2012, Environment and Development Economics.

[7]  Daniel A. Levinthal,et al.  Demand Heterogeneity and Technology Evolution: Implications for Product and Process Innovation , 2001, Manag. Sci..

[8]  Luca Lambertini,et al.  Vertical Differentiation in a Cournot Industry: The Porter Hypothesis and Beyond , 2011 .

[9]  Wansheng Tang,et al.  Who should determine energy efficiency level in a green cost-sharing supply chain with learning effect? , 2018, Comput. Ind. Eng..

[10]  Lingling Guo,et al.  Two-echelon reverse supply chain in collecting waste electrical and electronic equipment: A game theory model , 2018, Comput. Ind. Eng..

[11]  Jose-Luis Hervas-Oliver,et al.  Process innovation strategy in SMEs, organizational innovation and performance: a misleading debate? , 2014 .

[12]  Luca Lambertini,et al.  On the instability of the R&D portfolio in a dynamic monopoly. Or, one cannot get two eggs in one basket , 2017 .

[13]  Andrea Mantovani,et al.  Process and product innovation by a multiproduct monopolist: A dynamic approach , 2009 .

[14]  Shoude Li,et al.  Dynamic control of a multiproduct monopolist firm’s product and process innovation , 2018, J. Oper. Res. Soc..

[15]  Antoine W. van Agtmael,et al.  The Emerging Markets Century: How a New Breed of World-Class Companies Is Overtaking the World , 2007 .

[16]  S. Turnovsky,et al.  CONSUMER'S SURPLUS, PRICE INSTABILITY, AND CONSUMER WELFARE , 1980 .

[17]  Giacomo Bonanno,et al.  Intensity of competition and the choice between product and process innovation , 1998 .

[18]  D. Mowery,et al.  Process Innovation and Learning by Doing in Semiconductor Manufacturing , 1998 .

[19]  Zugang Liu,et al.  Consumer environmental awareness and competition in two-stage supply chains , 2012, Eur. J. Oper. Res..

[20]  Wesley M. Cohen,et al.  Firm Size and the Nature of Innovation within Industries: The Case of Process and Product R&D , 1996 .

[21]  Kristina McElheran,et al.  Do Market Leaders Lead in Business Process Innovation? The Case(s) of E-Business Adoption , 2014, Manag. Sci..

[22]  Jianxin You,et al.  Production , Manufacturing and Logistics Consumer environmental awareness and channel coordination with two substitutable products , 2014 .

[23]  Daniel A. Levinthal,et al.  Innovation and Learning: The Two Faces of R&D , 1989 .

[24]  Georg von Krogh,et al.  External Knowledge and Information Technology: Implications for Process Innovation Performance , 2017, MIS Q..

[25]  Luca Lambertini,et al.  Quality improvement and process innovation in monopoly: A dynamic analysis , 2015, Oper. Res. Lett..

[26]  Régis Chenavaz,et al.  Dynamic pricing, product and process innovation , 2012, Eur. J. Oper. Res..

[27]  Rui Dai,et al.  Green process innovation and differentiated pricing strategies with environmental concerns of South-North markets , 2017 .

[28]  Mingqing Xing,et al.  On the optimal choices of R&D risk in a market with network externalities , 2014 .

[29]  Rebecka Andersson,et al.  The internationalization process of Chinese MNCs. A study of the motive for Chinese firms to enter developed countries , 2011 .

[30]  Shoude Li,et al.  A dynamic analysis of investment in process and product innovation with learning-by-doing , 2016 .

[31]  L. Argote,et al.  Learning Curves in Manufacturing , 1990, Science.

[32]  Shu Lin,et al.  Research Note - Business Value of Information Technology: Testing the Interaction Effect of IT and R&D on Tobin's Q , 2013, Inf. Syst. Res..

[33]  James M. Utterback,et al.  A dynamic model of process and product innovation , 1975 .

[34]  K. Arrow.  The Economic Implications of Learning by Doing , 1962 .

[35]  Morteza Rasti Barzoki,et al.  Sustainable supply chain management with pricing, greening and governmental tariffs determining strategies: A game-theoretic approach , 2017, Comput. Ind. Eng..

[36]  Xiaojun Pan,et al.  Production , Manufacturing and Logistics Dynamic optimal control of process – product innovation with learning by doing , 2015 .

[37]  Jian Ni,et al.  Dynamic product innovation and production decisions under quality authorization , 2018, Comput. Ind. Eng..

[38]  Peter Thompson,et al.  Learning by Doing , 2010 .

[39]  Gerald C. Kane,et al.  Information Technology and Organizational Learning: An Investigation of Exploration and Exploitation Processes , 2007, Organ. Sci..

[40]  Eric H. Kessler,et al.  A reexamination of product and process innovations using a knowledge-based view , 1999 .