A dynamic analysis of investment in process and product innovation with learning-by-doing

This paper investigates the optimal control problem of a monopolist’s investments in process and product innovation under learning-by-doing in a dynamic setting. We show that: (i) there exists the saddle stable steady state under monopolist optimum and social optimum; (ii) the learning rates of product and process innovation affect not only the monopolist’s process or product innovation investments, but also the complementarity (substitutability) relationship between product and process innovation; (iii) the social incentive towards both product and process innovation is always larger than the private incentive characterizing the profit-seeking monopolist. These results are valuable complement and development to the results drawn from the standard product and process innovation model.

[1]  Xavier Vives,et al.  Strategic incentives in dynamic duopoly , 2004, J. Econ. Theory.

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

[3]  Luca Lambertini,et al.  Dynamic R&D with spillovers: Competition vs cooperation , 2009 .

[4]  Ping Lin,et al.  Process and product R&D by a multiproduct monopolist , 2004 .

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

[6]  Barbara Ermini,et al.  Risk attitude, product innovation, and firm growth. Evidence from Italian manufacturing firms , 2013 .

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

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

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

[10]  S. Klepper.  Entry, Exit, Growth, and Innovation over the Product Life Cycle , 1996 .

[11]  Ping Lin,et al.  Product differentiation, process R&D, and the nature of market competition , 2002 .

[12]  Andrea Mantovani,et al.  Process and product innovation: A differential game approach to product life cycle , 2010 .

[13]  Andrea Mantovani.  Complementarity between product and process innovation in a monopoly setting , 2006 .

[14]  L. Lambertini.  The Monopolist's Optimal R&D Portfolio , 2003 .

[15]  S. Athey,et al.  Product and Process Flexibility in an Innovative Environment , 1995 .

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

[17]  Luca Lambertini.  Process and product R&D by a multiproduct monopolist: a reply to Lin , 2004 .

[18]  Shoude Li,et al.  A dynamic general equilibrium model of pollution abatement under learning by doing , 2014 .

[19]  Andrea Mantovani,et al.  Identifying reaction functions in differential oligopoly games , 2006, Math. Soc. Sci..

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

[21]  Jonas Häckner,et al.  A Note on Price and Quantity Competition in Differentiated Oligopolies , 2000, J. Econ. Theory.

[22]  A. Clarke.  Learning-by-doing and aggregate fluctuations: Does the form of the accumulation technology matter? , 2006 .

[23]  Francis Clarke,et al.  Optimal Pricing Policy in the Presence of Experience Effects , 1982 .