Abstract
This paper opens the complex issue of relationship marketing to formal modeling using differential equations. Our purpose is to examine how relational commitment is established, developed and maintained in a context of symmetric and asymmetric partners.We present three main findings. The rates of commitment of the seller and the buyer are higher when both partners are engaged in a symmetric relational exchange. A consciously attractive buyer is reluctant to develop a long-term relationship with an unreliable seller. Neither a very low level of opportunistic inclination nor a very high level of trust is healthy for the relational commitment.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Morgan, R. M. and Hunt, S.D. (1994), “The commitment-trust theory of relationship marketing”, Journal of Marketing, 58, 3, 20–38.
Rinaldi, S. (1998), “Love Dynamics: The case of Linear couples”, Applied Mathematics and Computation, 95, 181–192.
Dwyer, F.R., Schurr, P.H. and Oh, S. (1987), “Developing Buyer-Seller Relationships”, Journal of Marketing, 51, 11–27.
Jorgensen, S. and Zaccour, G. (1999), “Equilibrium Pricing and Advertising Strategies in a Marketing Channel”, Journal of Optimization Theory and Applications, 102, 1, 11–125.
Jorgensen, S., Sigué, S.P. and Zaccour, G. (2000), “Cooperative Advertising in a Marketing Channel”, Journal of Retailing, 76, 71–92.
Jorgensen, S., Sigué, S.P. and Zaccour, G. (2001), Stackelberg Leadership in a Marketing Channel, International Game Theory Review, 3, 13–26.
Sigué, S.P. (2002), “Horizontal Strategic Interactions in Franchising”, in Zaccour, G., Ed., Decision and Control in Management Science, Boston: Kluwer Academic Publishers.
Anderson, J.C. and Naru, J.A. (1990), “A model of Distributor Firm and Manufacturer Firm Working Partnerships”, Journal of Marketing, 54, 42–58.
Moore, K.R. (1998), “Trust and Relationship Commitment in Logistic Alliances: A Buyer Perspective”, International Journal of Purchasing and Materials Management, 34, 24–37.
Garbarino, E. and Johnson, M.S. (1999), “The Different Roles of Satisfaction, Trust, and Commitment in Customer Relationships”, Journal of Marketing, 63, 70–87.
Gragnani, A., Rinaldi, S. and Feichtinger, G. (1996), “Cyclic Dynamics in Romantic Relationships”, International Journal of Bifurcation and Chaos,7, 11, 2611–2619.
Williamson, O. E. (1975), Markets and Hierarchies, Analysis and Antitrust Implications, New York: The Free Press.
Rinaldi, S. and Gragnani, A. (1998), “Love Dynamics Between Secure Individuals: A Modeling Approach”, Nonlinear Dynamics, Psychology, and Life Sciences, 2, 4, 283–301.
Muratori, S. and Rinaldi, S. (1991), “Excitability, Stability, and Sign of Equilibria in Positive Linear Systems”, Systems é4 Control Letters, 16, 59–63.
Barnes, J.G. (1994), “Close to the Customer: but is it really a relationship?”, Journal of Marketing Management, 10, 7, 561–570.
Palmer, A.J. (1996), “Relationship marketing: a universal paradigm or management fad?”, The Learning Organization, 3, 3, 18–25.
Das, T.K. and Teng, B. (1998), “Between trust and control: Developing confidence in partner cooperation in alliances”, The Academy of Management Review, 23,3, 491–512.
Noordewier, T.G., John, G, and Nevin, J.R. (1990), “Performance outcomes of purchasing arrangements in industrial buyer-vendor relationships”, Journal of Marketing, 54, 80–93.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media New York
About this chapter
Cite this chapter
Sigué, S.P., Elloumi, F. (2002). From Love Dynamics to Relationship Marketing: The Case of Linear Partners. In: Zaccour, G. (eds) Optimal Control and Differential Games. Advances in Computational Management Science, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1047-5_5
Download citation
DOI: https://doi.org/10.1007/978-1-4615-1047-5_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-5368-3
Online ISBN: 978-1-4615-1047-5
eBook Packages: Springer Book Archive