Abstract
Chaos theory is not well understood or appreciated in marketing, yet it offers a way of improving understanding of marketing systems. A brief introduction to chaos theory is given. Its relevance to marketing is then illustrated through a discussion of different types of marketing models that can result in complex dynamics, including chaos. Next, techniques for detecting the presence of chaos in the behavior of real systems are reviewed. Finally, the implications of chaos theory for marketing theory and practice are discussed.
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Allen, Peter M. and Michele Sanglier. 1978. “Dynamic Model of Urban Growth.”Journal of Social and Biological Structures 1 (July): 265–280.
Allen, Peter M. and Michele Sanglier. 1979. “A Dynamic Model of Growth in a Central Place System.”Geographical Analysis 11 (July): 256–272.
Arthur, W. Brian. 1990. “Positive Feedbacks in the Economy.”Scientific American 263 (February): 80–85.
Axelrod, Robert. 1984.The Evolution of Cooperation. New York: Basic Books.
Barnett, William A. and Seungmook S. Choi. 1989. “A Comparison between the Conventional Econometric Approach to Structural Inference and the Nonparametric Chaotic Attractor Approach.” InEconomic Complexity: Chaos Sunspots, Bubbles and Nonlinearity. Eds. William A. Barnett, John Geweke, and Karl Shell. Cambridge, MA: Cambridge University Press, 141–212.
Beaumont, John R., Marcus Clarke, and Alan G. Wilson. 1981. “The Dynamics of Urban Spatial Structure: Some Exploratory Results Using Difference Equations and Bifurcation Theory.”Environment and Planning A 13 (December): 1473–1483.
Benhabib, Jess and Richard H. Day. 1981. “Rational Choice and Erratic Behavior.”Review of Economic Studies 48 (July): 459–471.
Bishop, William S., John L. Graham, and Michael H. Jones. 1984. “Volatility of Derived Demand in Industrial Markets and Its Management Implications.”Journal of Marketing 48 (Fall): 95–103.
Black, William C., Lyman E. Ostlund, and Robert A. Westbrook. 1985. “Spatial Models in an Intrabrand Context.”Journal of Marketing 49 (Summer): 106–113.
Bowersox, Donald J., Omar K. Helferich, Edward J. Marien, Peter Gilmour, Michael L. Lawrence, Fred W. Morgan, and Richard T. Rogers. 1972.Dynamic Simulation of Physical Distribution systems. East Lansing: Michigan State University, Division of Research, Graduate School of Business Administration.
Brock, William A. 1986. “Distinguishing Random and Deterministic Systems.”Journal of Economic Theory 40 (October): 168–195.
Brock, William A. and Chera L. Sayers. 1988. “Is the Business Cycle Characterized by Deterministic Chaos?”Journal of Monetary Economics 22 (July): 71–90.
Campbell, David K. and Harvey Rose. 1983.Order in Chaos. Amsterdam: North-Holland.
Carroll, Glen R. 1988.Ecological Models of Organizations. Cambridge, MA: Ballinger.
Chiarella, Carl. 1988. “The Cobweb Model: Its Instability and the Onset of Chaos.”Economic Modelling 5 (October): 377–384.
Clarke, Martin and Alan G. Wilson. 1983. “The Dynamics of Urban Spatial Structure: Progress and Problems.”Journal of Regional Science 23 (February): 1–18.
Cooper, Lee G. and Maseo Nakanishi. 1988.Market-share Analysis: Evaluating Competitive Marketing Effectiveness. Boston: Kluwer Academic Publishers.
Day, Richard H. 1982. “Irregular Growth Cycles.”American Economic Review 72 (June): 406–414.
————— 1983a. “Adaptive Economics.” InCites and Regions as Nonlinear Decision Systems. Ed. Richard W. Crosby. Boulder, Co: Westview, 29–62.
————— 1983b. “The Emergence of Chaos from Classical Economic Growth.”Quarterly Journal of Economics 97 (2): 201–213.
Day, Richard H. and Jean-Luc Walter. 1989. “Economic Growth in the Very Long Run: On the Multiple-phase Interaction of Population, Technology, and Social Infrastructure.” InEconomic Complexity: Chaos, Sunspots, Bubbles and Nonlinearity. Eds. William A. Barnett, John Geweke, and Karl Shell. Cambridge, MA: Cambridge University Press, 253–290.
Feigenbaum, Mitchell J. 1979. “Universal Metric Properties of Nonlinear Transformation.”Journal of Statistical Physics 21 (June): 669–706.
————— 1983. “Universal Behavior of Nonlinear Systems.”Physica D, Nonlinear Phenomena 7 (May): 16–39.
Forrester, Jay W. 1961.Industrial Dynamics. Cambridge, MA: MIT Press.
————— 1980. “System Dynamics—Future Opportunities.” InSystem Dynamics: TIMS Studies in the Management Sciences. Eds. Augusto A. Legasto Jr., Jay W. Forrester, and James M. Lyneis. Amsterdam: North-Holland, 7–21.
Gautschi, David A., Jr. 1981. “Specification of Patronage Models for Retail Center Choice.”Journal of Marketing Research 18 (May): 162–174.
Gleick, James. 1987.Chaos: Making a New Science. New York: Penguin.
Gordon, Theodore J. 1991. “Notes on Forecasting a Chaotic Series Using Regression.”Technological Forecasting and Social Change 39 (July): 337–348.
Gordon, Theodore J. and David Greenspan. 1988. “Chaos and Fractals: New Tools for Technological and Social Forecasting.”Technological Forecasting and Social Change 34 (August): 1–25.
Grandmont, Jean-Michel and Pierre Malgrange. 1986. “Nonlinear Economic Dynamics: Introduction.”Journal of Economic Theory 40 (October): 3–12.
Granovetter, Mark and Roland Soong. 1986. “Threshold Models of Interpersonal Effects in Consumer Demand.”Journal of Economic Behavior and Organization 7 (March): 83–99.
Grassberger, Peter and Itamar Procaccia. 1983. “Measuring the strangeness of Strange Attractors.”Physics D, Nonlinear Phenomena 9 (October): 189–208.
Guckenheimer, John, George Oster, and A. Ipaktchi. 1977. “The Dynamics of Density Dependent Population Models.”Journal of Mathematical Biology 4 (2): 101–147.
Harris, Brian and Alan G. Wilson. 1978. “Equilibrium Values and Dynamics of Attractiveness Terms in Production-constrained Spatial-interaction Models.”Environment and Planning 10 (April): 371–388.
Hibbert, D. Brynn and Ian F. Wilkinson. 1991. “Modelling the Evolution of Marketing Systems Using Genetic Algorithms.” Paper presented at the 7th Industrial Marketing and Purchasing Conference, University of Uppsala, Sweden.
Hinich, Melvin J. and Douglas M. Patterson. 1989. “Evidence of Nonlinearity in the Trade-by-Trade Stock Market Return Generating Process.” InEconomic Complexity: Chaos, Sunspots, Bubbles and Nonlinearity. Eds. William A. Barnett, John Geweke, and Karl Shell. Cambridge, MA: Cambridge University Press, 383–409.
Holland, John H. and John H. Miller. 1991. “Artificial Adaptive Agents in Economic Theory.”American Economic Review 81 (May): 365–370.
Huff, David L. 1964. “Defining and Estimating a Trading Area.”Journal of Marketing 28 (July): 34–38.
Kotler, Philip. 1984.Marketing Management Analysis Planning and Control. Englewood Cliffs, NJ: Prentice-Hall.
Lambkin, Mary and George S. Day. 1989. “Evolutionary Processes in Competitive Markets: Beyond the Product Life Cycle.”Journal of Marketing 53 (July): 4–20.
Lundquist, Stig, Norman H. Marsh, and Mario P. Tosi. 1988.Order and Chaos in Nonlinear Physical Systems. New York: Plenum.
Mahajan, Vijay, Eitan Muller, and Frank M. Bass. 1990. “New Product Diffusion Models in Marketing: A Review and Directions for Research.”Journal of Marketing 54 (January): 1–26.
May, Robert M. 1976. “Simple Mathematical Models with Very Complicated Dynamics.”Nature 261 (June 10): 459–467.
————— 1990. “Chaos and Some of Its Implications in the Biological Sciences.” Paper presented at the International Conference on Chaos in Australia. Kensington, Australia: University of New South Wales.
Medio, Alfredo. 1991. “Discrete and Continuous-Time Models of Chaotic Dynamics in Economics.”Structural Change and Economic Dynamics 2 (June): 99–118.
Medio, Alfredo and Giampaolo Gallo. 1993.Chaotic Dynamics: Theory and Applications to Economics. Cambridge, UK: Cambridge University Press.
Naert, Philippe and Marcel Weverbergh. 1981. “On the Prediction Power of Market Share Attraction Models.”Journal of Marketing Research 18 (May): 146–153.
Nelson, Richard R. and Sidney G. Winter. 1982.An Evolutionary Theory of Economic Change. Cambridge, MA: Belknap Press of Harvard University Press.
Nichols, Nancy A. 1993. “Efficient? Chaotic? What Is the New Finance?”Harvard Business Review 71 (March-April): 50–60.
Peschel, Manfred and Werner Mende. 1986.The Predator-Prey Model. New York: Springer-Verlag.
Preismeyer, H. Richard and Kibak Batik. 1989. “Discovering the Patterns of Chaos.”Planning Review 17 (November–December): 14–47.
Prigogine, Ilya and Isabelle Stengers. 1984.Order Out of Chaos. London: Heinemann.
Redmond, William H. 1991. “When Technologies Compete: The Role of Externalities in Nonlinear Market Response.”Journal of Product Innovation Management 8 (September): 170–183.
Rossiter, John R. and Larry Percy. 1987.Advertising and Promotion Management. New York: McGraw-Hill.
Ruthven, Russell. 1993. “Adapting to Complexity.”Scientific American 268 (January): 130–140.
Stutzer, Michael. 1980. “Chaotic Dynamics and Bifurcations in a Macro Model.”Journal of Economic Dynamics and Control 2 (November): 353–376.
Weiss, Gary. 1992. “Chaos Hits Wall St.—The Theory That Is.”Business Week (November 2): 58–60.
Wilkinson, Ian F. 1988. “The Dynamics of Channel Structure and the Structure of Dynamics.” Paper presented at the Winter Educators’ Conference of the American Marketing Association, San Diego.
————— 1990. “Toward a Theory of Structural Change and Evolution in Marketing Channels.”Journal of Macromarketing 10 (Fall): 18–46.
Wilson, Alan G. 1981Geography and the Environment: Systems Analytic Methods. London: Wiley.
Wolf, Alan, Jack B. Swift, Harry L. Swinney, and John A. Vastano. 1985. “Determining Lyapunov Exponents from a Time Series.”Physica D, Nonlinear Phenomena 16 (July): 285–317.
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He arrived from London University to take the chair of Analytical Chemistry in 1987 with a background in physical chemistry. His interest in chaos stems from work on fractals—those wiggly shapes that appear to be so ubiquitous in nature. A chance meeting with Professor Wilkinson allowed him to use his computing skills in an unusual (for him) area of research.
He has been a visiting professor at various U.S. and European universities, including the University of California at Berkeley, the University of Cincinnati, Temple University, and the Stockholm School of Economics. His research focuses on the dynamics of Marketing systems, interfirm relations, and international marketing. His work has been published in journals such as theJournal of the Academy of Market Science, Journal of Macromarketing, Industrial Marketing Management, Journal of Applied Psychology, and theEuropean Journal of Marketing.
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Hibbert, B., Wilkinson, I.F. Chaos theory and the dynamics of marketing systems. JAMS 22, 218–233 (1994). https://doi.org/10.1177/0092070394223003
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DOI: https://doi.org/10.1177/0092070394223003