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Strategic Interaction With Multiple Tools: A New Empirical Model

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  • Richards, Timothy J.
  • Patterson, Paul M.

Abstract

The Lanchester model of strategic interaction typically considers only two-firm rivalry and one strategic tool. This paper presents an alternative that considers rivalry among several firms using multiple tools. Marketing decisions are dynamically optimal and use equations of motion for market share that are consistent with optimal consumer choice. Using a single-market case study that consists of five years of monthly data on ready to eat cereal sales, advertising, product development investments and new product introductions, we test our model against a similar Lanchester specification. Non-nested specification tests fail to reject the proposed model, but reject the Lanchester alternative.

Suggested Citation

  • Richards, Timothy J. & Patterson, Paul M., 2002. "Strategic Interaction With Multiple Tools: A New Empirical Model," Working Papers 28545, Arizona State University, Morrison School of Agribusiness and Resource Management.
    • Handle: RePEc:ags:asumwp:28545
    DOI: 10.22004/ag.econ.28545
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    References listed on IDEAS

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    1. Davidson, Russell & MacKinnon, James G, 1981. "Several Tests for Model Specification in the Presence of Alternative Hypotheses," Econometrica, Econometric Society, vol. 49(3), pages 781-793, May.
    2. Kenneth S. Corts, 1998. "Third-Degree Price Discrimination in Oligopoly: All-Out Competition and Strategic Commitment," RAND Journal of Economics, The RAND Corporation, vol. 29(2), pages 306-323, Summer.
    3. Mark J. Roberts & Larry Samuelson, 1988. "An Empirical Analysis of Dynamic, Nonprice Competition in an Oligopolistic Industry," RAND Journal of Economics, The RAND Corporation, vol. 19(2), pages 200-220, Summer.
    4. Moschini, GianCarlo & Vissa, Anuradha, 1992. "A Linear Inverse Demand System," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 17(2), pages 1-9, December.
    5. Heien, Dale & Wessells, Cathy Roheim, 1990. "Demand Systems Estimation with Microdata: A Censored Regression Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(3), pages 365-371, July.
    6. Ronald W. Cotterill, 1999. "High cereal prices and the prospects for relief by expansion of private label and antitrust enforcement," Agribusiness, John Wiley & Sons, Ltd., vol. 15(2), pages 229-245.
    7. Kenneth R. Deal, 1979. "Optimizing Advertising Expenditures in a Dynamic Duopoly," Operations Research, INFORMS, vol. 27(4), pages 682-692, August.
    8. Gasmi, F & Laffont, J J & Vuong, Q, 1992. "Econometric Analysis of Collusive Behavior in a Soft-Drink Market," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(2), pages 277-311, Summer.
    9. Nevo, Aviv, 2001. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, Econometric Society, vol. 69(2), pages 307-342, March.
    10. Pradeep K. Chintagunta & Vithala R. Rao, 1996. "Pricing Strategies in a Dynamic Duopoly: A Differential Game Model," Management Science, INFORMS, vol. 42(11), pages 1501-1514, November.
    11. Pollak, Robert A & Wales, Terence J, 1980. "Comparison of the Quadratic Expenditure System and Translog Demand Systems with Alternative Specifications of Demographic Effects," Econometrica, Econometric Society, vol. 48(3), pages 595-612, April.
    12. Gasmi, F. & Vuong, Q.H., 1988. "An Econometric Analysis Of Some Duopolistic Games In Prices And Advertising," Papers m8903, Southern California - Department of Economics.
    13. Gary M. Erickson, 1997. "Note: Dynamic Conjectural Variations in a Lanchester Oligopoly," Management Science, INFORMS, vol. 43(11), pages 1603-1608, November.
    14. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    15. Barry L. Bayus & William P. Putsis, Jr., 1999. "Product Proliferation: An Empirical Analysis of Product Line Determinants and Market Outcomes," Marketing Science, INFORMS, vol. 18(2), pages 137-153.
    16. Gary M. Erickson, 1992. "Empirical Analysis of Closed-Loop Duopoly Advertising Strategies," Management Science, INFORMS, vol. 38(12), pages 1732-1749, December.
    17. Engelbert Dockner & Steffen Jørgensen, 1988. "Optimal Pricing Strategies for New Products in Dynamic Oligopolies," Marketing Science, INFORMS, vol. 7(4), pages 315-334.
    18. Ronald Cotterill & William Putsis, 2000. "Market Share and Price Setting Behavior for Private Labels and National Brands," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 17(1), pages 17-39, August.
    19. Gustav Feichtinger & Richard F. Hartl & Suresh P. Sethi, 1994. "Dynamic Optimal Control Models in Advertising: Recent Developments," Management Science, INFORMS, vol. 40(2), pages 195-226, February.
    20. Pollak, Robert A. & Wales, Terence J., 1991. "The likelihood dominance criterion : A new approach to model selection," Journal of Econometrics, Elsevier, vol. 47(2-3), pages 227-242, February.
    21. Kalai, Ehud & Stanford, William, 1985. "Conjectural variations strategies in accelerated cournot games," International Journal of Industrial Organization, Elsevier, vol. 3(2), pages 133-152, June.
    22. Fudenberg, Drew & Tirole, Jean, 1984. "The Fat-Cat Effect, the Puppy-Dog Ploy, and the Lean and Hungry Look," American Economic Review, American Economic Association, vol. 74(2), pages 361-366, May.
    23. Slade, Margaret E, 1995. "Product Rivalry with Multiple Strategic Weapons: An Analysis of Price and Advertising Competition," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(3), pages 445-476, Fall.
    24. Larry S. Karp & Jeffrey M. Perloff, 1993. "A Dynamic Model of Oligopoly in the Coffee Export Market," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 75(2), pages 448-457.
    25. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, I: Overview and Quantity Competition with Large Fixed Costs," Econometrica, Econometric Society, vol. 56(3), pages 549-569, May.
    26. M. L. Vidale & H. B. Wolfe, 1957. "An Operations-Research Study of Sales Response to Advertising," Operations Research, INFORMS, vol. 5(3), pages 370-381, June.
    27. Pradeep K. Chintagunta & Dipak C. Jain, 1995. "Empirical Analysis of a Dynamic Duopoly Model of Competition," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(1), pages 109-131, March.
    28. Sorger, Gerhard, 1989. "Competitive dynamic advertising : A modification of the Case game," Journal of Economic Dynamics and Control, Elsevier, vol. 13(1), pages 55-80, January.
    29. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    30. repec:cdl:agrebk:440237 is not listed on IDEAS
    31. George E. Kimball, 1957. "Some Industrial Applications of Military Operations Research Methods," Operations Research, INFORMS, vol. 5(2), pages 201-204, April.
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