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Wholesale pricing and evolutionarily stable strategies of retailers with imperfectly observable objective

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  • Xiao, Tiaojun
  • Chen, Guohua

Abstract

This paper develops a one-population (indirect) evolutionary game model of a supply chain with one manufacturer/supplier and many (a sufficiently large number of) retailers to study how the retailer's marketing objective depends on the wholesale price, its observability, the error probability of the observed result on the rival's preference, the market scale and the retailer's bargaining power. This paper also presents an algorithm for computing the optimal wholesale price of the manufacturer. We find that the profit (revenue) maximization behavior is an evolutionarily stable marketing strategy if the wholesale price is sufficiently high (low). Given an appropriate wholesale price, the revenue maximization behavior coexists with the profit maximization behavior in the retailers' population. The larger the market scale, the stronger the motivation of the retailer to take profit maximization behavior due to a higher wholesale price. The cross effects of the retailer's reservation payoff and the other factors should be considered in the decision process.

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  • Xiao, Tiaojun & Chen, Guohua, 2009. "Wholesale pricing and evolutionarily stable strategies of retailers with imperfectly observable objective," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1190-1201, August.
    • Handle: RePEc:eee:ejores:v:196:y:2009:i:3:p:1190-1201
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    1. Qi, Xiangtong & Bard, Jonathan F. & Yu, Gang, 2004. "Supply chain coordination with demand disruptions," Omega, Elsevier, vol. 32(4), pages 301-312, August.
    2. Bester, Helmut & Guth, Werner, 1998. "Is altruism evolutionarily stable?," Journal of Economic Behavior & Organization, Elsevier, vol. 34(2), pages 193-209, February.
    3. Schaffer, Mark E., 1989. "Are profit-maximisers the best survivors? : A Darwinian model of economic natural selection," Journal of Economic Behavior & Organization, Elsevier, vol. 12(1), pages 29-45, August.
    4. Prajit K. Dutta & Roy Radner, 1999. "Profit Maximization and the Market Selection Hypothesis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(4), pages 769-798.
    5. Michael L. Katz, 1991. "Game-Playing Agents: Unobservable Contracts as Precommitments," RAND Journal of Economics, The RAND Corporation, vol. 22(3), pages 307-328, Autumn.
    6. Barros, Fatima, 1995. "Incentive schemes as strategic variables: An application to a mixed duopoly," International Journal of Industrial Organization, Elsevier, vol. 13(3), pages 373-386, September.
    7. , & , M., 2006. "Information, evolution and utility," Theoretical Economics, Econometric Society, vol. 1(1), pages 119-142, March.
    8. Fangruo Chen & Awi Federgruen & Yu-Sheng Zheng, 2001. "Coordination Mechanisms for a Distribution System with One Supplier and Multiple Retailers," Management Science, INFORMS, vol. 47(5), pages 693-708, May.
    9. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    10. Ruebeck, Christopher S., 1999. "Imitation dynamics in the repeated Prisoners' Dilemma: an exploratory example," Journal of Economic Behavior & Organization, Elsevier, vol. 40(1), pages 81-104, September.
    11. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-666, May.
    12. Robin Marris, 1963. "A Model of the "Managerial" Enterprise," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 77(2), pages 185-209.
    13. Rhode, Paul & Stegeman, Mark, 2001. "Non-Nash equilibria of Darwinian dynamics with applications to duopoly," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 415-453, March.
    14. Romero, Carlos, 2000. "Bi-criteria utility functions: Analytical considerations and implications in the short-run labour market," European Journal of Operational Research, Elsevier, vol. 122(1), pages 91-100, April.
    15. Neelankavil, James P. & Alaganar, V. T., 2003. "Strategic resource commitment of high-technology firms: An international comparison," Journal of Business Research, Elsevier, vol. 56(6), pages 493-502, June.
    16. Eddie Dekel & Jeffrey C. Ely & Okan Yilankaya, 2007. "Evolution of Preferences -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 685-704.
    17. Xiao, Tiaojun & Yu, Gang, 2006. "Supply chain disruption management and evolutionarily stable strategies of retailers in the quantity-setting duopoly situation with homogeneous goods," European Journal of Operational Research, Elsevier, vol. 173(2), pages 648-668, September.
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