Leader-follower games in marketing: A differential game approach

International Journal of Mathematics in Operational Research

Volumn 2, Issue 2, 2010, Pages 151-177

  Medhin, Negash G ^a   Wan, Wei ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b CLAFLIN UNIVERSITY   (United States)

Author keywords

Competitive strategy; Differential games; Marketing

Indexed keywords

EID: 84861402722     PISSN: 17575850     EISSN: 17575869     Source Type: Journal    
DOI: 10.1504/IJMOR.2010.030815     Document Type: Article

References (21)

1. Amitrajeet A.B. and Beladi, H. (2006) 'A Stackelberg game model of trade in renewable resources with competitive sellers', Review of International Economics, Vol. 14, No. 1, pp.136-147. (Pubitemid 43740662)
2. Ascher, U.M., Mattheij, R.M.M. and Russell, R.D. (1995) Numerical Solution of Boundary Value Problems for Ordinary Differential Equations. Philadelphia: SIAM.
3. Bass, F.M., Krishnamoorthy, A., Prasad, A. and Sethi, S.P. (2005) 'Generic and brand advertising strategies in a dynamic duopoly, marketing science', Vol. 24, No. 4, Fall, pp.556-568. (Pubitemid 41817687)
4. Berkovitz, L.D. (1974) 'Two person zero sum differential games: an overview', The Theory and Application of Differential Games - Proceedings of the NATO Advanced Study Institute held at the University of Warwick, Coverntry, England, 27 August-6 September.
5. Cellini, R. and Lambertini, L. (2001) 'Advertising in a differential oligopoly game', Journal of Optimization Theory and Application, Vol. 116, pp.61-81.
6. Cellini, R. and Lambertini, L. (2004) 'Dynamic oligopoly with sticky prices: closed-loop, feedback, and open-loop solutions', Journal of Dynamical and Control Systems, Vol. 10, No. 3, pp.303-314, 341-369.
7. Chintagunta, P.K. and Vilcassim, N.J. (1992) 'An empirical investigation of advertising strategies in a dynamic duopoly', Management Science, Vol. 38. No. 9, pp.1230-1244.
8. Chintagunta, P.K. and Vilcassim, N.J. (1994) 'Marketing investment decisions in a dynamic duopoly: a model and empirical analysis', Int. J. Research in Marketing, Vol. 11, No. 3, pp.287-306.
9. Dastidar, K.G. (2004) 'On Stackelberg games in a homogeneous product market', European Economic Review, Vol. 48, pp.549-562. (Pubitemid 38503335)
10. Deal, K.R. (1979) 'Optimization advertising expenditures in a dyanmic duopoly', Operations Research, Vol. 27, No. 4, pp.682-692.
11. Erickson, G.M. (2003) Dynamic Models of Advertising Competition, 2nd edn. Boston/Dordrecht/London: Kluwer Academic Publishers.
12. Erickson, G.M. (to be published) An Oligopoly of Dynamic Advertising Competition.
13. Fruchter, G.E. and Kalish, S. (1997) 'Closed-loop advertising strategies in a duopoly', Management Science, Vol. 43, No. 1, pp.54-63. (Pubitemid 127575305)
14. Fujiwara, K. (2006) A Stackelberg Game Model of Dynamic Duopolistic Competition with Sticky Prices, Economics Bulletin, Vol. 12, No. 12, pp.1-9.
15. George, L. (1981) The Calculus of Variations and Optimal Control: An Introduction. New York and London: Plenum Press.
16. Kalkuhl, M., Eisenack, K. and Edenhofer, O. (2008) 'Climate policy instruments in a differential Stackelberg game with market imperfections', Conference paper for the 13th International Symposium on Dynamic Games and Applications (30 June-3 July).
17. Medhin, N.G. and Wan, W. (2008) 'Competition in the last stage of product life-cycle: a differential games approach', Communications in Applied Analysis, Vol. 12, pp.113-136.
18. Medhin, N.G. and Wan, W. (2009) Multi-new product competition in duopoly: a differential game analysis, Journal on Control and Optimization. Dynamic Systems and Applications, Vol. 18, pp.161-178.
19. Papavassilopoulos, G.P. (1979) 'Nonclassic control problems and Stackelberg games', IEEE Transactions on Automatic Control, Vol. 24, No. 2, pp.155-166.
20. Rodrigues, H.S. (2008) 'Nash game vs Stackelberg game: a study in an electric power market', 13th International Congress on Computational and Applied Mathematics.
21. Sequential Movers in Natural Resources. Available at: http://www.sceco.umontreal.ca/syllabus/2004H/7923A/ SequentialMoversNaturalResources.pdf.