A note on feedback sequential equilibria in a Lanchester model with empirical application

Management Science

Volumn 52, Issue 5, 2006, Pages 804-811

  Breton, Michèle ^a   Jarrar, Ramla ^b   Zaccour, Georges ^a  

^a HEC MONTRÉAL   (Canada)

^b Ohal Limited   (United Kingdom)

Author keywords

Advertising strategies; Cola market; Lanchester model; Stackelberg equilibrium

Indexed keywords

ALGORITHMS; DATA ACQUISITION; MARKETING; NUMERICAL ANALYSIS; STRATEGIC PLANNING;

ADVERTISING STRATEGIES; COLA MARKET; LANCHESTER MODEL; STACKELBERG EQUILIBRIUM;

MATHEMATICAL MODELS;

EID: 33646370999     PISSN: 00251909     EISSN: 15265501     Source Type: Journal    
DOI: 10.1287/mnsc.1050.0475     Document Type: Article

References (13)

1. Basar, T., A. Haurie. 1984. Feedback Equilibria in Differential Games with Structural and Modal Uncertainties. Advances in Large Scale Systems. J. B. Cruz, ed. JAI Press, Greenwich, CT.
2. Breton, M., A. A. Alj, A. Haurie. 1988. Sequential Stackelberg equilibria in two-person games. J. Optim. Theory Appl. 59 71-97.
3. Breton, M., F. Chauny, G. Zaccour. 1997. A leader-follower dynamic game of new product diffusion. J. Optim. Theory Appl. 92 77-98.
4. Breton, M., A. Yezza, G. Zaccour. 1996. Feedback Stackelberg equilibria in a dynamic game of advertising competition: A numerical analysis. S. Jørgenscn, G. Zaccour, eds. Dynamic Competitive Analysis in Marketing. Springer-Verlag, Berlin, Germany.
5. Chintagunta, P. K., N. J. Vilcassim. 1992. An empirical investigation of advertising strategies in a dynamic duopoly. Management Sci. 38 1230-1244.
6. Erickson, G. 1985. A model of advertising competition. J. Marketing Res. 22 297-304.
7. Erickson, G. 1992. Empirical analysis of closed-loop duopoly advertising strategies. Management Sci. 38 1732-1749.
8. Erickson, G. 2003. Dynamic Models of Adivrtising Competition. International Series in Quantitative Marketing, Kluwer, Boston, MA.
9. Fruchter, G. E., S. Kalish. 1997. Closed-loop advertising strategies in a duopoly. Management Sci. 43 54-63.
10. Jarrar, R., G. Martín-Herrán, G. Zaccour. 2004. Markov perfect equilibrium advertising strategies of Lanchester duopoly model: A technical note. Management Sci. 50(7) 995-1000.
11. Jørgensen, S., G. Zaccour. 2004. Differential Games in Marketing. International Series in Quantitative Marketing. Kluwer Academic Publishers, Boston, MA.
12. Simaan, M., J. B. Cruz, Jr. 1973. On the Stackelberg strategy in a nonzero-sum games. J. Optim. Theory Appl. 11(5) 535-555.
13. Sorger, G. 1989. Competitive dynamic advertising: A modification of the case game. J. Econom. Dynam. Control 13 55-80.