Optimal dynamic advertising with an adverse exogenous effect on brand goodwill

Automatica

Volumn 45, Issue 4, 2009, Pages 863-870

  Grosset, Luca ^a   Viscolani, Bruno ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

Advertising; Nonsmooth optimization; Optimal control

Indexed keywords

FUNCTIONS; PIECEWISE LINEAR TECHNIQUES;

ADVERTISING; ADVERTISING MODELS; CONTROL PROBLEMS; DEMAND FUNCTIONS; EXIT TIME; EXPLICIT REPRESENTATIONS; INFINITE HORIZONS; INTERFERENCE LEVELS; NEGATIVE TERMS; NON SMOOTHES; NONSMOOTH OPTIMIZATION; OPTIMAL CONTROL; OPTIMAL DYNAMICS; PIECE-WISE LINEAR; ZERO VALUES;

OPTIMIZATION;

EID: 61849181514     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2008.10.027     Document Type: Article

References (20)

1. Amrouche N., Martín-Herrán G., and Zaccour G. Feedback Stackelberg equilibrium strategies when the private label competes with the national brand. Annals of Operations Research 164 1 (2008) 79-95
2. Amrouche N., Martín-Herrán G., and Zaccour G. Pricing and advertising of private and national brands in a dynamic marketing channel. Journal of Optimization Theory and Applications 137 3 (2008) 465-483
3. Aubin J.-P., and Clarke F.H. Shadow prices and duality for a class of optimal control problems. SIAM Journal on Control and Optimization 17 (1979) 567-586
4. Buratto A., Grosset L., and Viscolani B. Advertising a new product in a segmented market. European Journal of Operational Research 175 (2006) 1262-1267
5. Buratto A., Grosset L., and Viscolani B. Advertising channel selection in a segmented market. Automatica 42 (2006) 1343-1347
6. Cellini R., and Lambertini L. Advertising with spillover effects in a differential oligopoly game with differentiated goods. Central European Journal of Operations Research 11 (2003) 409-423
7. Dockner E., Jørgensen S., Long N.V., and Sorger G. Differential games in economics and management science (2000), Cambridge Univ. Press, Cambridge
8. Feichtinger G., Hartl R.F., and Sethi S.P. Dynamic optimal control models in advertising: Recent developments. Management Science 40 2 (1994) 195-226
9. Grosset L., and Viscolani B. Advertising in a segmented market: Comparison of media choices. IMA Journal of Management Mathematics 19 (2008) 219-226
10. Hartl R. A simple proof of the monotonicity of the state trajectories in autonomous control problems. Journal of Economic Theory 41 (1987) 211-215
11. Jørgensen S., and Zaccour G. Differential games in marketing (2004), Kluwer Academic Publishers, Boston
12. Karray S., and Zaccour G. Effectiveness of coop advertising programs in competitive distribution channels. International Game Theory Review 9 2 (2007) 151-167
13. Little J.D.C. Aggregate advertising models: the state of the art. Operations Research 27 (1979) 629-667
14. Marinelli C. The stochastic goodwill problem. European Journal of Operational Research 176 1 (2007) 389-404
15. Nair A., and Narasimhan R. Dynamics of competing with quality- and advertising-based goodwill. European Journal of Operational Research 175 (2006) 462-474
16. Nerlove M., and Arrow K.J. Optimal advertising policy under dynamic conditions. Economica 29 2 (1962) 129-142
17. Rubel O., and Zaccour G. A differential game of a dual distribution channel. Annals of the International Society of Dynamic Games 9 (2007) 547-568
18. Seierstad A., and Sydsaeter K. Optimal control theory with economic applications (1987), North-Holland, Amsterdam
19. Sethi S.P. Dynamic optimal control models in advertising: a survey. SIAM Review 19 4 (1977) 685-725
20. Viscolani B., and Zaccour G. Advertising strategies in a differential game with negative competitor's interference. Journal of Optimization Theory and Applications (2008) 10.1007/s10957-008-9454-7