Geodesic
How Hierarchical Structures Impact on Competition and Taxation
Contributions to game theory and management, Tome 3 (2010), pp. 91-103 
Alexsandr Galegov; Andrey Garnaev. How Hierarchical Structures Impact on Competition and Taxation. Contributions to game theory and management, Tome 3 (2010), pp. 91-103. http://geodesic.mathdoc.fr/item/CGTM_2010_3_a8/
@article{CGTM_2010_3_a8,
     author = {Alexsandr Galegov and Andrey Garnaev},
     title = {How {Hierarchical} {Structures} {Impact} on {Competition} and {Taxation}},
     journal = {Contributions to game theory and management},
     pages = {91--103},
     year = {2010},
     volume = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2010_3_a8/}
}
TY  - JOUR
AU  - Alexsandr Galegov
AU  - Andrey Garnaev
TI  - How Hierarchical Structures Impact on Competition and Taxation
JO  - Contributions to game theory and management
PY  - 2010
SP  - 91
EP  - 103
VL  - 3
UR  - http://geodesic.mathdoc.fr/item/CGTM_2010_3_a8/
LA  - en
ID  - CGTM_2010_3_a8
ER  - 
%0 Journal Article
%A Alexsandr Galegov
%A Andrey Garnaev
%T How Hierarchical Structures Impact on Competition and Taxation
%J Contributions to game theory and management
%D 2010
%P 91-103
%V 3
%U http://geodesic.mathdoc.fr/item/CGTM_2010_3_a8/
%G en
%F CGTM_2010_3_a8

Voir la notice de l'article provenant de la source Math-Net.Ru

Stackelberg models for hierarchical oligopolistic markets with a homogenous product were studied by researchers extensively. The goal of this paper is to extend the classical solution in closed form of the Stackelberg model for a general hierarchical structures composed by firms arranged into groups of different hierarchical levels and to find optimal tax rate for this model.

[1] Gibbons R., Game Theory for Applied Economists, Princeton University Press, Princeton, NJ, 1992, 288 pp.

[2] British American Tobacco – Annual Report and Accounts, http://www.bat.com/ group/ sites/ uk_3mnfen.nsf/ vwPagesWebLive/ DO52AK34/ \$FILE/medMD7D9KKN.pdf?openelement

[3] Japan Tabacco International Annual reports, http://www.altria.com/AnnualReport/ar2006/2006ar_05_0200.aspx

[4] Anderson S. P., Engers M., “Stackelberg versus Cournot Oligopoly Equilibrium”, International Journal of Industrial Organization, 10 (1992), 127–135 | DOI

[5] Boyer M., Moreaux M., “Perfect Competition as the Limit of a Hierarchical Market Game”, Economics Letters, 22 (1986), 115–118 | DOI | MR

[6] Okamura M., Futagami K., Ohkawa T., “On the Stackelberg Equilibrium — Existence. Uniqueness and Stability”, Indian Economic Journal, 45 (1998), 87–100

[7] Robson A., “Stackelberg and Marshall”, American Economic Review, 80 (1990), 69–82

[8] Sherali H. D., Soyster A. L., Murphy F. H., “Stackelberg–Nash–Cournot Equilibria: Characterizations and Computations”, Operations Research, 31 (1983), 253–276 | DOI | MR | Zbl

[9] Vives X., “Sequential Entry. Industry Structure and Welfare”, European Economic Review, 32 (1988), 1671–1687 | DOI

[10] Vasin A. A., Morozov V. V., Game Theory and models of mathematical economics, Max press, M., 2005