Game Theoretic Models of Sustainable Management in Marketing Networks

Authors

  • Movlatkhan T. Agieva Ingush State University
  • Alexei V. Korolev National Research University Higher School of Economics at St. Petersburg
  • Guennady A. Ougolnitsky Southern Federal University

DOI:

https://doi.org/10.21638/11701/spbu31.2020.03

Abstract

Difference and differential Stackelberg games of opinion control on marketing networks are considered. The principal allocates financial resources to the firms for marketing purposes. It is supposed that the structure of a target audience described by a weighted directed graph is already determined in the stage of network analysis, and marketing control actions are applied only to the members of strong subgroups (opinion leaders). Conditions of homeostasis (phase constraints) which reflect the requirements of sustainable management are introduced additionally. The Stackelberg equilibria are found analytically. It is shown that the interests of the principal and the firms are completely compatible.

Keywords:

difference Stackelberg games, differential Stackelberg games, marketing networks, sustainable management

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References

Agieva, M. T., Korolev, A. V., Ougolnitsky, G. A. (2019). Modeling and Simulation of Impact and Control in Social Networks. In: Modeling and Simulation of Social-Behavioral Phenomena in Creative Societies. First International EURO Mini Conference, MSBC 2019 Vilnius, Lithuania, September 18–20, 2019 Proceedings. Springer, 2019. P. 29–40.

Chkhartishvili, A., Gubanov, D., Novikov, D. (2019). Social Networks: Models of Information Influence, Control, and Confrontation. Springer Publishers.

Leontief, W. (1987). Input-Output Analysis. The New Palgrave. A Dictionary of Economics, edited by J. Eatwell, M. Milgate, and P. Newman, vol. 2, pp. 860-864. London. Macmillan.

Nisan, N., Roughgarden, T., Tardos, E., Vazirani, V. (2007). Algorithmic Game Theory. Camdridge University Press.

Ougolnitsky, G. (2011). Sustainable Management. N.Y.: Nova Science Publishers.

Sedakov, A., Zhen, M. (2019). Opinion Dynamics Game in Social Network with Two Influence Nodes. Vestnik SPb Gos. Univ. Ser. Appl. Math. Inform. Sci. Contr. Proc., 15(1), 118–125.

Sraffa, P. (1960). Production of Commodities by Means of Commodities. Prelude to a Critique of Economic Theory. Cambridge: Cambridge University Pres

Sraffa, P. (1962). Production of Commodities by Means of Commodities: A Comment. Economic Journal, 72, 477–479.

Sukhinov, A. I., Ougolnitsky, G. A., Usov, A. B. (2020). Methods of Solving the Theoretic Game Models for Coordinating Interests in Regulating the Fishery Industry. Mathematical Models and Computer Simulations, 12(2), 176–184.

Zhen, M. (2019). Stackelberg Equilibrium in Opinion Dynamics Game in Social Network with Two Influence Nodes. Contributions to Game Theory and Management. Vol. XII. Collected Papers of the Twelfth International Conference "Game Theory and Management", Petrosyan, L., and Zenkevich, N., Eds., St. Petersburg: Saint Petersburg State University, 366–386.

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Published

2022-02-01

How to Cite

Agieva, M. T., Korolev, A. V., & Ougolnitsky , G. A. (2022). Game Theoretic Models of Sustainable Management in Marketing Networks. Contributions to Game Theory and Management, 13. https://doi.org/10.21638/11701/spbu31.2020.03

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