Geodesic
A Game-Theoretic Model of Virtual Operators Competition in a Two-Sided Telecommunication Market
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 9 (2017) no. 3, pp. 36-63.

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

This paper considers a market where two large companies provide services to the population through “cloud” virtual operators buying companies’ services and reselling them to clients. Each large company assigns a price for selling its services to virtual operators. Also the number of its clients and its resource (a characteristic of company’s attractiveness for clients) are known. The game process is a repetition of two-step games where virtual operators choose companies and prices for their services. Each virtual operator needs to choose a company whose services he is going to sell and also to define a price for the services to be sold to clients. Each virtual operator establishes the probability to choose the company and the price for services, taking into account that the partition of company’s clients choosing a given operator is defined by the Hotelling specification. At each step, each virtual operator seeks to maximize his payoff. We find the optimal strategies of the virtual operators and also explore the following question. Does the system achieve some stationary state in this repeated two-step game or a repeating cycle of states is formed instead?
Keywords: cloud operators, repeated two-step game, Hotelling specification, Nash equilibrium, stationary state. 
@article{MGTA_2017_9_3_a1,
     author = {Vladimir V. Mazalov and Julia V. Chirkova and Jie Zheng and Jaimie W. Lien},
     title = {A {Game-Theoretic} {Model} of {Virtual} {Operators} {Competition} in a {Two-Sided} {Telecommunication} {Market}},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {36--63},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2017_9_3_a1/}
}
TY  - JOUR
AU  - Vladimir V. Mazalov
AU  - Julia V. Chirkova
AU  - Jie Zheng
AU  - Jaimie W. Lien
TI  - A Game-Theoretic Model of Virtual Operators Competition in a Two-Sided Telecommunication Market
JO  - Matematičeskaâ teoriâ igr i eë priloženiâ
PY  - 2017
SP  - 36
EP  - 63
VL  - 9
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MGTA_2017_9_3_a1/
LA  - ru
ID  - MGTA_2017_9_3_a1
ER  - 
%0 Journal Article
%A Vladimir V. Mazalov
%A Julia V. Chirkova
%A Jie Zheng
%A Jaimie W. Lien
%T A Game-Theoretic Model of Virtual Operators Competition in a Two-Sided Telecommunication Market
%J Matematičeskaâ teoriâ igr i eë priloženiâ
%D 2017
%P 36-63
%V 9
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MGTA_2017_9_3_a1/
%G ru
%F MGTA_2017_9_3_a1
Vladimir V. Mazalov; Julia V. Chirkova; Jie Zheng; Jaimie W. Lien. A Game-Theoretic Model of Virtual Operators Competition in a Two-Sided Telecommunication Market. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 9 (2017) no. 3, pp. 36-63. http://geodesic.mathdoc.fr/item/MGTA_2017_9_3_a1/

[1] Armstrong M., “Competition in two-sided markets”, The RAND Journal of Economics, 37:3 (2006), 668–691 | DOI | MR

[2] Chang F., Ren J., Viswanathan R., “Optimal resource allocation in clouds”, Proceedings of the 3rd International Conference on Cloud Computing, Cloud 2010, IEEE Computer Society (Washington, DC, USA, 2010), 418–425

[3] Chaisiri S., Lee B.-S., Niyato D., “Optimization of resource provisioning cost in cloud computing”, IEEE Transactions on Services Computing, 5:2 (2012), 164–177 | DOI

[4] Karakitsiou A., Migdalas A., “Locating facilities in a competitive environment”, Optimization Letters, 11:5 (2017), 929–945 | DOI | MR | Zbl

[5] Kiiski A., Hämmäinen H., “Mobile virtual network operator strategies: Case Finland”, ITS 15th Biennial conference (Berlin, Germany, 4–7 September 2004) http://www.netlab.tkk.fi/tutkimus/lead/leaddocs/KiiskiHammainen_MVNO.pdf

[6] Kllapi H., Sitaridi E., Tsangaris M. M., Ioannidis Y., “Schedule optimization for data processing ows on the cloud”, Proceedings of the 2011 ACM SIGMOD International Conference on Management of data, SIGMOD '11, ACM, New York, NY, USA, 2011, 289–300 | DOI

[7] Mazalov V. V., Mathematical Game Theory and Applications, Wiley, New York, 2014 | MR | Zbl

[8] Mazalov V., Lukyanenko A., Luukkainen S., “Equilibrium in cloud computing market”, Performance Evaluation, 92 (2015), 40–50 | DOI

[9] Mazalov V. V., Melnik A. V., “Equilibrium Prices and Flows in the Passenger Traffic Problem”, International Game Theory Review, 18:1 (2016) | DOI | MR

[10] Raivio Y., Mazhelis O., Annapureddy K., Mallavarapu R., Tyrväinen P., “Hybrid cloud architecture for short message services”, Proceedings of the 2nd International Conference on Cloud Computing and Services Science, Closer 2012, SciTePress, 2012, 489–500