Geodesic
Dependent retailers’ demand in game theoretic model of supply chain
Contributions to game theory and management, Tome 16 (2023), pp. 99-109.

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

Supply chain management is one of the intensively developing areas of applied research. One of the main tools for studying the problems of this area is game theory. This study is based on a two-level supply chain model mathematically described using a hierarchical Stackelberg game. The top player in the hierarchy is the manufacturer and the bottom players are two retailers interacting according to the Cournot game scheme. Unlike previous models, this one assumes that their demands are dependent and jointly distributed. Next, the focus shifts to the study of the interaction pattern of retailers when trading substitute goods. A special case of joint distribution of demand is considered.
Keywords: two-echelon supply chain, Stackelberg game, Cournot game, dependent demand, joint distribution, substitutable demand, Nash equilibrium. 
@article{CGTM_2023_16_a7,
     author = {Suriya Sh. Kumacheva and Victor V. Zakharov},
     title = {Dependent retailers{\textquoteright} demand in game theoretic model of supply chain},
     journal = {Contributions to game theory and management},
     pages = {99--109},
     publisher = {mathdoc},
     volume = {16},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2023_16_a7/}
}
TY  - JOUR
AU  - Suriya Sh. Kumacheva
AU  - Victor V. Zakharov
TI  - Dependent retailers’ demand in game theoretic model of supply chain
JO  - Contributions to game theory and management
PY  - 2023
SP  - 99
EP  - 109
VL  - 16
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CGTM_2023_16_a7/
LA  - en
ID  - CGTM_2023_16_a7
ER  - 
%0 Journal Article
%A Suriya Sh. Kumacheva
%A Victor V. Zakharov
%T Dependent retailers’ demand in game theoretic model of supply chain
%J Contributions to game theory and management
%D 2023
%P 99-109
%V 16
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CGTM_2023_16_a7/
%G en
%F CGTM_2023_16_a7
Suriya Sh. Kumacheva; Victor V. Zakharov. Dependent retailers’ demand in game theoretic model of supply chain. Contributions to game theory and management, Tome 16 (2023), pp. 99-109. http://geodesic.mathdoc.fr/item/CGTM_2023_16_a7/

[1] Bonci, A., Pirani, M. and Longhi, S., “An Embedded Database Technology Perspective in Cyber-Physical Production Systems”, Procedia Manufacturing, 11 (2017), 830–837 | DOI

[2] Borovkov, A. A., Probability Theory, Editorial URSS, M., 2009 (in Russian) | MR

[3] Cachon, G. and Netessine, S., “Game Theory in Supply Chain Analysis”, Handbook of Quantitative Supply Chain Analysis: Modeling in the E-Business Era, eds. SimchiLevi, D. and Wu, S. and Shen, Z., Kluwer, Boston, 2004 | Zbl

[4] Dai, Y., Chao, X., Fang, S. and Nuttle, H., “Game Theoretic Analysis of a Distribution System with Customer Market Search”, Ann. Oper. Res., 135 (2005), 223–238 | DOI | MR | Zbl

[5] Dekking, F. M., Kraaikamp, C., Lopuhaa, H. P. and Meester, L. E., A Modern Introduction to Probability and Statistics: Understanding Why and How, Springer-Verlag London Limited, 2005 | MR | Zbl

[6] Ghiami, Y. and Williams, T., “A Two-echelon Production-inventory Model for Deteriorating Items with Multiple Buyers”, Int. J. Prod. Econ., 159 (2015), 233–240 | DOI | MR

[7] Goldenock, E. and Goldenock, K., “Eventological measurement of superposition demand and supply by distributional functions”, Journ. SFU. Ser. Matem. i Phys., 1:1 (2008), 78–84 (in Russian)

[8] Hennetx, J. C. and Ardax, Y., “Supply Chain Coordination: A Game Theory Approach”, Engineering Applications of Artificial Intelligence, 21:3 (2008), 399–405 | DOI

[9] Kherbach, O. and Mocan, M. L., “The Importance of Logistics and Supply Chain Management in the Enhancement of Romanian SMEs”, Procedia – Social and Behavioral Sciences, 221 (2016), 405–413 | DOI

[10] Kumacheva, S. and Zakharov, V., “Two Echelon Supply Chain: Market Search Behavior and Dependent Demands”, Stability and Control Processes, SCP 2020, Proceedings, Lecture Notes in Control and Information Sciences, eds. Smirnov, N. and Golovkina, A., Springer, Cham, 2022, 419–426 | MR | Zbl

[11] Kumara, V., Chibuzob, E. N., Garza-Reyesc, J. A., Kumaria, A., Rocha-Lonad, L. and Lopez-Torrese, G. C., “The Impact of Supply Chain Integration on Performance: Evidence from the UK Food Sector”, Procedia Manufacturing, 11 (2017), 814–821 | DOI

[12] Kuchesfehani, E. K., Parilina, E. M. and Zaccour, G., “Revenue and cost sharing contract in a dynamic closed-loop supply chain with uncertain parameters”, Annals of Operations Research, 2022 | DOI | MR | Zbl

[13] Martagan, T. G., Game theoretic analysis of an inventory problem with substitution, random demand and yield, Theses and Dissertations, 2369, 2010

[14] McConnell, C. R. and Brue, C. R., Economics: Principles, problems and policies, McGraw-Hill Series in Economics, 399, New York, 1990

[15] Parlar, M., “Game Theoretic Analysis of the Substitutable Product Inventory Problem with Random Demands”, Nav. Res. Logist., 35 (1988), 397–409 | 3.0.CO;2-Z class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl

[16] Pechersky, S. L. and Belyaeva, A. A., Game Theory for Economists, Europian University, St. Petersburg, 2001 (in Russian)

[17] Sharma, A., Dwivedi, G. and Singh, A., Game-theoretic Analysis of a Two-echelon Supply Chain with Option Contract Under Fairness Concerns, Computers $\$ Industrial Engineering Volume, 137, 2019 | DOI

[18] Sukati, I., Hamid, A. B., Rohaizat, B. and Yusoff, R. Md., “The Study of Supply Chain Management Strategy and Practices on Supply Chain Performance”, Procedia – Social and Behavioral Sciences, 40 (2012), 225–233 | DOI

[19] Tirole, J., The Theory of Industrial Organization, MIT Press, MA, Cambridge, 1988

[20] Yao, Z., Leung, S. C. H. and Lai, K. K., “Manufacturer's Revenue-sharing Contract and Retail Competition”, European Journal of Operational Research, 186 (2008), 637–651 | DOI | MR | Zbl

[21] Yao, F., Parilina, E. and Zaccour, G., “Accounting for consumers' environmental concern in supply chain contracts”, European Journal of Operational Research, 301 (2022), 987–1006 | DOI | MR | Zbl

[22] Yuqing, Qi., Weihong, Ni. and Kuiran, Shi, “Game Theoretic Analysis of One Manufacturer Two Retailer Supply Chain With Customer Market Search”, Int. J. Production Economics, 164 (2015), 57–64 | DOI