Geodesic
Game Theory Approach for Supply Chains Optimization
Contributions to game theory and management, Tome 4 (2011), pp. 188-198

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In this paper game theoretic mathematical models of inventory systems are treated. We consider a market, where several distributors are acting. Each distributor has warehouse for storage goods before supply to customers. Assume that demand for their goods has deterministic nature and depends on total supply or on prices of distributors. So we will consider quantitative and price competition among distributors. Distributors are considered as players in non-cooperative game. First we treat quantitative competition in context of model of Cournot. Then to consider price competition we use modified model of Bertrand. For modeling of control of inventory system we use the relaxation method of inventory regulation with admission of deficiency.
Keywords: Nash equilibrium, optimal, internal strategy, external strategy, demand, distributor. 
@article{CGTM_2011_4_a13,
     author = {Mansur G. Gasratov and Victor V. Zakharov},
     title = {Game {Theory} {Approach} for {Supply} {Chains} {Optimization}},
     journal = {Contributions to game theory and management},
     pages = {188--198},
     publisher = {mathdoc},
     volume = {4},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2011_4_a13/}
}
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Mansur G. Gasratov; Victor V. Zakharov. Game Theory Approach for Supply Chains Optimization. Contributions to game theory and management, Tome 4 (2011), pp. 188-198. http://geodesic.mathdoc.fr/item/CGTM_2011_4_a13/