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On an advertising differential game model with salers in supply chain management. (Chinese. English summary) Zbl 1265.91027

Summary: Advertising with salers in supply chain management is very important, for it decides about the profit and the market occupancy. The paper views supply chains as a whole, they sale seasonal production, salers are an independent department and advertise seasonal production. We establish a differential game model to study the action and the effect of advertising, and then give an advertising differential game model. At last, we assume that the cost function and the profit function obey to normal distributions, and give some good results.

MSC:

91A35 Decision theory for games
90B05 Inventory, storage, reservoirs
90B06 Transportation, logistics and supply chain management
90B60 Marketing, advertising
91A23 Differential games (aspects of game theory)
91A80 Applications of game theory