Stackelberg differential game models have been used to study sequential decision making in noncooperative games in diverse fields. In this paper, we survey recent applications of Stackelberg differential game models to the supply chain management and marketing channels literatures. A common feature of these applications is the specification of the game structure: a decentralized channel compose...

This paper presents the formulation of a new concept dealing with a Robust Stackelberg equilibrium for a multi scenario or mutiple models of a linear affine-quadratic game. The game dynamic is given by a family of N different possible differential equations (MultiModel representation) with no information about the trajectory which is realized. The robust Stackelberg strategy for each player mus...

This paper is concerned with a Stackelberg stochastic differential game asymmetric noisy observation. In our model, the follower cannot observe state process directly, but could observation process, while leader can completely process. Open-loop equilibrium considered. The first solve optimal control problem partial observation, maximum principle and verification theorem are obtained. Then turn...

This work deals with subsidy transfer from a manufacturer to a retailer through the distributor in cooperative advertising. While the retailer engages in local advertising, the manufacturer indirectly participates in retail advertising using advertising subsidy which is given to the distributor, who in turn transfers it to the retailer. The manufacturer is the Stackelberg game leader; the distr...

This paper considers the advertising, pricing, and service decisions simultaneously to coordinate the supply chain with a manufacturer and a retailer. The amount of market demand is influenced by advertising, pricing and service decisions. In this paper, three well-known approaches to the game theory, including the Nash, the Stackelberg-retailer, and the cooperative game are exploited to study ...

Interactions among selfish users sharing a common transmission channel can be modeled as a noncooperative game using the game theory framework. When selfish users choose their transmission probabilities independently without any coordination mechanism, Nash equilibria usually result in a network collapse. We propose a methodology that transforms the noncooperative game into a Stackelberg game. ...

With the rapid development of electronic commerce, many manufacturers choose to establish dualchannel supply chains. To promote sales, the manufacturer in a dual-channel supply chain usually invests in national advertising and provides support to the retailer who promotes the goodwill through local advertisement. In our research, we use a Stackelberg differential game theoretic model to show th...

This paper is concernedwith a leader–follower stochastic differential gamewith asymmetric information, where the information available to the follower is based on some sub-σ -algebra of that available to the leader. Such kind of game problem has wide applications in finance, economics and management engineering such as newsvendor problems, cooperative advertising and pricing problems. Stochasti...