Stackelberg differential game models have been used to study sequential decision making in non-cooperative 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...

This paper analyzes dynamic advertising and pricing policies in a durable-good duopoly. The proposed infinite-horizon model, while general enough to capture dynamic price and advertising interactions in a competitive setting, also permits closed-form solutions. We use differential game theory to...

The presentation of Table 2 in the original version of this article (quot;A Survey of Stackelberg Differential Game Models in Supply and Marketing Channelsquot;, Journal of Systems Science and Systems Engineering, Vol. 16, No. 4, pp., 385-413, 2007) contained a few typos. The corrected Table 2...

This paper introduces the notion of mixed leadership in non-zero-sum differential games, where there is no fixed hierarchy in decision making with respect to the players. Whether a particular player is leader or follower depends on the instrument variable s/he is controlling, and it is possible...

We analyze the strategic behavior of firms when demand is determined by a rule of thumb behavior of consumers. We assume consumer dynamics where individual consumers follow simple behavioral decision rules governed by imitation and habit as suggested in consumer research. On this basis, we...

Cooperative advertising is an important mechanism used by manufacturers to influence retailers' promotional decisions. In a typical arrangement, the manufacturer agrees to reimburse a fraction of a retailer's advertising cost, known as the subsidy rate. We consider a case of new product adoption...

This study investigates the strategic effect of return policies in a dual-channel supply chain, in which a manufacturer can sell products directly to end customers and indirectly via an independent retailer. The manufacturer decides whether to implement a return policy in either the direct or...

A nearly explicit feedback Stackelberg-Nash equilibrium is obtained in a dynamic distribution channel consisting of a manufacturer and two competing asymmetric retailers engaged in promoting the manufacturer's product to be sold through the retailers. The manufacturer decides on its support for...

Over the last two decades, differential game (DG) models have been used extensively to study such issues in dynamic environments as competitive advertising and pricing for new products in the marketing literature, capacity investments in the energy industry, government's subsidy policy in new...

In this paper we characterize the feedback equilibrium of a general infinite-horizon Stackelberg-Nash differential game where the roles of the players are mixed. By mixed we mean that one player is a leader on some decisions and a follower on other decisions. We prove a verification theorem that...