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...

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...

My assignment for this lecture is to discuss applications of optimal control theory to Management Science problems. Since the field of Management Science encompasses production, finance, and marketing as its main functional areas which themselves are rather vast, it will not be possible to...

This paper considers an optimal control problem for the dynamics of the Nerlove-­Arrow advertising model, the optimal control being the rate of advertising expenditure required to maximize the present value of net profit streams (or, sales) over a finite horizon subject to a budget constraint....

Several nonlinear stochastic models are developed for a dynamic profit-maximizing firm with respect to its price and (possibly) advertising decisions under threat of entry. The optimal price ­advertising policies for these models are characterized by the use of the Maximum Principle. While the...

Cooperative advertising is a key incentive offered by a manufacturer to influence retailers' promotional decisions. We study cooperative advertising in a dynamic retail duopoly where a manufacturer sells his product through two competing retailers. We model the problem as a Stackelberg...

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...

We propose a model to assess the value of a distributor in a dynamic stochastic cooperative advertising supply chain in which a manufacturer wholesales its product to the distributor who in turn sells it to a retailer. Moreover and importantly, the distributor also intermediates the pricing and...