This paper considers an optimal control problem with two state variables for the dynamics of the Nerlove-Arrow advertising model. The optimal control is the rate of advertising expenditure required to maximize the present value of net profit streams over an infinite horizon subject to a...

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...

Supply chains today routinely use third parties for many strategic activities, such as manufacturing, R&D, or software development. These activities often include relationship-specific investment on the part of the vendor, while final outcomes can be uncertain. Therefore, writing complete...

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...

Channel sharing is an important marketing strategy for giant retailers who sell their own store brands and resell national brands for cooperative manufacturers simultaneously. To expand their market and increase profitability, national brand manufacturers may consider entering the online market...

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...

A maximum principle for a class of discrete systems with lags is established constructively within the framework of discrete optimal control theory. An application of the maximum principle to a problem in advertising concludes the paper.PDF Version: Sethi, S.P. and Burdet, C.-A., "On the Maximum...

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 last ten years have seen a growing number of optimal control theory applications to the field of advertising. This paper presents an up-to-date survey of dynamic optimal control models in advertising that have appeared in the literature.The basic problem underlying these models is an optimal...