Cooperative advertising is an important incentive offered by a manufacturer to influence retailers' promotional decisions. We analyze a retail market duopoly where one or both of competing retailers are supported by the manufacturer in their advertising costs. We model the problem as a...

This paper considers the problem of optimizing the institutional advertising expenditure for a firm which produces two products. The problem is formulated as a minimum-time control problem for the dynamics of an extended Vidale-Wolfe advertising model, the optimal control being the rate of...

This paper considers an optimal control problem for the dynamics of a contagion model, the optimal control being the rate of advertising expenditure that maximizes the present value of net profit streams over an infinite horizon. By using a Green's theorem approach, it is shown that there are...

We examine an oligopoly model of advertising competition where each firm's market share depends on its own and its competitors' advertising decisions. A differential game model is developed and used to derive the closed-loop Nash equilibrium under symmetric as well as asymmetric competition. We...

A model of new-product adoption is proposed that incorporates price and advertising effects. An optimal control problem that uses the model as its dynamics is solved explicitly to obtain the optimal price and advertising effort over time. The model has a great potential to be used in obtaining...

Firms that want to increase the sales of their brands through advertising have the choice of capturing market share from their competitors through brand advertising, or increasing primary demand for the category through generic advertising. In this paper, differential game theory is used to...

We analyze optimal advertising spending in a duopolistic market where each firm's market share depends on its own and its competitor''s advertising decisions, and is also subject to stochastic disturbances. We develop a differential game model of advertising in which the dynamic behavior is...

Problem definition: We investigate the joint advertising-mode-choice, time-allocation, and pricing policies for different types of wanghongs under short-video time constraint. Wanghong is the Chinese term for an internet celebrity or a social influencer who produces and uploads short videos to...

We consider a dynamic Stackelberg game between a manufacturer and a retailer facing a randomly changing market environment over time modeled as a Markov process. The manufacturer announces the wholesale price and a cooperative (co-op) advertising subsidy, and the retailer sets the retail price...

We examine an oligopoly model of advertising competition where each firm's market share depends on its own and its competitors' advertising decisions. A differential game model is developed and used to derive the closed-loop Nash equilibrium under symmetric as well as asymmetric competition. We...