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...

This paper studies a robust portfolio choice problem with return predictability and price impacts in continuous time. Asset returns are modeled by some stochastic factors and trades incur both transient and permanent price impacts. Assuming ambiguity aversions toward asset returns and...

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 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...