How should forward-looking managers plan advertising if they envision a product-harm crisis in the future? To address this question, we propose a dynamic model of brand advertising in which, at each instant, a non-zero probability exists for the occurrence of a crisis event, which damages the...

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...

Extant models assume that awareness decline commences instantly. In contrast, we incorporate the possibility that awareness declines with a delay due to the memory for advertisements. To this end, we use delay differential equations to understand the evolution of awareness in the presence of ad...

Extant models posit that awareness declines immediately and gradually after the cessation of advertising, whereas anecdotal evidence from managers suggests awareness stays constant for a while and then decays rapidly. This pattern arises because consumers remember advertisements for a finite...