Coordinating static and dynamic supply chains with advertising through two-part tariffs

Zaccour (2008) investigates the behaviour of a marketing channel where firms invest in advertising to increase brand equity, showing that an exogenous twopart tariff cannot be used to replicate the vertically integrated monopolist’s performance. I revisit the same model proving the existence of a multiplicity of franchising contracts taht can do the job. In particular, I set out by illustrating an optimal two-part tariff specified as a linear function of the upstream firm’s advertising effort, performing this task both in the static and in the dynamic game. then, I show that an analogous result emerges (i) in the static game by writing the fixed component of the two-part tariff as a non-linear function of the manufacturer’s advertising effort; and (ii) by using a contract which is linear in the brand equity, in the dynamic case.