We build up a differential game to investigate the interplay between the quality of health care and the presence of an evolving disease in a duopoly where patients are heterogeneous along the income dimension. We prove unicity, stability and perfection of the open-loop Nash solution. Moreover,...

In a Cournot duopoly, if only one firm hires a manager while the other remains entrepreneurial, the Cournot-Stackelberg equilibrium emerges, with the managerial firm as the leader. This happens under at least three different delegation schemes. We illustrate the different meachanisms driving...

We investigate the possibility for two vertically related firms to at least partially collude on the wholesale price over an in.nite horizon to mitigate or eliminate the e¤ects of double marginalisation, thereby avoiding contracts which might not be enforceable. We characterise alternative...

The optimal design of two-part tariffs is investigated in a dynamic model where two firms belonging to the same supply chain invest in R&D activities to increase the quality of the final product. It is shown that the replication of the vertically integrated monopolist's performance can be...