This paper introduces the notion of mixed leadership in non-zero-sum differential games, where there is no fixed hierarchy in decision making with respect to the players. Whether a particular player is leader or follower depends on the instrument variable s/he is controlling, and it is possible...

Complex systems exposed to pollution may suddenly and permanently shift to a dangerous regime. This paper studies a dynamic game among countries that face the prospect of such a shift. Each country derives some flow utility from its own emissions, which are chosen unilaterally. But flow...

We extend the contingent claims framework for the levered firm in explicitly modeling the resolution of financial distress under formal bankruptcy as a non-cooperative game between claimants under the supervision of the bankruptcy judge. The identity of the class of claimants proposing the first...

Stackelberg differential game models have been used to study sequential decision making in non-cooperative games in diverse fields. In this paper, we survey recent applications of Stackelberg differential game models to the supply chain management and marketing channels literatures. A common...

I study an economy where oligopolistic firms establish in-house R&D programs to produce a continuous flow of cost-reducing (incremental) innovations. The scale of firms' R&D operations determines the rate of productivity growth. I first study the role of concentration, firm size, and demand,...

In this paper, we investigate the optimal taxation policy in a differential oligopoly game where the competing firms share the access to a productive renewable resource. We show that, in a linear Feedback Nash Equilibrium of the game, a linear Markov tax, imposed on the output, and specified as...

In economics, the standard approach to language is that talk is cheap. Here, instead, language is a social convention that affects utility. Unless language is used in its ordinary sense, it cannot help to coordinate actions because there is no way of decoding it. This points to a unique...

A Nash equilibrium can also be seen as a Cournot-Nash equilibrium, though this is debated because Cournot provided a specific application, not a general formulation. In my view, another of Nash's fundamental contributions stands out when contrasting him to Cournot. Cournot treated economic...