Innovations in consumer products frequently rely on technological advances across multiple tiers in a supply chain. Considering the consumer market demand and downstream investment conditions as input, we model a game in a two-tier supply chain where downstream firms choose to adopt different...

This note analyzes in a fishery management problem the effects of relaxing one of the usual assumptions in the literature of dynamic games. Specifically, the assumption that players restrict to strategies that stabilize the system. Previous works in the literature have shown that feedback Nash...

This paper develops a framework to study general equilibrium implications for an economy in which agents are allowed to have dynamically inconsistent time and risk preferences. This framework accommodates, but is not limited to, the following settings: (1) non-exponential discounting; (2)...

This paper presents a simple Ramsey-type model example where two infinitely-living agents have same utility function except for time preference, and shows that equilibrium is indeterminate that is to be interpreted as being non-existent. The issues regarding New Keynesian transversality...

In this paper, which is a continuation of a previously published discrete time paper, we study a class of continuous time stochastic control problems which, in various ways, are time inconsistent in the sense that they do not admit a Bellman optimality principle. We study these problems within a...

In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon for descriptor systems of index one. The performance function is assumed to be indefinite. We derive both necessary and sufficient conditions under which this game has...

In this note we consider the non-cooperative linear feedback Nash quadratic differential game with an infinite planning horizon. The performance function is assumed to be indefinite and the underlying system affine. We derive both necessary and sufficient conditions under which this game has a...

We consider optimal behavior in a class of spatial-dynamic economic problems related to a negative externality with stock effects, via the development of a dynamic, non-cooperative game. The feedback Nash equilibrium response functions are parameterized based on an invasive weed faced by western...

In this paper we consider the linear quadratic differential game for descriptor systems that have index one. We derive both necessary and sufficient conditions for existence of an open-loop Nash equilibrium

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...