In this paper we consider the discounted linear quadratic differential game for descriptor systems that have an index larger than one. We derive both necessary and sufficient conditions for existence of an open-loop Nash (OLN) equilibrium. In a small macro-economic stabilization game we...

In this note we present both necessary and sufficient conditions for the existence of a linear static state feedback controller if the system is described by an index one descriptor system. A priori no definiteness restrictions are made w.r.t. the quadratic performance criterium. It is shown...

In this note we consider the static output feedback linear quadratic control problem. We present both necessary and sufficient conditions under which this problem has a solution in case the involved cost depend only on the output and control variables. This result is used to present both...

In this paper, we analyse a continuous time version of Fish Wars with the infinite time horizon and state dependent constraints on controls. We calculate the social optimum and a Nash equilibrium which always leads to the depletion of the resource even if the social optimum results in the...

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 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)...

Firms frequently utilize multiple communications instruments as part of their marketing campaign. Interactions between these instruments suggest that firms should apply Integrated Marketing Communications (IMC) to benefit from the synergies. We review different IMC models and then present a...

Given an arbitrary black-box strategy for the Iterated Prisoner's Dilemma game, it is often difficult to gauge to which extent it can be exploited by other strategies. In the presence of imperfect public monitoring and resulting observation errors, deriving a theoretical solution is even more...

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...

This work is based on a differential game proposed by Kelvin Lancaster. The game between two agents called workers and capitalists is based on the accumulation and redistribution of benefits among social classes concluding that cooperative outcomes outperform non-cooperative. This approach...