In this paper we review some basic results on linear quadratic differential games. We consider both the cooperative and non-cooperative case.For the non-cooperative game we consider the open-loop and (linear) feedback information structure. Furthermore the effect of adding uncertainty is...

In this paper we review a number of algorithms to compute Nash equilibria in deterministic linear quadratic differential games. We will review the open-loop and feedback information case. In both cases we address both the finite and the infinite-planning horizon

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...

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...

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...

In this paper we do a comprehensive analysis of the model of oligopoly with sticky prices with full analysis of behaviour of prices outside its steady state level in the infinite horizon case. An exhaustive proof of optimality is presented in both open loop and closed loop cases

Sequential search problems such as secretary problems can be extended to a natural zero-sum two-player game where the Decision Maker faces an opponent with a similar move set. This paper analyzes the game for a sequential search problem known as the Cayley-Moser problem, which falls under the...

In the research presented in this paper, we analyse a model of Fish Wars, first introduced by Levhari and Mirman, restricted to finite time horizon. We study it both by analytic and numerical methods and compare results. Our study suggests possibility of using numerical methods for dynamic games...

In this paper we try to quantify/measure the main factors that influence the equilibrium outcome and pursued strategies in a simplistic model for the use of fossil versus green energy over time. The model is derived using the standard Solow macro-economic growth model in a two-country setting...

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...