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 note we present as well necessary as sufficient conditions for existence of a Pareto optimum for general non-convex differential games. The obtained results are used to analyze the non-convex regular indefinite linear quadratic differential game. For the scalar case an algorithm is...

In this paper an algorithm is proposed to find an integral solution of (nonlinear) complementarity problems. The algorithm starts with a nonnegative integral point and generates a unique sequence of adjacent integral simplices of varying dimension. Conditions are stated under which the algorithm...

In this paper, which is a continuation of a previous discrete time paper, we develop a theory for 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 game...

This paper derives the dynamic implications for price setting in an Edgeworth oligoppoly game with N2 competitors. The impetus to the dynamic game are "conjectured" variations in the prices set by competing firms whereby each firm expresses its belief that a decrease in its own price will be met...

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...

We study a supply chain in which a consumer goods manufacturer sells its product through a retailer. The retailer undertakes promotional expenditures, uch as advertising, to increase sales and to compete against other retailer(s). The manufacturer supports the retailer’s promotional...

Outcomes of the shallow lake interest conflict are presented in a number of different contexts: quasi-static and dynamic social planning, and quasi-static one-shot and repeated non-cooperative play. As the underlying dynamics are non-convex, the analysis uses geometrical-numerical methods: the...

Outcomes of the shallow lake interest conflict are presented in a number of different contexts: quasi-static and dynamic social planning, and quasi-static one-shot and repeated non-cooperative play. As the underlying dynamics are non-convex, the analysis uses geometrical-numerical methods: the...

Markov perfection has become the usual solution concept to determine the non-cooperative equilibrium in a dynamic game. However, Markov perfection is a stronger solution concept than subgame perfection: Markov perfection rules out any cooperation in a repeated prisoners' dilemma game because the...