"Problems Book to Accompany Mathematics for Economists" is intended to complement any course in quantitative methods in economics, mathematical economics for undergraduate students or introductory mathematical economics for graduate students. It is aimed as an inexpensive supplement to nearly...

In many countries, inducing large-scale technological changes has become an important policy objective, as in the context of climate policy or energy transitions. Such large-scale changes require the development of strongly interlinked technologies. But current economic models have little...

This paper provides a concise guide to dynamic optimization with an integral treatment on various optimal control and dynamic programming problems. It presents essential theorems and methods for obtaining and characterizing solutions to these problems. The paper discusses Pontryagin's maximum...

We study a class of differential public good games and show how static public good games can naturally be embedded into this class. This allows us to compare the outcomes in the static and the dynamic case. In the dynamic case we study the feedback Nah-equilibria and compare these to the Nash...

In this article we derive minimal conditions to determine the existence of rational expectations solutions obtained using a Generalized Bzout Theorem. We demonstrate that as long as the matrix polynomial derived from the model is regular, then a monic polynomial factor always exists and from...

The aim of this paper is to develop a continuous time general equilibrium model for a two country Lucas type economy. The model assumes that the output in the two countries follows a jump-diffusion stochastic process. We obtain the results concerning the evaluation of financial assets, the...

This paper proposes a model for optimizing the duration of transition under the assumption that the government main goal is to minimize the social cost of reforms. At the beginning of transition there are two main sectors in the economy: an old technology sector - mainly the public one - where...

Many aspects of social welfare are intrinsically multidimensional. Composite indices at-tempting to reduce this complexity to a unique measure abound in many areas of economics and public policy. Comparisons based on such measures depend, sometimes critically, on how the different dimensions of...

Trust and trust management represent the very foundations of Computer and Network Security Protocols enabling all cyber activities. The recent spate of national and global high-impact cyber security compromises threats, vulnerabilities and exposures leads to fundamental questioning of trust as...