Some non monotone schemes for Hamilton-Jacobi-Bellman equations

We extend the theory of Barles Jakobsen to develop numerical schemes for Hamilton Jacobi Bellman equations. We show that the monotonicity of the schemes can be relaxed still leading to the convergence to the viscosity solution of the equation. We give some examples of such numerical schemes and show that the bounds obtained by the framework developed are not tight. At last we test some numerical schemes.Comment: 24 page

Monetary Policy: From Theory to Practices

The paper proposes an overview of the literature on monetary policy. It shows the influence of the debates in the theoretical literature on the actual implementation of policies, as well a the counter effect. The European Economic and Monetary Union (EMU) is largely studies a an exampe of this counter effect with regard to the study of the credibility concept in an open economy setting.

A Note on International Fiscal Policy Practices

The paper proposes an overview of the literature in fiscal policies as well as a comparative assessment in an international context. A large section addresses the specific question of the European fiscal rule, namely the Stability and Growth Pact (SGP).

A Note on the Anglo-Saxon and Continental Approaches to Europe: Identical in Spirit, not in Practice

The purpose of this note is to propose a breakdown of the European concept into different sub-categories, based upon the different stages of the European integration process. In doing so, it is easier to understand the political differences and debate between an allegedly Anglo-Saxon approach and a Continental one. This note challenges the usual definition of the Anglo-Saxon and Continental approaches, and highlights the usual misconceptions and misunderstandings of the European economic goal.Europe, EMU, EU, Schengen Convention, Anglo-Saxon approach, Continental approach

A Note on Post-Modern Monetary Policy

This paper surveys the roots of the modern literature on monetary policy, and illustrates the convergence that occurs between open-economy approaches and the micro foundations of monetary policy. From the Banking School versus Currency School debate to the “credibility versus flexibility” refinement, monetary policy has a long history of scholarly works. Although it may be hard to imagine that there is still room for innovations, the current developments of the literature on open-economy monetary policy seem to spawn a new and essential branch.: monetary policy, rules versus discretion, credibility versus flexibility, Banking School, Currency School