Very Simple Mathematical Model of MMT (Modern Monetary Theory)

Understanding Mathematical Theory Formation via Theory Intersections in Mmt

We look at the concept of theory intersections inMmt, as a way to refactor theories in formal libraries, potentially yielding new interesting mathematical theories in the process. We argue, that theory intersections are a historically validated method to do so and present a concrete implementation in Mmt. Introduction An important driver of mathematical development is the discovery of new mathe...

Looking Forward – Looking Backward A Very Simple Mathematical Model for Very Complex Social Systems

Partition theory: a very simple illustration.

We illustrate the main features of a recently proposed method based on ensemble density functional theory to divide rigorously a complex molecular system into its parts (J. Phys. Chem. A 2007, 111, 2229). The illustrative system is an analog of the hydrogen molecule for which analytic expressions for the densities of the parts (hydrogen "atoms") are found along with the "partition potential" th...

A Modern Mathematical Theory of Co-operating State Machines

Valmari, Antti (2005). A Modern Mathematical Theory of Co-operating State Machines In Proceedings of the Algorithmic Information Theory Conference, Vaasa 2005. Proceedings of the University of Vaasa,Reports 124, 101–214. Eds S. Hassi, V. Keränen, C.-G. Källman, M. Laaksonen, and M. Linna. In this work we apply theoretical results from so-called process algebras to state machines, and develop th...

A Simple Model of Optimal Monetary Policy with Financial Constraints

Recent experience suggests that the operation of monetary policy in emerging market economies is severely limited by the presence of financial constraints. This is seen in the tendency to follow contractionary monetary policy during crises, and the observation that these countries pursue much more stable exchange rates than do high income advanced economies, despite having a more volatile exter...