Dynamic Economic Theory

This book is intended to provide economists with mathematical tools necessary to handle the concepts of evolution under uncertainty and adaption arising in economics, pursuing the Arrow-Debreu-Hahn legacy. It applies the techniques of viability theory to the study of economic systems evolving under contingent uncertainty, faced with scarcity constraints, and obeying various implementation of the inertia principle. The book illustrates how new tools can be used to move from static analysis, built on concepts of optima, equilibria and attractors to a contingent dynamic framework.

Inhalt
Evolutionary Perspective.- Decentralized Ecodynamics: a Manifesto.- Other Miscellaneous Illustrations.- Ecodynamics.- Dynamical Resource Allocation.- Dynamical Economies.- Designing Dynamical Economies.- Viability Kernels and Capture Basins.- Bounded Inflation and Heavy Evolution.- Dynamical Inequalities.- Dynamical Games.- The Mathematical Tool Box.- Pseudo-Inverses and Tensor Products.- Set-Valued Analysis.- The Viability and Invariance Theorems.- Optima.- Equilibria.- Stochastic Viability.