Volume of the steady-state space of financial flows in a monetary stock-flow-consistent model

Aurélien Hazan (1)

1 SYNAPSE

We show that a steady-state stock-flow consistent macroeconomic model can be represented as a Constraint Satisfaction Problem (CSP). The set of solutions is a polytope, which volume depends on the constraints applied and reveals the potential fragility of the economic circuit, with no need to specify the dynamics. Several methods to compute the volume are compared, inspired by operations research methods and the analysis of metabolic networks, both exact and approximate. We also introduce a random transaction matrix, and study the particular case of linear flows with respect to money stocks.

Mots clés: convex polytope; finance; monte-carlo; constraint satisfaction; economics; physics and society; random network

Domaines: Physique et Société [physics.soc-ph]; Finance quantitative [q-fin.CP]

Aurélien Hazan. Volume of the steady-state space of financial flows in a monetary stock-flow-consistent model. 2015. ⟨hal-01250697v1⟩