The Samuelson's model as a singular discrete time system

TL;DR

This paper reformulates Samuelson's economic model as a singular discrete time system, providing deeper insights into its structure and solutions, enhancing understanding of the model's dynamics.

Contribution

The paper introduces a novel reformulation of Samuelson's model as a singular discrete time system, offering new analytical perspectives.

Findings

Better understanding of the model's structure

Deeper analytical results on solutions

Enhanced insights into economic dynamics

Abstract

In this paper we revisit the famous classical Samuelson's multiplier-accelerator model for national economy. We reform this model into a singular discrete time system and study its solutions. The advantage of this study gives a better understanding of the structure of the model and more deep and elegant results.