We consider two companies that are competing for orders. Let X1(n) denote the number of orders processed by the first company at time n, and let τ(k) be the first time that X1(n)

In this work, we reconsider the dynamics of a few versions of the classical Samuelson's multiplier-accelerator model for national economy. First we recall that the classical one with constant governmental expenditure, represented by a linear second-order difference equation, is able to generate...

In this work, we reconsider the dynamics of a few versions of the classical Samuelson’s multiplier-accelerator model for national economy. First we recall that the classical one with constant governmental expenditure, represented by a linear second-order difference equation, is able to...

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...

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...