In this chapter, we outline the reasons why economics has been concerned with non-linear dynamics, with a particular focus on business cycles and on economic growth. Using varying perspectives, we discuss the salient historical mathematical approaches to the problem and the results that were...

In this chapter, we describe growth and cycles in economics as a struggle between capitalists and workers. We first present the Phillips curve (which statistically relates unemployment with the rate of change of nominal wages) and then the Goodwin model. The latter reinterprets, in economical...

After having illustrated in Chap. 13 the Harrod’s model and a chaotic specification of it, in this Chapter we are going to prove that (1) real data could be obtained by a suitable calibration of model’s parameters, (2) the calibrated model confirms theoretical predictions (Orlando and Della...

The evaluation of economic development level is commonly measured by the growth rate of GDP. However, this single-dimensional measurement may cause potential issue to investigate sustainable economic development and growth model. An alternative framework is introduced to economic development...

The economic impact of Artificial Intelligence (AI) is studied using a (semi) endogenous growth model with two novel features. First, the task approach from labor economics is reformulated and integrated into a growth model. Second, the standard represen- tative household assumption is rejected,...

This paper assesses the role of financial variables in real economic fluctuations, in view of analysing the link between financial cycles and business cycles at the global level. A Global VAR modelling approach, which has been proved suitable for modelling country or regional linkages, is used...