This paper surveys both the theoretical and empirical economics literatures on nonlinearity, complex dynamics, and chaos. Unlike earlier survey papers, this one is written for professional researchers in the area and assumes relevant mathematical background. Unsolved problems and unresolved...

We discuss the problem known in economics as backward dynamics occurring in models of perfect foresight, intertemporal equilibrium described mathematically by <italic>implicit</italic> difference equations. In a previously published paper [<italic>Journal of Economic Dynamics and Control</italic> 31 (2007), 1633–1671], we...

In economic theory, there exist many important problems whose mathematical formulation is a function relating the current value of a certain state variable to its (accurately forecast) future value. The most widely studied class of such problems is the Overlapping generations (OLG) models in...