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In several cases, the agents are assumed to follow optimising behaviours given their available information, which can pose an interesting problem by itself. In many other cases, aligned with a bounded rationality approach, the agents are assumed to follow some "simple", "sensible" or "logically appealing" learning, imitation, adaptation or reproduction rule.
Most of the models lead to deterministic equations, but one can also find examples of continuous-time stochastic dynamic modelling as in "Political Accountability: A Stochastic Control Approach" by Longo and Mainini. An analysis of the dynamics of the obtained system of equations. In general, the dynamic system of equations depends on some control parameter s and the study characterises the existence and the stability of fixed points, limit cycles and quasi periodic or chaotic orbits as a function of the control parameters, showing trajectories and bifurcation diagrams.
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Most often, the analytical results where possible are complemented and extended with numerical simulations. A discussion of the implications and the relevance of the findings made about the dynamics of the model.
Among the papers with a more theoretical or methodological focus, Matsumoto and Szidarovszky "Delay Differential Nonlinear Economic Model" present theoretical findings and illustrative examples on the effects of information delays on the behaviour of dynamic economic systems, and Huang "Issues in Strategy-Switching Dynamics" analyses a particular revision protocol in finite populations in an evolutionary game theory context.
In summary, the book is specially interesting for researchers in economics and in the social sciences who want to approach and explore the field of applications of non linear dynamics, who are looking for ideas to develop new papers in this field, or who would like to have at their disposal a varied collection of practical methodological examples of analysis of models made up of systems of non linear difference or differential equations.
Time-Varying Economic Dominance Through Bistable Dynamics
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