![]() Of course, this doesn’t guarantee whether it is a good model or not the assumption has to be critically evaluated based on the criteria discussed in the previous chapter.Īnyway, dynamical systems can be described over either discrete time steps or a continuous time line. If you assume that individuals make decisions always perfectly rationally, then the decision making process becomes deterministic, and therefore the interactions among them may be modeled as a deterministic dynamical system. Having said that, we can still use eigenvalues and eigenvectors to conduct a linear stability analysis of nonlinear systems, which is an analytical method to determine the stability of the system at or near its equilibrium point by approximating its dynamics around that point as a linear dynamical system (linearization). But what about the last example? Could human behavior be modeled as a deterministic dynamical system? The answer depends on how you formulate the model using relevant assumptions. Here are the main equations you can use to analyze situations with constant acceleration. The first three examples sound legitimate, as those are systems that typically appear in physics textbooks. ![]() ![]() \)Ī dynamical system is a system whose state is uniquely specified by a set of variables and whose behavior is described by predefined rules.Įxamples of dynamical systems include population growth, a swinging pendulum, the motions of celestial bodies, and the behavior of “rational” individuals playing a negotiation game, to name a few. ![]()
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