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Introduction to mathematics of analyzing nonlinear dynamic models

Summary:
Economists have done dynamics very badly, from the bastardisation of the original Harrod unstable growth model by Hicks, through to today’s DSGE models which pretend that a saddle node equilibrium can be an attractor. This lecture uses basic mathematical techniques to show that “multiplier-accelerator trade cycle models” aren’t models at all, and explains the basics ...

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Economists have done dynamics very badly, from the bastardisation of the original Harrod unstable growth model by Hicks, through to today’s DSGE models which pretend that a saddle node equilibrium can be an attractor. This lecture uses basic mathematical techniques to show that “multiplier-accelerator trade cycle models” aren’t models at all, and explains the basics of working out the dynamical properties of low-order (3 or below) systems of nonlinear differential equations, using the classic Lotka-Volterra predator-prey model as an example. This lecture is a prelude to exploring the dynamics of my model of Minsky’s Financial Instability Hypothesis.


Steve Keen
Steve Keen (born 28 March 1953) is an Australian-born, British-based economist and author. He considers himself a post-Keynesian, criticising neoclassical economics as inconsistent, unscientific and empirically unsupported. The major influences on Keen's thinking about economics include John Maynard Keynes, Karl Marx, Hyman Minsky, Piero Sraffa, Augusto Graziani, Joseph Alois Schumpeter, Thorstein Veblen, and François Quesnay.

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