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Fractal Poverty Traps

Model Type
SES Library XPP model

The dynamic model for poverty traps contains parameters as government policies and technologies, and variables such as income, expenditures, assets holdings and anthropometric status. This dynamic model for poverty traps offers a new perspective by showing the existence of multiple stable equilibria, which implies that there's one unstable dynamic equilibria. At this unstable equilibria, any little shock in the system will cause a switch to state equilibrium. Different to the standard economic growth model, the dynamic model offers a new perspective where multiple equilibria exists, changing the shape of the curve and offering stable dynamic equilibria at high and low levels of welfare. In the middle of both equilibria there is an unstable equilibria, a critical threshold, that may be seen as a saddle (to get to a higher welfare level) or a sink (to be stuck in lower levels of welfare). The importance of this model relies in the effects of effective policies that may help to originate that little shock that will contribute to solve the big challenge of reducing world's poverty.

Multiple equilibria

Shows multiple equilibria

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No state variables defined.

No parameters defined.

$$w_{t+1} = a+\frac{w_{t}^3}{b^3+w_{t}^3}\r $$
poverty_trap.ode
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Download Source File (poverty_trap.ode)

The source code file can be used with XPP/XPPAUT or other simulation tools.

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