Predicting Wealth Distribution from Wealth Dynamics
An economic research team studies a community where poverty seems persistent for some, while others escape it. They create a model that predicts an individual's wealth in the next year based on their current wealth. The model shows the following:
- Individuals starting with less than $1,000 in assets tend to see their wealth decline over time.
- Individuals starting with more than $1,000 in assets tend to see their wealth increase over time.
- An individual starting with exactly $1,000 in assets will see no change in their wealth, but any small shock (positive or negative) will push them onto one of the two paths described above.
If the researchers then surveyed the entire community and plotted a graph of the wealth distribution (i.e., how many people have a certain amount of wealth), what would you expect the graph to look like around the $1,000 mark? Justify your prediction.
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