lpetrich
Contributor
What produces great economic inequality? It is far out of proportion to amount of work effort or amount of skill or amount of diligence or whatever.
Entrepreneurs, Chance, and the Deterministic Concentration of Wealth
What happens is that return on investment is some fraction of current capital, and if one works out how that behaves, one finds an exponential curve. Something like what Thomas Piketty has found.
For wealth W, its change is dW/dt = r*W for rate r, current wealth W, and time t. Solving this equation gives W = W0*exp(r*t)
There are modifications to this equation that one can put in, like a carrying capacity.
Luck may figure in another way. If one's business is small, it is more vulnerable to misfortune than a large business. One of your employees quits or gets sick, your car breaks down, etc. A large business can more easily survive such shocks.
Entrepreneurs, Chance, and the Deterministic Concentration of Wealth
The model does not require rich people to be super geniuses or super Stakhanovites, something that their defenders often claim about them.In many economies, wealth is strikingly concentrated. Entrepreneurs–individuals with ownership in for-profit enterprises–comprise a large portion of the wealthiest individuals, and their behavior may help explain patterns in the national distribution of wealth. Entrepreneurs are less diversified and more heavily invested in their own companies than is commonly assumed in economic models. We present an intentionally simplified individual-based model of wealth generation among entrepreneurs to assess the role of chance and determinism in the distribution of wealth. We demonstrate that chance alone, combined with the deterministic effects of compounding returns, can lead to unlimited concentration of wealth, such that the percentage of all wealth owned by a few entrepreneurs eventually approaches 100%. Specifically, concentration of wealth results when the rate of return on investment varies by entrepreneur and by time. This result is robust to inclusion of realities such as differing skill among entrepreneurs. The most likely overall growth rate of the economy decreases as businesses become less diverse, suggesting that high concentrations of wealth may adversely affect a country's economic growth. We show that a tax on large inherited fortunes, applied to a small portion of the most fortunate in the population, can efficiently arrest the concentration of wealth at intermediate levels.
What happens is that return on investment is some fraction of current capital, and if one works out how that behaves, one finds an exponential curve. Something like what Thomas Piketty has found.
For wealth W, its change is dW/dt = r*W for rate r, current wealth W, and time t. Solving this equation gives W = W0*exp(r*t)
There are modifications to this equation that one can put in, like a carrying capacity.
Luck may figure in another way. If one's business is small, it is more vulnerable to misfortune than a large business. One of your employees quits or gets sick, your car breaks down, etc. A large business can more easily survive such shocks.