William Klein, Boston University
“The relation between economic growth and economic equality”

It is often said that “A rising tide raises all boats.” That is, economic growth may not benefit all individuals equall, but all elements of society benefit from the growth. However, the the data for the last forty years implies that despite a roughly three percent annual growth in the GDP, many people have seen their net worth decline, while others have enjoyed a large increase. By using simple models we found an interesting connection between the distribution of the growth in wealth to both the increase and/or decline in the worth of individuals as well as the existence of economic mobility. We also found that as the distribution of the growth changes, there exists a phase transition between a society where all individuals see an increase in their wealth to one where only the wealthiest see their wealth grow.