The developing world has made considerable progress against absolute poverty in aggregate terms, but with uneven progress across nations and regions. There are also rising concerns about inequality in many nations, and (related) concerns that the global growth processes have not been sufficiently inclusive. There is a puzzling aspect in all of this: while the overall incidence of poverty is falling in the developing world, it is not falling any faster in its poorest nations. In short, we do not see poverty convergence. That is puzzling if we accept two widely-held “stylized facts” about economic development, namely that there is an “advantage of backwardness” – higher growth rates in nations starting out with a low mean – and that there is an “advantage of growth,” whereby a higher mean income tends to come with a lower incidence of absolute poverty. The advantage of backwardness should mean that nations starting out with a low mean income and hence, high incidence of poverty should see a higher subsequent growth rate and consequently, higher pace of poverty reduction. However, this is not evident in the data. This talk will review the evidence on this issue and suggest a solution to the puzzle – a solution that throws new light on the importance of addressing inequality to making growth more pro-poor. Consistently with theoretical models of economic growth incorporating borrowing constraints, the talk will suggest that there is a direct adverse effect on the consumption growth process of high initial poverty incidence at a given initial mean consumption. A high incidence of poverty also entails a lower subsequent rate of progress against poverty at any given growth rate. Thus, for many poor nations, the growth advantage of starting out with a low mean income is lost due to a dynamic handicap associated with the high initial incidence of poverty. This dynamic “disadvantage of poverty” appears to sit side-by-side with other factors impeding poverty reduction, such as human underdevelopment and policy distortions. These new research findings point to the importance of both redistributive policies in poor nations and efforts to make markets work better for poor people.