Department of Economics. University of Melbourne. Melbourne Victoria 3010 Australia

This paper examines the Gini (1912) coefficient of concentration using the framework set out by Dalton (1920) for evaluating a measure of inequality. Particular attention is paid to limited distributions and the associated concept of 'perfect inequality'. It is argued that a rescaled version of the Gini coefficient may be desirable for distributions that are subject to limits which depart from the standard assumption of non-negativity. A scaling parameter is derived and the rescaled Ginin coefficient is used to analyse the inequality of wealth in Australia.