This book honors the memory of Tony Atkinson, who made significant contributions to the rigorous study of income inequality, poverty, and redistribution. These essays presented, covering a span of over 30 years of research and scholarship, have been at the forefront of distributional analysis, and many of them are of prime importance for contemporary developments in the real-valued measurement of poverty and inequality, with particular reference to the concepts of fuzzy poverty assessment, vulnerability, heterogeneity/multidimensionality, unit consistency, sub-group decomposability, and dominance criteria. While all of these articles have been previously published-singly or with co-authorship-in a number of professional journals or distinguished edited volumes, this book is greatly enriched by a substantial introductions by the authors, which place the contributions in context, highlights their inter-connectedness, and relates them to the work of Tony Atkinson and other scholars. This book is of intrinsic value to welfare analysts, as well as being a tribute to a very great scholar by a fellow economist.