The ‘Troubling Tradeoffs’ Paradox and a Resolution
发现人类发展指数（HDI）和Chakravarty指数之间存在悖论：后者权衡更合理但排名不如前者。通过识别有问题的公理并移除，提出构建更直观权衡和排名的新方法。
Ravallion ( ) argues that the Human Development Index ( HDI ) embeds questionable tradeoffs between the dimensions used to compute the index. To alleviate these problems he proposes the adoption of one of the indices developed by Chakravarty ( ). In this paper I identify the following paradox: while the Chakravarty indices clearly exhibit more sensible tradeoffs than the HDI , the HDI produces more sensible rankings than the Chakravarty indices. To solve the paradox I identify the axioms behind each methodology responsible for the unintuitive tradeoffs and rankings and illustrate how to develop an index with these questionable axioms removed. This approach can result in methodologies that exhibit more intuitive tradeoffs by design, as it seeks inputs from the public as to what those tradeoffs ought to be, and produces rankings that are more in line with what the HDI wishes to measure: human development and capabilities, as conceptualized by Sen ( ).