On the Measurement of Inequality
TL;DR: In this paper, the problem of comparing two frequency distributions f(u) of an attribute y which for convenience I shall refer to as income is defined as a risk in the theory of decision-making under uncertainty.
About: This article is published in Journal of Economic Theory.The article was published on 1970-09-01. It has received 5002 citations till now. The article focuses on the topics: Income inequality metrics & Income distribution.
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TL;DR: In this article, the authors show how prudence and temperance can be fully characterized by a preference relation over these lotteries, and they show that the direction of preference for a particular class of lottery pairs is equivalent to signing the nth derivative of the utility function.
Abstract: This paper examines preferences toward particular classes of lottery pairs. We show how such concepts as prudence and temperance can be fully characterized by a preference relation over these lotteries. If preferences are defined in an expected-utility framework with differentiable utility, the direction of preference for a particular class of lottery pairs is equivalent to signing the nth derivative of the utility function. What makes our characterization appealing is its simplicity, which seems particularly amenable to experimentation.
592 citations
576 citations
TL;DR: The subject of social choice includes within its capacious frame various problems with the common feature of relating social judgments and group decisions to the views and interests of the individuals who make up the society or the group.
Abstract: The subject of social choice includes within its capacious frame various problems with the common feature of relating social judgments and group decisions to the views and interests of the individuals who make up the society or the group. Some challenges and foundational problems faced by social choice theory as a discipline are discussed. Social choice theory is a subject in which formal and mathematical techniques have been very extensively used. Voting-based procedures are entirely natural for some kinds of social choice problems, such as elections, referendums, or committee decisions. They are, however, altogether unsuitable for many other problems of social choice. Impossibility results in social choice theory - led by the pioneering work of Arrow (1951) - have often been interpreted as being thoroughly destructive of the possibility of reasoned and democratic social choice, including welfare economics. That view is argued against.
573 citations
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TL;DR: The 2010 Human Development Report continues the tradition of pushing the frontiers of development thinking as discussed by the authors, with an introductory reflections by the Nobel Prize-winning economist Amartya Sen, who worked with series founder Mahbub ul Haq on the conception of the first human development report and contributed to and inspired many successive volumes.
Abstract: The first Human Development Report in 1990 opened with the simply stated premise that has guided all subsequent Reports: "People are the real wealth of a nation." By backing up this assertion with an abundance of empirical data and a new way of thinking about and measuring development, the Human Development Report has had a profound impact on development policies around the world.This 20th anniversary edition features introductory reflections by the Nobel Prize-winning economist Amartya Sen, who worked with series founder Mahbub ul Haq on the conception of the first Human Development Report and contributed to and inspired many successive volumes.The 2010 Report continues the tradition of pushing the frontiers of development thinking. For the first time since 1990, the Report looks back rigorously at the past several decades and identifies often surprising trends and patterns with important lessons for the future. These varied pathways to human development show that there is no single formula for sustainable progress — and that impressive long-term gains can and have been achieved even without consistent economic growth.Looking beyond 2010, this Report surveys critical aspects of human development, from political freedoms and empowerment to sustainability and human security, and outlines a broader agenda for research and policies to respond to these challenges.
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TL;DR: In this article, a measure of risk aversion in the small, the risk premium or insurance premium for an arbitrary risk, and a natural concept of decreasing risk aversion are discussed and related to one another.
Abstract: This paper concerns utility functions for money. A measure of risk aversion in the small, the risk premium or insurance premium for an arbitrary risk, and a natural concept of decreasing risk aversion are discussed and related to one another. Risks are also considered as a proportion of total assets.
5,207 citations
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"On the Measurement of Inequality" refers background in this paper
...3 See Rothschild and Stiglitz [13], Hadar and Russell [ 5 ], and Hanoch and Levy [6]....
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1,738 citations
"On the Measurement of Inequality" refers methods in this paper
...Then by applying the results of Pratt [l 11, Arrow [ 2 ], and others, we can see that this requirement (which may be referred to as constant (relative) inequality-aversion) implies that U(y) has the form...
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1,544 citations
TL;DR: In this paper, an analysis of the first step of the decision-making process of an individual decision maker among alternative risky ventures is presented, in terms of a single dimension such as money, both for the utility functions and for the probability distributions.
Abstract: Publisher Summary The choice of an individual decision maker among alternative risky ventures may be regarded as a two-step procedure. The decision maker chooses an efficient set among all available portfolios, independently of his tastes or preferences. Then, the decision maker applies individual preferences to this set to choose the desired portfolio. The subject of this chapter is the analysis of the first step. It deals with optimal selection rules that minimize the efficient set by discarding any portfolio that is inefficient in the sense that it is inferior to a member of the efficient set, from point of view of each and every individual, when all individuals' utility functions are assumed to be of a given general class of admissible functions. The analysis presented in the chapter is carried out in terms of a single dimension such as money, both for the utility functions and for the probability distributions. However, the results may easily be extended, with minor changes in the theorems and the proofs, to the multivariate case. The chapter explains a necessary and sufficient condition for efficiency, when no further restrictions are imposed on the utility functions. It presents proofs of the optimal efficiency criterion in the presence of general risk aversion, that is, for concave utility functions.
1,160 citations