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 analyzed the evolution of inequality in Poland during the economic transition that began in 1989-90 and found that social transfer mechanisms, including pensions, played an important role in mitigating increases in both overall inequality and poverty.
Abstract: This paper analyzes the evolution of inequality in Poland during the economic transition that began in 1989-90. Using micro data from the Household Budget Surveys, we find that, after a brief spike in 1989, income and consumption inequality actually declined to below pre-transition levels during 1990-92 and then increased gradually, rising only moderately above pre-transition levels by 1997. In sharp contrast, inequality in labor earnings increased markedly and consistently throughout the 1990-97 period. We find that social transfer mechanisms, including pensions, played an important role in mitigating increases in both overall inequality and poverty. We argue that, from a political economy perspective, transfer mechanisms were well-designed to reduce political resistance to market-oriented reforms in the early years of transition, paving the way for rapid growth. Finally, we provide cross-country evidence from the transition economies that is consistent with our interpretation of the Polish experience and is also consistent with recent work in growth theory which suggests that redistribution that reduces inequality can enhance growth.
132 citations
TL;DR: In this paper, quick response alarms, loaned to high-risk targets on a temporary basis, are proposed as a possible way forward for efficient crime prevention and offender detection in high-crime areas and in the period shortly after a crime.
Abstract: Revictimization or repeat victimization of people and places represent a large proportion of all victimization. Preventing revictimization may prevent a large proportion of all offenses. Repeat crimes are disproportionately likely in high-crime areas and in the period shortly after a crime-suggesting that efficient crime prevention might be achieved through rapid, transitory responses to victimization. The extent of revictimization is typically underestimated. Knowledge of revictimization patterns may provide bases for more effective prevention of domestic violence, burglary, car crimes, and other offenses. Quick response alarms, loaned to "high-risk" targets on a temporary basis, are one possible way forward for efficient crime prevention and offender detection.
132 citations
TL;DR: In this paper, a method for adjusting the HDI to reflect the distribution of human development achievements across the population, and across dimensions, using an inequality measure from the Atkinson family is proposed.
Abstract: This paper proposes a method for adjusting the HDI to reflect the distribution of human development achievements across the population, and across dimensions, using an inequality measure from the Atkinson family. We begin with a discussion of the proposed indices in an idealized setting where variables and their scales have been identified and the data are available. We then address the practical issues that arise when applying these methods to real data. The final section presents and evaluates another related approach.
131 citations
TL;DR: In this article, individual preferences for risk and inequality are measured through choices between imagined societies and lotteries, and the median relative risk aversion, which is often seen to reflect social inequality aversion, is between 2 and 3.
Abstract: Individuals’ preferences for risk and inequality are measured through choices between imagined societies and lotteries. The median relative risk aversion, which is often seen to reflect social inequality aversion, is between 2 and 3. Most people are also found to be individually inequality-averse, reflecting a willingness to pay for living in a more equal society. Left-wing voters and women are both more risk and inequality-averse than others. The model allows for non-monotonic SWFs, implying that welfare may decrease with an individual’s income at high-income levels, which is illustrated in simulations based on the empirical results.
131 citations
TL;DR: In this article, the authors proposed to evaluate tax reforms by aggregating money metric losses and gains of different individuals using generalized social marginal welfare weights, which can help reconcile discrepancies between the welfarist approach and actual tax practice.
Abstract: This paper proposes to evaluate tax reforms by aggregating money metric losses and gains of different individuals using "generalized social marginal welfare weights." Optimum tax formulas take the same form as standard welfarist tax formulas by simply substitut- ing standard marginal social welfare weights with those generalized weights. Weights directly capture society's concerns for fairness without being necessarily tied to individual utilities. Suitable weights can help reconcile discrepancies between the welfarist approach and actual tax practice, as well as unify in an operational way the most prominent alternatives to utilitarianism such as Libertarianism, equality of opportunity, or poverty alleviation. (JEL D60, D63, H21, H23, I38)
131 citations
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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