单调加法统计

IF 6.6 1区 经济学 Q1 ECONOMICS
Econometrica Pub Date : 2024-07-30 DOI:10.3982/ECTA19967
Xiaosheng Mu, Luciano Pomatto, Philipp Strack, Omer Tamuz
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引用次数: 0

摘要

期望值是描述性统计的一个例子,它在随机支配性方面是单调的,对于独立随机变量之和是可加的。我们提供了这种统计量的完整表征,并探讨了它在个人和群体决策模型中的一些应用。其中包括静态单调时间偏好的表示,将 Fishburn 和 Rubinstein(1982 年)的工作扩展到时间抽签。这一扩展为时间风险态度以及多种贴现因子的聚合提供了新的视角。我们还提出了一类新的赌博非预期效用偏好,该偏好满足背景风险和间性的不变性,但其多样性足以捕捉混合风险态度。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Monotone Additive Statistics

The expectation is an example of a descriptive statistic that is monotone with respect to stochastic dominance, and additive for sums of independent random variables. We provide a complete characterization of such statistics, and explore a number of applications to models of individual and group decision-making. These include a representation of stationary monotone time preferences, extending the work of Fishburn and Rubinstein (1982) to time lotteries. This extension offers a new perspective on risk attitudes toward time, as well as on the aggregation of multiple discount factors. We also offer a novel class of non-expected utility preferences over gambles which satisfy invariance to background risk as well as betweenness, but are versatile enough to capture mixed risk attitudes.

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来源期刊
Econometrica
Econometrica 社会科学-数学跨学科应用
CiteScore
11.00
自引率
3.30%
发文量
75
审稿时长
6-12 weeks
期刊介绍: Econometrica publishes original articles in all branches of economics - theoretical and empirical, abstract and applied, providing wide-ranging coverage across the subject area. It promotes studies that aim at the unification of the theoretical-quantitative and the empirical-quantitative approach to economic problems and that are penetrated by constructive and rigorous thinking. It explores a unique range of topics each year - from the frontier of theoretical developments in many new and important areas, to research on current and applied economic problems, to methodologically innovative, theoretical and applied studies in econometrics. Econometrica maintains a long tradition that submitted articles are refereed carefully and that detailed and thoughtful referee reports are provided to the author as an aid to scientific research, thus ensuring the high calibre of papers found in Econometrica. An international board of editors, together with the referees it has selected, has succeeded in substantially reducing editorial turnaround time, thereby encouraging submissions of the highest quality. We strongly encourage recent Ph. D. graduates to submit their work to Econometrica. Our policy is to take into account the fact that recent graduates are less experienced in the process of writing and submitting papers.
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