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Monotone Additive Statistics

Mu, Xiaosheng and Pomatto, Luciano and Strack, Philipp and Tamuz, Omer (2022) Monotone Additive Statistics. In: Proceedings of the 23rd ACM Conference on Economics and Computation. Association for Computing Machinery , New York, NY, p. 34. ISBN 978-1-4503-9150-4.

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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, as well as a characterization of risk-averse preferences over monetary gambles that are invariant to mean-zero background risks.

Item Type:Book Section
Related URLs:
URLURL TypeDescription Paper
Mu, Xiaosheng0000-0002-2868-5182
Pomatto, Luciano0000-0002-4331-8436
Strack, Philipp0000-0002-7960-9243
Tamuz, Omer0000-0002-0111-0418
Additional Information:© 2022 Copyright held by the owner/author(s). Philipp Strack was supported by a Sloan fellowship. Omer Tamuz was supported by a grant from the Simons Foundation (#419427), a Sloan fellowship, a BSF award (#2018397) and a National Science Foundation CAREER award (DMS-1944153).
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Simons Foundation419427
Binational Science Foundation (USA-Israel)2018397
Subject Keywords:statistics, stationary preferences, stochastic dominance
Record Number:CaltechAUTHORS:20210303-154811036
Persistent URL:
Official Citation:Xiaosheng Mu, Luciano Pomatto, Philipp Strack, and Omer Tamuz. 2022. Monotone Additive Statistics. In Proceedings of the 23rd ACM Conference on Economics and Computation (EC ’22), July 11–15, 2022, Boulder, CO, USA. ACM, New York, NY, USA, 1 page.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108299
Deposited By: Tony Diaz
Deposited On:04 Mar 2021 00:00
Last Modified:27 Jul 2022 22:40

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