{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T00:42:23Z","timestamp":1791247343657,"version":"4.1.0"},"reference-count":48,"publisher":"The Econometric Society","issue":"4","funder":[{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ECTA"],"abstract":"<jats:p>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\u2010making. 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\u2010expected utility preferences over gambles which satisfy invariance to background risk as well as betweenness, but are versatile enough to capture mixed risk attitudes.<\/jats:p>","DOI":"10.3982\/ecta19967","type":"journal-article","created":{"date-parts":[[2024,7,25]],"date-time":"2024-07-25T07:56:16Z","timestamp":1721894176000},"page":"995-1031","source":"Crossref","is-referenced-by-count":7,"title":["Monotone Additive Statistics"],"prefix":"10.3982","volume":"92","author":[{"given":"Xiaosheng","family":"Mu","sequence":"first","affiliation":[{"name":"Department of Economics, Princeton University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Luciano","family":"Pomatto","sequence":"additional","affiliation":[{"name":"Division of the Humanities and Social Sciences, California Institute of 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