Star-Shaped Risk Measures
研究了货币风险度量中的星形性质，该性质统一了风险价值与凸风险度量，便于意见聚合和优化，在不确定性决策中广泛存在。
One of the mantras of risk measurement is the avoidance of risk concentration. However, most formal approaches to the topic actually require more than this. In “Star-Shaped Risk Measures,” Castagnoli, Cattelan, Maccheroni, Tebaldi, and Wang study this property “in purity” for monetary risk measures. They show that it unites value at risk and convex risk measures, it is amenable to aggregation of opinions, and it leads to treatable optimization, thanks to a meaningful functional representation. They also show its ubiquitous presence in several fields of decision making under uncertainty.