no code implementations • 1 Feb 2021 • Xiaosheng Mu, Luciano Pomatto, Philipp Strack, Omer Tamuz
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.
no code implementations • 29 Dec 2020 • Federico Echenique, Masaki Miyashita, Yuta Nakamura, Luciano Pomatto, Jamie Vinson
We propose a model of incomplete \textit{twofold multiprior preferences}, in which an act $f$ is ranked above an act $g$ only when $f$ provides higher utility in a worst-case scenario than what $g$ provides in a best-case scenario.
no code implementations • 15 Oct 2020 • Xiaosheng Mu, Luciano Pomatto, Philipp Strack, Omer Tamuz
We show that under plausible levels of background risk, no theory of choice under risk -- such as expected utility theory, prospect theory, or rank dependent utility -- can simultaneously satisfy the following three economic postulates: (i) Decision makers are risk-averse over small gambles, (ii) they respect stochastic dominance, and (iii) they account for background risk.
no code implementations • 11 Dec 2018 • Luciano Pomatto, Philipp Strack, Omer Tamuz
We develop an axiomatic theory of information acquisition that captures the idea of constant marginal costs in information production: the cost of generating two independent signals is the sum of their costs, and generating a signal with probability half costs half its original cost.