First-order dominance: stronger characterization and a bivariate checking algorithm

Troels Martin Range*, Lars Peter Raahave Østerdal

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Abstrakt

How to determine whether one distribution first-order dominates another is a fundamental problem that has many applications in economics, finance, probability theory, and statistics. Nevertheless, little is known about how to efficiently check first-order dominance for finite multivariate distributions. Utilizing that this problem can be formulated as a transportation problem with a special structure, we provide a stronger characterization of multivariate first-order dominance and develop a linear time complexity checking algorithm for the bivariate case. We illustrate the use of the checking algorithm when numerically assessing first-order dominance among continuous bivariate distributions.

OriginalsprogEngelsk
TidsskriftMathematical Programming
Vol/bind173
Udgave nummer1-2
Sider (fra-til)193-219
ISSN0025-5610
DOI
StatusUdgivet - jan. 2019

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