We investigate the third-degree stochastic dominance order, which is receiving increasing attention in the field of inequality measurement. Observing that this partial order fails to satisfy the von Neumann - Morgenstern independence property in the space of random variables, we introduce the concepts of strong and local third-degree stochastic dominance, which do not suffer from this deficiency. We motivate these two new binary relations and characterize them in the spirit of the Lorenz characterization of the second-degree stochastic order, comparing our findings with the closest results in inequality literature. © Springer Science+Business Media, LLC. 2008.
CITATION STYLE
Le Breton, M., & Peluso, E. (2009). Third-degree stochastic dominance and inequality measurement. Journal of Economic Inequality, 7(3), 249–268. https://doi.org/10.1007/s10888-008-9077-0
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