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On Random Assignment Problems, Peng Liu
On Random Assignment Problems, Peng Liu
Dissertations and Theses Collection
This dissertation studies the standard random assignment problem (Bogomolnaia and Moulin (2001)) and investigates the scope of designing a desirable random assignment rule. Specifically, I ask the following two questions:
1. Is there a reasonably restricted domain of preferences on which there exists an strategy-sd-efficient proof, sd-efficient and sd-envy-free or equal-treatment-of-equals rule?
2. Moreover, if the answer is in the affirmative, what is that rule?
As a starting point, attention is restricted to the connected domains (Monjardet (2009)). It is shown that if a connected domain admits a desirable random assignment rule, it is structured in a specific way: a …