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- W4381307612 abstract "Lotteries are a common way to resolve ties in assignment mechanisms that ration resources. We consider a model with a continuum of agents and a finite set of resources with heterogeneous qualities, where the agents' preferences are generated from a multinomial‐logit (MNL) model based on the resource qualities. We show that all agents prefer a common lottery to independent lotteries at each resource if every resource is popular , meaning that the mass of agents ranking that resource as their first choice exceeds its capacity. We then prove a stronger result where the assumption that every resource is popular is not required and agents' preferences are drawn from a (more general) nested MNL model. By appropriately adapting the notion of popularity to resource types, we show that a hybrid tie‐breaking rule in which the objects in each popular type share a common lottery dominates independent lotteries at each resource." @default.
- W4381307612 created "2023-06-21" @default.
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- W4381307612 date "2023-01-01" @default.
- W4381307612 modified "2023-09-23" @default.
- W4381307612 title "On rank dominance of tie‐breaking rules" @default.
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- W4381307612 doi "https://doi.org/10.3982/te4762" @default.
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