Boolean d-Attribute Stable Matching

SMP in the d-attribute model. In the d-attribute model, we assume that there are d different attributes (e.g. income, height, sense of humor, etc.) with a fixed, possibly objective, ranking of the men for each attribute. Each woman’s preference list is based on a linear combination of the attributes of the men, where each woman can have different weights for each attribute. Some women may care more about, say, height whereas others care more about sense of humor. Men’s preferences are defined analogously.

Parameters

  • nn: number of men and number of women
  • dd: number of attributes

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Filters

Computational Model

Randomization

Approximation

Algorithms Table

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Reductions Table

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Other relevant algorithms

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