The paper defines an epsilon-parameterized fairness constraint based on norm equivalence, proves its SOC representability and monotone efficiency trade-off, and links it exactly to the Jain index.
Equality measures properties for location problems
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A Parametric, Second-Order Cone Representable Model of Fairness for Decision-Making Problems
The paper defines an epsilon-parameterized fairness constraint based on norm equivalence, proves its SOC representability and monotone efficiency trade-off, and links it exactly to the Jain index.