A Parametric, Second-Order Cone Representable Model of Fairness for Decision-Making Problems
| Autor: | Sundar, Kaarthik, Deka, Deepjyoti, Bent, Russell |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The article develops a parametric model of fairness called "$\varepsilon$-fairness" that can be represented using a single second-order cone constraint and incorporated into existing decision-making problem formulations without impacting the complexity of solution techniques. We develop the model from the fundamental result of finite-dimensional norm equivalence in linear algebra and show that this model has a closed-form relationship to an existing metric for measuring fairness widely used in the literature. Finally, a simple case study on the optimal operation of a damaged power transmission network illustrates its effectiveness. Comment: 11 pages |
| Databáze: | arXiv |
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