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Fairness Criteria for Allocating Scarce Resources

Bismark Singh (bismark.singh***at***fau.de)

Abstract: We develop an optimization model to provide a fair allocation of multiple resources to multiple users. All resources might not be suitable to all users. We develop a notion of fairness, and then provide a general class of functions achieving it. Next, we develop more restricted notions of fairness---special cases of which exist in literature. Finally, we distinguish between scarce and abundant resources, and show that if a resource is abundant, all users seeking it achieve the maximum possible coverage.

Keywords: proportional fairness, equity, optimization, welfare, resource allocation, KKT conditions

Category 1: Convex and Nonsmooth Optimization

Category 2: Complementarity and Variational Inequalities

Category 3: Global Optimization

Citation: under review

Download: [PDF]

Entry Submitted: 07/08/2019
Entry Accepted: 07/08/2019
Entry Last Modified: 09/30/2019

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