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Paper · arXiv

Computable Fairness: Boltzmann-Softmax Control for AI Resource Allocation

In large-scale AI systems, allocating scarce resources such as GPU compute time and bandwidth among multiple agents is a critical challenge. Conventional policies focus on efficiency metrics, potentially leading to dominance concentration that undermines system diversity and stability. We propose Computable Fair Division (CFD), a framework that reinterprets the Boltzmann-Softmax function not as a selection tool but as a probabilistic resource allocation mechanism, redefining the inverse temperature parameter $β$ as a computable control variable governing the efficiency-fairness balance. Static analysis reveals a Pareto frontier with a near-optimal Stability Corridor where total loss remai...

AuthorsJi-Won Park, Chae Un Kim
Primary categoryphysics.app-ph
Published12 April 2026
Last updated at source12 April 2026
physics.app-phcs.AIcs.MAcs.PF
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