Resource Allocation with Population Dynamics
Optimization and Control
2025-09-09 v1 Artificial Intelligence
Multiagent Systems
Abstract
Many analyses of resource-allocation problems employ simplistic models of the population. Using the example of a resource-allocation problem of Marecek et al. [arXiv:1406.7639], we introduce rather a general behavioural model, where the evolution of a heterogeneous population of agents is governed by a Markov chain. Still, we are able to show that the distribution of agents across resources converges in distribution, for suitable means of information provision, under certain assumptions. The model and proof techniques may have wider applicability.
Cite
@article{arxiv.1604.03458,
title = {Resource Allocation with Population Dynamics},
author = {Jonathan Epperlein and Jakub Marecek},
journal= {arXiv preprint arXiv:1604.03458},
year = {2025}
}