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Capacitated Human Migration Networks and Subsidization

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Dynamics of Disasters

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 169))

Abstract

Large-scale migration flows are posing immense challenges for governments around the globe, with drivers ranging from climate change and disasters to wars, violence, and poverty. In this paper, we introduce multiclass human migration models under user-optimizing and system-optimizing behavior in which the locations associated with migration are subject to capacities. We construct alternative variational inequality formulations of the governing equilibrium/optimality conditions that utilize Lagrange multipliers and then derive formulae for subsidies that, when applied, guarantee that migrants will locate themselves, acting independently and selfishly, in a manner that is also optimal from a societal perspective. An algorithm is proposed, implemented, and utilized to compute solutions to numerical examples. Our framework can be applied by governmental authorities to manage migration flows and population distributions for enhanced societal welfare.

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Acknowledgements

The first two authors are grateful for the insights gained through participation in the Dynamics of Disasters conferences in Kalamata, Greece, and the very useful discussions.

The authors acknowledge the very helpful comments and suggestions provided by two anonymous reviewers on an earlier version of this paper.

Author information

Authors and Affiliations

  1. Department of Operations and Information Management, Isenberg School of Management, University of Massachusetts, Amherst, MA, USA

    Anna Nagurney

  2. Department of Mathematics and Computer Science, University of Catania, Catania, Italy

    Patrizia Daniele & Giorgia Cappello

Authors
  1. Anna Nagurney
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  2. Patrizia Daniele
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  3. Giorgia Cappello
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Corresponding author

Correspondence to Anna Nagurney .

Editor information

Editors and Affiliations

  1. Department of Physics & Computer Science, Wilfrid Laurier University, Waterloo, ON, Canada

    Ilias S. Kotsireas

  2. Isenberg School of Management, University of Massachusetts Amherst , Amherst, MA, USA

    Anna Nagurney

  3. Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, USA

    Panos M. Pardalos

  4. University of Florida, Gainesville, FL, USA

    Arsenios Tsokas

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Nagurney, A., Daniele, P., Cappello, G. (2021). Capacitated Human Migration Networks and Subsidization. In: Kotsireas, I.S., Nagurney, A., Pardalos, P.M., Tsokas, A. (eds) Dynamics of Disasters. Springer Optimization and Its Applications, vol 169. Springer, Cham. https://doi.org/10.1007/978-3-030-64973-9_12

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