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A Generalized Nash Equilibrium network model for post-disaster humanitarian relief

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  • Nagurney, Anna
  • Flores, Emilio Alvarez
  • Soylu, Ceren

Abstract

We develop a Generalized Nash Equilibrium network model for post-disaster humanitarian relief by nongovernmental organizations (NGOs). NGOs derive utility from providing relief supplies to victims of the disaster at demand points in a supply chain context while competing with each other for financial funds provided by donations. The shared constraints consist of lower and upper bounds for demand for relief items at the demand points to reduce materiel convergence or congestion. This game theory problem is reformulated as an optimization problem and numerical examples and a theoretical case study on Hurricane Katrina given.

Suggested Citation

  • Nagurney, Anna & Flores, Emilio Alvarez & Soylu, Ceren, 2016. "A Generalized Nash Equilibrium network model for post-disaster humanitarian relief," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 95(C), pages 1-18.
  • Handle: RePEc:eee:transe:v:95:y:2016:i:c:p:1-18
    DOI: 10.1016/j.tre.2016.08.005
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    1. Liu, Zugang (Leo) & Anderson, Trisha D. & Cruz, Jose M., 2012. "Consumer environmental awareness and competition in two-stage supply chains," European Journal of Operational Research, Elsevier, vol. 218(3), pages 602-613.
    2. Begoña Vitoriano & M. Ortuño & Gregorio Tirado & Javier Montero, 2011. "A multi-criteria optimization model for humanitarian aid distribution," Journal of Global Optimization, Springer, vol. 51(2), pages 189-208, October.
    3. Tzeng, Gwo-Hshiung & Cheng, Hsin-Jung & Huang, Tsung Dow, 2007. "Multi-objective optimal planning for designing relief delivery systems," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(6), pages 673-686, November.
    4. Peter Nijkamp & Adam Rose & Karima Kourtit (ed.), 2015. "Regional Science Matters," Springer Books, Springer, edition 127, number 978-3-319-07305-7, December.
    5. Huang, Michael & Smilowitz, Karen & Balcik, Burcu, 2012. "Models for relief routing: Equity, efficiency and efficacy," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 2-18.
    6. Toyasaki, Fuminori & Daniele, Patrizia & Wakolbinger, Tina, 2014. "A variational inequality formulation of equilibrium models for end-of-life products with nonlinear constraints," European Journal of Operational Research, Elsevier, vol. 236(1), pages 340-350.
    7. Anna Nagurney & Min Yu & Qiang Qiang, 2011. "Supply chain network design for critical needs with outsourcing," Papers in Regional Science, Wiley Blackwell, vol. 90(1), pages 123-142, March.
    8. Balcik, Burcu & Beamon, Benita M. & Krejci, Caroline C. & Muramatsu, Kyle M. & Ramirez, Magaly, 2010. "Coordination in humanitarian relief chains: Practices, challenges and opportunities," International Journal of Production Economics, Elsevier, vol. 126(1), pages 22-34, July.
    9. L N Van Wassenhove, 2006. "Humanitarian aid logistics: supply chain management in high gear," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(5), pages 475-489, May.
    10. Anup Malani & Tomas Philipson & Guy David, 2003. "Theories of Firm Behavior in the Nonprofit Sector. A Synthesis and Empirical Evaluation," NBER Chapters, in: The Governance of Not-for-Profit Organizations, pages 181-216, National Bureau of Economic Research, Inc.
    11. Sheu, Jiuh-Biing, 2007. "An emergency logistics distribution approach for quick response to urgent relief demand in disasters," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(6), pages 687-709, November.
    12. Holguín-Veras, José & Jaller, Miguel & Wachtendorf, Tricia, 2012. "Comparative performance of alternative humanitarian logistic structures after the Port-au-Prince earthquake: ACEs, PIEs, and CANs," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(10), pages 1623-1640.
    13. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834.
    14. Krawczyk, Jacek B., 2005. "Coupled constraint Nash equilibria in environmental games," Resource and Energy Economics, Elsevier, vol. 27(2), pages 157-181, June.
    15. Fuminori Toyasaki & Tina Wakolbinger, 2014. "Impacts of earmarked private donations for disaster fundraising," Annals of Operations Research, Springer, vol. 221(1), pages 427-447, October.
    16. Sheu, Jiuh-Biing, 2010. "Dynamic relief-demand management for emergency logistics operations under large-scale disasters," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(1), pages 1-17, January.
    17. Gatignon, Aline & Van Wassenhove, Luk N. & Charles, Aurélie, 2010. "The Yogyakarta earthquake: Humanitarian relief through IFRC's decentralized supply chain," International Journal of Production Economics, Elsevier, vol. 126(1), pages 102-110, July.
    18. Edward L. Glaeser, 2003. "The Governance of Not-for-Profit Organizations," NBER Books, National Bureau of Economic Research, Inc, number glae03-1, March.
    19. Jun Zhuang & Gregory Saxton & Han Wu, 2014. "Publicity vs. impact in nonprofit disclosures and donor preferences: a sequential game with one nonprofit organization and N donors," Annals of Operations Research, Springer, vol. 221(1), pages 469-491, October.
    20. Susan Rose-Ackerman, 1982. "Charitable Giving and “Excessive†Fundraising," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 97(2), pages 193-212.
    21. Haghani, Ali & Oh, Sei-Chang, 1996. "Formulation and solution of a multi-commodity, multi-modal network flow model for disaster relief operations," Transportation Research Part A: Policy and Practice, Elsevier, vol. 30(3), pages 231-250, May.
    22. Anna Nagurney, 2006. "Supply Chain Network Economics," Books, Edward Elgar Publishing, number 4242.
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