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Sustainable Management of Tourist Flow Networks: A Mean Field Model

Author

Listed:
  • Joseph Andria

    (Università di Palermo)

  • Rosario Maggistro

    (Università di Trieste)

  • Raffaele Pesenti

    (Università Ca’ Foscari Venezia)

Abstract

In this article, we propose a mean field game approach for modeling the flows of excursionists within a network of tourist attractions. We prove the existence of an equilibrium within the network using a balance ordinary differential equation together with optimality conditions in terms of the value function. We also propose a bi-level formulation of the problem where we aim at achieving a sustainable-oriented control strategy in the upper level and at maximizing excursionists’ satisfaction in the lower level. Our proposed model may provide an effective management tool for local authorities who deal with the challenging problem of finding an optimal control policy to the often conflicting objectives of ensuring the maximum excursionists’ satisfaction while pursuing the highest sustainability benefits.

Suggested Citation

  • Joseph Andria & Rosario Maggistro & Raffaele Pesenti, 2023. "Sustainable Management of Tourist Flow Networks: A Mean Field Model," Journal of Optimization Theory and Applications, Springer, vol. 196(2), pages 730-761, February.
    • Handle: RePEc:spr:joptap:v:196:y:2023:i:2:d:10.1007_s10957-023-02158-8
    DOI: 10.1007/s10957-023-02158-8
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    References listed on IDEAS

    as
    1. Fabio Bagagiolo & Silvia Faggian & Rosario Maggistro & Raffaele Pesenti, 2022. "Optimal Control of the Mean Field Equilibrium for a Pedestrian Tourists’ Flow Model," Networks and Spatial Economics, Springer, vol. 22(2), pages 243-266, June.
    2. Marta Disegna & Linda Osti, 2016. "Tourists' Expenditure Behaviour: The Influence of Satisfaction and the Dependence of Spending Categories," Tourism Economics, , vol. 22(1), pages 5-30, February.
    3. Joseph Andria & Giacomo di Tollo & Raffaele Pesenti, 2021. "Fuzzy multi-criteria decision-making: An entropy-based approach to assess tourism sustainability," Tourism Economics, , vol. 27(1), pages 168-186, February.
    4. Wong, Cora Un In & McKercher, Bob, 2012. "Day tour itineraries: Searching for the balance between commercial needs and experiential desires," Tourism Management, Elsevier, vol. 33(6), pages 1360-1372.
    5. Cécile Maunier & Christèle Camelis, 2013. "Toward an identification of elements contributing to satisfaction with the tourism experience," Post-Print hal-01243421, HAL.
    6. Fabio Bagagiolo & Dario Bauso, 2014. "Mean-Field Games and Dynamic Demand Management in Power Grids," Dynamic Games and Applications, Springer, vol. 4(2), pages 155-176, June.
    7. repec:dau:papers:123456789/3001 is not listed on IDEAS
    8. Massimiliano Castellani & Pierpaolo Pattitoni & Laura Vici, 2015. "Pricing Visitor Preferences for Temporary Art Exhibitions," Tourism Economics, , vol. 21(1), pages 83-103, February.
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