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

Andria, J., Maggistro, R., Pesenti, R. (2023). Sustainable Management of Tourist Flow Networks: A Mean Field Model. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS [10.1007/s10957-023-02158-8].

Sustainable Management of Tourist Flow Networks: A Mean Field Model

Andria, Joseph;
2023-01-01

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
Settore SECS-S/06 -Metodi Mat. dell'Economia e d. Scienze Attuariali e Finanz.
Andria, J., Maggistro, R., Pesenti, R. (2023). Sustainable Management of Tourist Flow Networks: A Mean Field Model. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS [10.1007/s10957-023-02158-8].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/578589
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