Art heritage cities are popular tourist destinations but for many of them overcrowding is becoming an issue. In this paper, we address the problem of modeling and analytically studying the ow of tourists along the narrow alleys of the historic center of a heritage city. We initially present a mean field game model, where both continuous and switching decisional variables are introduced to respectively describe the position of a tourist and the point of interest that he/she may visit. We prove the existence of a mean field equilibrium. A mean field equilibrium is Nash-type equilibrium in the case of infinitely many players. Then, we study an optimization problem for an external controller who aims to induce a suitable mean field equilibrium.

Optimal control of the mean field equilibrium for a pedestrian tourists' flow model / Bagagiolo, Fabio; Maggistro, Rosario; Faggian, Silvia; Pesenti, Raffaele. - In: NETWORKS AND SPATIAL ECONOMICS. - ISSN 1572-9427. - ELETTRONICO. - 2022, 22:2(2022), pp. 243-266. [10.1007/s11067-019-09475-4]

Optimal control of the mean field equilibrium for a pedestrian tourists' flow model

Bagagiolo, Fabio;Maggistro, Rosario;
2022-01-01

Abstract

Art heritage cities are popular tourist destinations but for many of them overcrowding is becoming an issue. In this paper, we address the problem of modeling and analytically studying the ow of tourists along the narrow alleys of the historic center of a heritage city. We initially present a mean field game model, where both continuous and switching decisional variables are introduced to respectively describe the position of a tourist and the point of interest that he/she may visit. We prove the existence of a mean field equilibrium. A mean field equilibrium is Nash-type equilibrium in the case of infinitely many players. Then, we study an optimization problem for an external controller who aims to induce a suitable mean field equilibrium.
2022
2
Bagagiolo, Fabio; Maggistro, Rosario; Faggian, Silvia; Pesenti, Raffaele
Optimal control of the mean field equilibrium for a pedestrian tourists' flow model / Bagagiolo, Fabio; Maggistro, Rosario; Faggian, Silvia; Pesenti, Raffaele. - In: NETWORKS AND SPATIAL ECONOMICS. - ISSN 1572-9427. - ELETTRONICO. - 2022, 22:2(2022), pp. 243-266. [10.1007/s11067-019-09475-4]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/239418
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