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• W2965478820 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 flow 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." @default.
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• W2965478820 date "2019-07-30" @default.
• W2965478820 modified "2023-09-24" @default.
• W2965478820 title "Optimal Control of the Mean Field Equilibrium for a Pedestrian Tourists’ Flow Model" @default.
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• W2965478820 doi "https://doi.org/10.1007/s11067-019-09475-4" @default.
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