EXPLICIT SOLUTIONS OF ONE-DIMENSIONAL, FIRST-ORDER, STATIONARY MEAN-FIELD GAMES WITH CONGESTION

被引:0
|
作者
Gomes, Diogo A. [1 ,2 ]
Nurbekyan, Levon [1 ,2 ]
Prazeres, Mariana [1 ,2 ]
机构
[1] KAUST, CEMSE Div, Thuwal 239556900, Saudi Arabia
[2] KAUST SRI, Uncertainty Quantificat Ctr Computat Sci & Engn, Thuwal 239556900, Saudi Arabia
关键词
EXISTENCE;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Here, we consider one-dimensional first order stationary mean-field games with congestion. These games arise when crowds face difficulty moving in high density regions. We look at both monotone decreasing and increasing interactions and construct explicit solutions using the current formulation. We observe new phenomena such as discontinuities, unhappiness traps and the nonexistence of solutions.
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页码:4534 / 4539
页数:6
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