TY - GEN
T1 - Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion
AU - Gomes, Diogo A.
AU - Nurbekyan, Levon
AU - Prazeres, Mariana
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This work was partially supported by KAUST baseline and start- up funds and KAUST SRI, Uncertainty Quantification Center in Computational Science and Engineering.
PY - 2017/1/5
Y1 - 2017/1/5
N2 - 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 non-existence of solutions.
AB - 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 non-existence of solutions.
UR - http://hdl.handle.net/10754/622700
UR - http://ieeexplore.ieee.org/document/7798959/
UR - http://www.scopus.com/inward/record.url?scp=85010789894&partnerID=8YFLogxK
U2 - 10.1109/CDC.2016.7798959
DO - 10.1109/CDC.2016.7798959
M3 - Conference contribution
SN - 9781509018376
SP - 4534
EP - 4539
BT - 2016 IEEE 55th Conference on Decision and Control (CDC)
PB - Institute of Electrical and Electronics Engineers (IEEE)
ER -