Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion

Diogo A. Gomes; Levon Nurbekyan; Mariana Prazeres

doi:10.1109/CDC.2016.7798959

Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion

Diogo A. Gomes, Levon Nurbekyan, Mariana Prazeres

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

19 Scopus citations

Abstract

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.

Original language	English (US)
Title of host publication	2016 IEEE 55th Conference on Decision and Control (CDC)
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	4534-4539
Number of pages	6
ISBN (Print)	9781509018376
DOIs	https://doi.org/10.1109/CDC.2016.7798959
State	Published - Jan 5 2017

Bibliographical note

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.

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10.1109/CDC.2016.7798959

https://repository.kaust.edu.sa/bitstream/10754/622700/1/MFGcongestion.pdf

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title = "Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion",

abstract = "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.",

author = "Gomes, {Diogo A.} and Levon Nurbekyan and Mariana Prazeres",

note = "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.",

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doi = "10.1109/CDC.2016.7798959",

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Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion. / Gomes, Diogo A.; Nurbekyan, Levon; Prazeres, Mariana.
2016 IEEE 55th Conference on Decision and Control (CDC). Institute of Electrical and Electronics Engineers (IEEE), 2017. p. 4534-4539.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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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.

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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.

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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

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BT - 2016 IEEE 55th Conference on Decision and Control (CDC)

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion

Abstract

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