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EnglishThe asymptotic behaviour of deterministic logit dynamics in heterogeneous routing games is analyzed. It is proved that in directed multigraphs with parallel routes, and in series composition of such multigraphs, the dynamics admits a globally asymptotically stable fixed point. Moreover, the unique fixed point of the dynamics approaches the set of Wardrop equilibria, as the noise vanishes. This result relies on the fact that the dynamics of aggregate flows is monotone, and its Jacobian is strictly diagonally dominant by columns. Index Terms— Transportation networks, Logit dynamics, Wardrop equilibrium, Heterogeneous routing games
On stability of users equilibria in heterogeneous routing games / Cianfanelli, Leonardo; Como, Giacomo. - ELETTRONICO. - (2019), pp. 355-360. ((Intervento presentato al convegno 58th IEEE Conference on Decision and Control (CDC 2019) tenutosi a Nice (France) nel December 11-13, 2019 [10.1109/CDC40024.2019.9030230].
| Titolo: | On stability of users equilibria in heterogeneous routing games | |
| Autori: | ||
| Data di pubblicazione: | 2019 | |
| Abstract: | The asymptotic behaviour of deterministic logit dynamics in heterogeneous routing games is analy...zed. It is proved that in directed multigraphs with parallel routes, and in series composition of such multigraphs, the dynamics admits a globally asymptotically stable fixed point. Moreover, the unique fixed point of the dynamics approaches the set of Wardrop equilibria, as the noise vanishes. This result relies on the fact that the dynamics of aggregate flows is monotone, and its Jacobian is strictly diagonally dominant by columns. Index Terms— Transportation networks, Logit dynamics, Wardrop equilibrium, Heterogeneous routing games | |
| Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| main.pdf | Articolo principale | 2. Post-print / Author's Accepted Manuscript | PUBBLICO - Tutti i diritti riservati | Visibile a tuttiVisualizza/Apri |
| 09030230.pdf | 2a Post-print versione editoriale / Version of Record | Non Pubblico - Accesso privato/ristretto | Administrator Richiedi una copia |
http://hdl.handle.net/11583/2786491
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