A Game Theory Approach for the Groundwater Pollution Control
| dc.rights.license | open | en_US |
| hal.structure.identifier | Bordeaux Sciences Economiques [BSE] | |
| dc.contributor.author | AUGERAUD-VÉRON, Emmanuelle | |
| dc.contributor.author | CHOQUET, Catherine | |
| dc.contributor.author | COMTE, Éloïse | |
| hal.structure.identifier | Bordeaux Sciences Economiques [BSE] | |
| dc.contributor.author | DIÉDHIOU, Moussa M. | |
| dc.date.accessioned | 2022-09-08T15:27:57Z | |
| dc.date.available | 2022-09-08T15:27:57Z | |
| dc.date.issued | 2022-06-01 | |
| dc.identifier.issn | 0363-0129 | en_US |
| dc.identifier.uri | oai:crossref.org:10.1137/19m1278223 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/142266 | |
| dc.description.abstractEn | A differential game modeling the noncooperative outcome of pollution in groundwater is studied. Spatio-temporal objectives are constrained by a convection-diffusion-reaction equation ruling the spread of the pollution in the aquifer, and the velocity of the flow solves an elliptic partial differential equation. The existence of a Nash equilibrium is proved using a fixed point strategy. A uniqueness result for the Nash equilibrium is also proved under some additional assumptions. Some numerical illustrations are provided. | |
| dc.language.iso | EN | en_US |
| dc.source | crossref | |
| dc.subject.en | PDEs | |
| dc.subject.en | differential game theory | |
| dc.subject.en | Nash equilibrium | |
| dc.subject.en | hydrogeological state equations | |
| dc.title.en | A Game Theory Approach for the Groundwater Pollution Control | |
| dc.type | Article de revue | en_US |
| dc.identifier.doi | 10.1137/19m1278223 | en_US |
| dc.subject.hal | Économie et finance quantitative [q-fin] | en_US |
| bordeaux.journal | SIAM Journal on Control and Optimization | en_US |
| bordeaux.page | 1667-1689 | en_US |
| bordeaux.volume | 60 | en_US |
| bordeaux.hal.laboratories | Bordeaux Sciences Economiques / Bordeaux School of Economics -BSE) - UMR 6060 | en_US |
| bordeaux.issue | 3 | en_US |
| bordeaux.institution | Université de Bordeaux | en_US |
| bordeaux.institution | CNRS | en_US |
| bordeaux.peerReviewed | oui | en_US |
| bordeaux.inpress | non | en_US |
| bordeaux.import.source | dissemin | |
| hal.export | false | |
| workflow.import.source | dissemin | |
| dc.rights.cc | Pas de Licence CC | en_US |
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