000012057 001__ 12057 000012057 005__ 20240315093800.0 000012057 022__ $$a2227-7390 000012057 0247_ $$2DOI$$a10.3390/math11040999 000012057 037__ $$aARTICLE 000012057 039_9 $$a2024-03-15 09:38:00$$b0$$c2023-09-05 15:27:56$$d1$$c2023-06-06 10:14:07$$d1001252$$c2023-03-24 15:41:43$$d0$$c2023-03-24 14:52:21$$d1000016$$c2023-03-09 18:13:34$$d0$$y2023-03-09 18:13:24$$z1000016 000012057 041__ $$aeng 000012057 245__ $$aCoordination of plug-in electric vehicle charging in a stochastic framework :$$ba decentralized tax/incentive-based mechanism to reach global optimality 000012057 269__ $$a2023-02 000012057 300__ $$a24 p. 000012057 506__ $$avisible 000012057 520__ $$9eng$$aWe address the problem of charging plug-in electric vehicles (PEVs) in a decentralized way and under stochastic dynamics affecting the real-time electricity tariff. The model is formulated as a Nash equilibrium seeking problem, where players wish to minimize the costs for charging their own PEVs. For finite PEVs populations, the Nash equilibrium does not correspond to the social optimum, i.e., to a control strategy minimizing the total electricity costs at the aggregate level. We accordingly introduce some taxes/incentives on the price of electricity for charging PEVs and show that it is possible to tune them so that (a) the social optimum is reached as a Nash equilibrium, (b) in correspondence with this equilibrium, players do not pay any net total tax, nor receive any net total incentive. 000012057 540__ $$acorrect 000012057 592__ $$aHEG - Genève 000012057 592__ $$bCRAG - Centre de Recherche Appliquée en Gestion 000012057 592__ $$cEconomie et Services 000012057 65017 $$aEconomie/gestion 000012057 6531_ $$9eng$$adecentralized control 000012057 6531_ $$9eng$$aNash equilibrium 000012057 6531_ $$9eng$$anon-cooperative games 000012057 6531_ $$9eng$$aoptimal charging control 000012057 6531_ $$9eng$$aplug-in electric vehicles 000012057 6531_ $$9eng$$astochastic processes 000012057 655__ $$ascientifique 000012057 700__ $$aBalmelli, Simone$$uHaute école de gestion de Genève, HES-SO Haute Ecole Spécialisée de Suisse Occidentale 000012057 700__ $$aMoresino, Francesco$$uHaute école de gestion de Genève, HES-SO Haute Ecole Spécialisée de Suisse Occidentale 000012057 773__ $$j2023, Vol. 11, no. 4, 999$$tMathematics 000012057 8564_ $$yPublished version$$9a39b5004-131f-4e10-85c3-95b3d837f376$$s920303$$uhttps://arodes.hes-so.ch/record/12057/files/Moresino_2023_Coordination_of_plug-in_electric_vehicle.pdf 000012057 906__ $$aGOLD 000012057 909CO $$ooai:hesso.tind.io:12057$$pECONOMIESERVICES_ALL$$pGLOBAL_SET$$pHEG_GE_ARTICLES_SCIENTIFIQUES$$qHEG_GE_ARTICLES_SCIENTIFIQUES_ECO 000012057 950__ $$aI2 000012057 980__ $$ascientifique 000012057 981__ $$ascientifique