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Supplementary Material for: Game Theory and Multi-Agent Reinforcement Learning for Zonal Ancillary Markets
Francesco Morri, Hélène Le Cadre, Pierre Gruet, Luce Brotcorne

Supplementary Material for: Game Theory and Multi-Agent Reinforcement Learning for Zonal Ancillary Markets

Science & Mathematics Published 2025 Verification Pending

Overview & Synopsis

Wereporthere theadditionalmaterial for theworkGame TheoryandMulti-AgentReinforcementLearningforZonalAn cillaryMarkets.Specificallywepresent thefullnomenclature foreveryvariable,setandfunctionusedinproblemdefinitions, the fullLagrangianderived fromtheKKTreformulationof themarketoperatorproblem, thepenalizedobjectivefunction needed for the theoretical result on theexistenceof aNash equilibrium, theproofof theequivalencebetweenthepenal izedandnon-penalizedsolutions, theanalysisof theHessian matrices used in the proof of Theorem1, and a complete descriptionof theMARLalgorithm.

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Document Information

Document Title Supplementary Material for: Game Theory and Multi-Agent Reinforcement Learning for Zonal Ancillary Markets
Author / Organization Francesco Morri, Hélène Le Cadre, Pierre Gruet, Luce Brotcorne
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2025
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-199857
Original Source Link Visit Source Page on hal.science »