optimize on street parking pricing model

I want a model that finds the best price for every parking onstreet lot in order to minimize congestion and optimize social welfare. Some papers that may be helpful:
https://mpra.ub.uni-muenchen.de/52361/1/MPRA_paper_52301.pdf
https://reader.elsevier.com/reader/sd/pii/S0094119006000386?token=944B0218FBF91D75DE8E07B128A1F2F389C0326F03E6BF8F49E8D74DAEBDB9F8D27A55FD28A2EBAFF99CDBF2313FA32C&originRegion=eu-west-1&originCreation=20220404094141
https://reader.elsevier.com/reader/sd/pii/S1877042813010112?token=78BD8EFE8572514C8F82654BFCD2A5AD3080DEE783829DCC420AC7BAD51078CF113AB1EC209C4848E0936B41110EDA2D&originRegion=eu-west-1&originCreation=20220404082034