There were examples close to the decentralized banking model in history, for example the Free Banking model. Free banking model was implemented with different alternatives. In the era of laissez faire laissez passe, free banking reached wider diffusion.In simple terms: Those holding bonds and similar deposit assets in the bank were authorized to issue money.
Hayek came up with a different method than this.The modern theory of the export and circulation of money based on the alternative free market mechanism, where the Central Banks do not take place as an authority, was put forward by the economist Friedrich Hayek in 1976.The idea, advocated by Hayek in The Denationalization of Money, is that money is exported so that it can be used as a means of value by organizations using various factors.