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Berentsen and Schär Figure 1 Cash Transaction Goods Buyer Seller Cash transaction Figure 2 Electronic Payment Goods Buyer Seller Electronic payment Ctrl + C of value circulating in the economy are always clearly established, without a central authority needing to keep accounts. Furthermore, any agent can participate in a cash payment system; nobody can be excluded. There is a permissionless access to it. Cash, however, also has disad- vantages. Buyers and sellers have to be physically present at the same location in order to trade, which in many situations makes its use impracticable. 1.2 Digital Cash An ideal payment system would be one in which monetary value could be transferred electronically via cash data files (Figure 2). Such cash data files retain the advantages of physical cash but would be able to circulate freely on electronic networks. 1 A data file of this type could be sent via email or social media channels. A specific feature of electronic data is that it can be copied any number of times at negli- gible cost. This feature is highly undesirable for money. If cash data files can be copied and the duplicates used as currency, they cannot serve as a payment instrument. This problem is termed the “double spending problem.” 1.3 Electronic Payment Systems To counteract the problem of double spending, classical electronic payment systems are based on a central authority that verifies the legitimacy of the payments and keeps track of the current state of ownership. In such systems, a central authority (usually a bank) manages the accounts of buyers and sellers. The buyer initiates a payment by submitting an order. The 2 First Quarter 2018 Federal Reserve Bank of St. Louis REVIEW