A Theory of Credit Cards
Recent U.S. antitrust litigation and concerns by regulatory authorities over fees in Australia
and the European Union have questioned the nature of various bilateral relationships
and associated fees underlying credit card transactions. A two-period model is constructed to
study the interactions among consumers, merchants, and a card issuer. The model yields the
following results. First, if the issuer’s cost of funds is not too high and the merchant’s profit
margin is sufficiently high, a credit card equilibrium exists. Second, the issuer’s ability to charge
higher merchant discount fees depends on the number of customers gained when credit cards
are accepted. Thus, credit cards exhibit characteristics of network goods. Third, each merchant
faces a prisoner’s dilemma where each independently chooses to accept credit cards, however
all merchants’ two-period profits are reduced because of intertemporal business stealing across
industries.