Price Differentiation and Menu Costs in Credit Card Payments
We build a model of credit card payments where the retailers are allowed to charge differential prices depending on the instrument of payment chosen by the consumer. We follow the approach in Rochet and Wright (2010) but assume a credit card system without any type of non-surcharge rule. In a Hotelling competition framework at the retailers level, the competitive equilibrium prices are computed assuming that the store credit provided by the retailer is less cost efficient than the one provided by the credit card. In accordance with the literature, we obtain that the interchange fee becomes neutral if we eliminate the no-surcharge rule, when the interchange fee loses its ability to distort the individual consumer’s decisions and displace the aggregate consumers’ welfare from its maximum level. We prove that the average price obtained under price differentiation is smaller than the single retail price under the non-surcharge rule, despite the retailer’s margins being the same in both scenarios. In addition, we introduce menu costs to prove that there is a value for the interchange fee such that there is equilibrium with price differentiation if and only if that fee is above this value. It must be interpreted as an endogenous cap for the interchange fee fixed by the credit card industry. Finally, we also obtain that under price differentiation with menu costs there is a non cooperative Nash equilibrium as in the well known “prisoner’s dilemma” game.
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- Rochet, Jean-Charles & Wright, Julian, 2009.
"Credit card interchange fees,"
Working Paper Series
1138, European Central Bank.
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De Gruyter, vol. 4(4), pages 1-34, December.
- Stuart E. Weiner & Julian Wright, 2005. "Interchange fees in various countries : developments and determinants," Proceedings – Payments System Research Conferences, Federal Reserve Bank of Kansas City, issue May, pages 5-49.
- Stuart E. Weiner & Julian Wright, 2005. "Interchange fees in various countries: developments and determinants," Payments System Research Working Paper PSR WP 05-01, Federal Reserve Bank of Kansas City.
- Richard Schmalensee, 2001.
"Payment Systems and Interchange Fees,"
NBER Working Papers
8256, National Bureau of Economic Research, Inc.
- Wang, Zhu, 2010. "Market structure and payment card pricing: What drives the interchange?," International Journal of Industrial Organization, Elsevier, vol. 28(1), pages 86-98, January.
- Terri Bradford, 2008. "Developments in interchange fees in the United States and abroad," Payments System Research Briefing, Federal Reserve Bank of Kansas City, issue Apr.
- Schuh, Scott & Stavins, Joanna, 2010. "Why are (some) consumers (finally) writing fewer checks? The role of payment characteristics," Journal of Banking & Finance, Elsevier, vol. 34(8), pages 1745-1758, August.
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