This paper introduces discrete Euler processes and shows their application in detecting and forecasting cycles in non-stationary data where periodic behavior changes approximately linearly in time. A discrete Euler process becomes a classical stationary process if 'time' is transformed properly....

From the early days of automated card sorting to the more recent times of the Internet and check imaging, payments and payments processing have continually embraced new technology. At the same time, the industry has been shaped by its share of entry and exit, through startups, mergers, and the...

This paper provides a new theory for two-sided payment card markets by positing better microfoundations. Adopting payment cards by consumers and merchants requires a fixed cost, but yields lower marginal costs of making payments. Considering this together with the heterogeneity of consumer...

This paper studies product innovation and firm survival in the U.S. ATM/debit card industry. The industry started with a few shared ATM networks in the early 1970s. The number of networks grew quickly up until the mid 1980s, but then declined sharply. We construct a theoretical model based on...