Creating the European monetary union between diverse and unequal nation states is arguably one of the biggest social experiments in history. This book offers an explanation of how the euro experiment came about and was sustained despite a severe crisis, and provides a comparison with the monetary-financial history of the US. The euro experiment can be understood as risk-sharing through a currency that is issued by a supranational central bank. A single currency shares liquidity risks by creating larger markets for all financial assets. A single monetary policy responds to business cycles in the currency area as a whole rather than managing the path of one dominant economy. Mechanisms of risk-sharing become institutions of monetary solidarity if they are consciously maintained, but they will periodically faceopposition in member states. This book argues that diversity of membership is not an economic obstacle to the success of the euro, as diversity increases the potential gains from risk sharing. But political cooperation is needed to realize this potential, and such cooperation is up against collective action problems which become more intractable as the parties become more diverse. Hence, risk-sharing usually comes about as a collective by-product of national incentives. This political-economic tension can explain why thegains from risk-sharing are not more fully exploited, both in the euro area and in the US dollar area. This approach to monetary integration is based on the theory of collective action when hierarchy is not available as a solution to inter-state cooperation. The theory originates with Keohane and Ostrom (1995) and it is applied in this book, taking into account the latest research on the inherent instability of financial market integration.