One or two monies?

The set of incentive-feasible allocations is examined in a dynamic quasi-linear environment where agents lack commitment and have private information over their idiosyncratic characteristics. When record-keeping is available, the first-best allocation is implementable in a set of sufficiently patient economies. When record-keeping is limited to one money, this set is strictly smaller—except when private information is absent. When record-keeping is expanded, but limited to two monies, the set of economies for which the first-best is implementable corresponds to that of record-keeping, even when private information is present. We further demonstrate that two monies are a perfect substitute for record-keeping.