The paper establishes a basis in economic theory for solving the problem of how to make comparisons of aggregate quantities and price levels across two or more geographic regions. To this end, two new classes of relative purchasing power measures are set out and the dual relationships between...

In aggregation theory, index numbers are judged relative to their ability to track the exact aggregator functions nested within the economy's structure. Within the monetary sector, Barnett, Liu, and Jensen (1997) compared two statistical index numbers: the Divisia monetary aggregate and the...