Measuring I/O-Production in Digital Economy

: Productivity is an all-power measure of a national economy and stays beside the main aggregates of the system of national accounts, as the national income Y (a proxy of GDP), the total output X and the circulating capital K , which is the total value of the means of production. { In this paper a notion of the measurement of the productivity of an economy, also called the productiveness of the economy, is proposed. Two algebraic properties have to exist. The (cid:12)rst property (a) has to guarantee that the theorem of Perron-Frobenius [3] can be applied to the appropriate matrices of a production system, as the commodity (cid:13)ow matrix, appearing in Input-Output Tables 1 . The second property (b) has to guarantee the productivity of the economy, i.e., the vector of (cid:12)nal demand (Table 1) is semi-positive.