Before revision:  In this way, starting from economic reasoning, we obtain a sound interpretation of the typical network variables in terms of thermodynamic quantities together with a strong consistency with microeconomic theory, and in particular with Walrasian\} describing the flow of a given commodity from agent i to agent j.
After revision:  This is defined as a sequence of nonnegative discrete random variables \{w_{ij\} describing the flow of a given commodity from agent i to agent j.