Beckstrom’s law as an explicit economic model

The net present amount V of any arrangement j to any alone i is according to the sum of the net present amount of the account of all affairs beneath the net present amount of the costs of all affairs on the arrangement over any accustomed aeon of time t, as apparent in the afterward equation. The amount of the absolute arrangement is the arbitrary of the amount to all users, who are authentic as all parties accomplishing affairs on that network.

\sum_{i=1}^n V_{i,j} = \sum_{i=1}^n \sum_{k=1}^m \frac{B_{i,j,k}-C_{i,j,k}}{(1+r_k)^{t_k}}

where:

\sum{V_{i,j}} = amount of a arrangement j to all users

Vi,j = net present amount of all affairs to user i with account to arrangement j, over any time period

i = identifies one user of the network

j = identifies one network

k = identifies one transaction

Bi,j,k = the account amount of transaction k to alone i with account to arrangement j

Ci,j,k = the amount of transaction k to alone i with account to arrangement j

rk = the abatement amount of absorption to the time of transaction k

tk = the delayed time in years to transaction k

n = cardinal of individuals

m = cardinal of transactions