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New Fundamental Law of Network Economics
intersys writes "A new fundamental law of economics has been formulated by Rod Beckstrom, former Director of the National Cyber Security Center. In Words: The value of a network equals the net value added to each user's transactions (PDF) conducted through that network, valued from the perspective of each user, and summed for all. It answers the decades-old question of 'how valuable is a network.' It is granular and transactions-based, and can be used to value any network: social, electronic, support groups, and even the Internet as a whole. This new model or law values the network by looking from the edge of the network at all of the transactions conducted and the value added to each. One way to contemplate the value the network adds to each transaction is to imagine the network being shut off and what the additional transactions' costs or loss would be. Beckstrom's Law replaces Metcalfe's law, Reed's law, and other concepts which proposed that the value of a network was based purely on the size of the network (and in the case of Metcalfe's law, one other variable)."
Me too. I skimmed through the paper; he just defines some functions, and he calls his new model Beckstrom's Law. How is his definition a law?
But surely there are replacement wives available. So is the value of my wife in the positive things that I get from her currently, or is it only relative to the potential value of other wives, or of the freedom of having no wife at all?
Clearly, sir, you need a Redundant Array of Inexpensive Wives (RAIW). Twins (RAIW-1) are OK but RAIW-5 with lots of hot spares works better. Most admins agree that products with large rack mounts are better. A lot of hot air is generated resulting in increased cooling requirements. Also an astounding amount of noise, OSHA requires earplugs in that environment. This solution is popular in certain datacenters in Utah. Some folks claim a competing product exists, the Redundant Array of Inexpensive Girlfriends (RAIG) but everyone I've met agrees it usually ends up pretty expensive, the opposite of the original acronym, and there are often serious interoperability and EM compatibility issues. Finally w/ regards to financing there is considerable debate about rent vs purchase, short term lease vs long term lease, mileage reimbursement, etc. Rent to own agreements usually don't work out. Maintenance costs are somewhat beyond the realm of this email, but can be extraordinarily high. Anyway good luck with your network, Sir.
"Science flies us to the moon. Religion flies us into buildings." - Victor Stenger
It's handy that he named his observation "Beckam's Law" for us, because then we can apply inviolet's law:
A new discovery is headline-grabbing FUD/bunk if its discoverer names it after himself. Whereas a new discovery is probably useful if others name it after its discoverer.
Think of it as an extrapolation of the importance of peer review. Pretty handy, eh? That's why I named it after mys-- aw, damnit!
FATMOUSE + YOU = FATMOUSE
And surely Beckstrom must've realised this, since its trivial to get to Metcalfe's law from his equations.
Beckstrom:
Vj = Sum(i=1..n, V[i,j]) = Sum(i=1..n, Sum(k=1..n, B(i,k)) - Sum(l=1..n, C(i, l)))
= Sum(i=1..n,Sum(k=1..n, B(i, k) - C(i, k))).
= Sum(i=1..n,Sum(k=1..n, Sum(z=1..n, B(i, k) - C(i, k))/n ))
Let A(i) = Sum(z=1..n, B(i, k) - C(i, k))/n , the average benefit to user i of the network. Then:
Vj = Sum(i=1..n, Sum(z=1..n, Ai))
= Sum(i=1..n, n*Ai)
= n* Sum(i=1..n, Ai)
I'm sure you can see where I'm going with this now...
Let A = Sum(i=1..n, A(i))/n , the average benefit to any user of the network.
Vj = n^2 * A. Oh wait - that's Metcalfe's law. All Beckstrom's done here is give an expansion of the average benefit per user.