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V(n)∝n(n−1)V(n) \propto n(n-1)

Why this formula appears here

That last detail is the fact worth sitting with, because it is a fact rather than an inference: a protocol adopted natively by its author’s competitors, while still under that author’s sole governance, is an arrangement institutional participants have reasons beyond altruism to want changed. A shared specification only pays off once enough independent parties are using the same one — a dynamic economists have long formalized informally as a network externality, where a network’s value scales not with the number of participants but with the number of pairs of participants able to interoperate: V(n)∝n(n−1)V(n) \propto n(n-1). This is a coarse model — it treats every pair as equally valuable and…

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VV

Symbol V

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nn

Symbol n

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Published contexts (1)

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V(n)∝n(n−1)V(n) \propto n(n-1)

Equation 2 · AI Infrastructure

Tool Protocols and the Model Context Protocol in 2035 — Scenarios, Signals, and Falsifiable Predictions

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

That last detail is the fact worth sitting with, because it is a fact rather than an inference: a protocol adopted natively by its author’s competitors, while still under that author’s sole governance, is an arrangement institutional participants have reasons beyond altruism to want changed. A shared specification only pays off once enough independent parties are using the same one — a dynamic economists have long formalized informally as a network externality, where a network’s value scales not with the number of participants but with the number of pairs of participants able to interoperate: V(n)∝n(n−1)V(n) \propto n(n-1). This is a coarse model — it treats every pair as equally valuable and…

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