Metcalfe's Law is used to explain the concept of switching costs.

Question

BlackTom AI · Accepted Answer

Metcalfe's Law states that the value of a communications network is proportional to the square of the number of its users (commonly expressed as V ∝ n(n − 1)/2, often approximated as V ∝ n^2). It is a model of network value and network effects, not a definition of switching costs.

1) Relevant knowledge points and concepts
- Metcalfe’s Law: network value grows roughly with the number of possible pairwise connections among n users, V ≈ k · n(n − 1)/2 ≈ k · n^2.
- Network effects: when each additional user increases the value of the service to others.
- Switching costs (lock-in): the economic, time, learning, data migration, contractual or compatibility costs a user incurs when moving from one supplier or platform to another.

2) Step-by-step reasoning
- Metcalfe’s Law quantifies how total network value increases as users join (a descriptive law about benefits accruing from user count).
- Switching costs are barriers to change caused by resources invested in a platform (e.g., data, training, contractual penalties).
- While strong network effects (implied by Metcalfe’s Law) can make switching unattractive (because leaving loses network value), Metcalfe’s Law itself explains value growth, not the specific mechanisms that create switching costs.

3) Calculations / intermediate steps (example)
- For n = 10 users, pairwise connections = n(n − 1)/2 = 10·9/2 = 45 possible connections → value ∝ 45 (or ≈100 if using n^2 approximation). This shows quadratic growth of network value as users increase.

4) Why the correct answer is correct
- The statement claims Metcalfe’s Law is used to explain switching costs. That is inaccurate: Metcalfe’s Law explains network value and network effects; switching costs are a distinct concept (though network effects can contribute to or amplify switching costs). Therefore the statement is false.

5) Why the other option (True) is incorrect
- Saying True would conflate explanation of value growth with the separate economic concept of switching costs. Metcalfe’s Law does not model learning costs, contractual penalties, data migration difficulty, or other concrete components of switching costs.

6) Conclusion
- The correct answer is False, which matches the provided answer.

Metcalfe's Law is used to explain the concept of switching costs.单项选择题

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