Lux(λ) |光灵|GEB|Jan 30, 2026 00:50
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Game theory is not a tool of social sciences, but a characterization of social systems using natural science methods.
It attempts to use structures of the same level as physics to understand how order is generated under conditions of no center.
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Therefore, game theory itself is the connecting point between natural sciences and social sciences.
And at this connection point, the person who understands the most deeply is John Nash.
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The two most important jobs of Nash's life, seemingly unrelated, are actually isomorphic:
Nash embedding theorem
Nash non cooperative game equilibrium
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The Nash embedding theorem solves:
How to continuously and completely embed non Euclidean geometry into Euclidean space.
The essence is the unity of continuity and completeness.
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The Nash equilibrium solves:
How can individual rationality converge into a stable structure without a center and forced coordination.
This is an issue of the completeness of the social system.
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One is the unity of geometry,
One is the unity of the game.
Different forms, isomorphic structures.
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Von Neumann's cooperative game implies a community prior:
Rules, alliances, and allocations all pre-set a central structure.
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Nash's non cooperative game completed the "completeness" of this theory:
Under the premise of no center, the system can still spontaneously stabilize.
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This is a characteristic of natural systems, not artificial systems.
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The physical world has already given corresponding structures:
particle ↔ individual
field ↔ Community/Consensus
force ↔ game theory
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The field does not exist a priori,
It comes from the superposition of interactions between particles.
But the force also depends on the existence of the field.
This is a decentralized, self consistent structure.
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Bitcoin, It is the engineering implementation of this structure in the social system.
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In Bitcoin:
Consensus ≈ Field
Game ≈ Action Force
Miners/nodes ≈ peer particles
Stable state of ledger ≈ minimum energy state
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The consensus of Bitcoin does not come from trust, authority, or governance,
And it comes from sustained non cooperative games between peer individuals.
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Satoshi Nakamoto explicitly stated in the abstract of the white paper that:
A decentralized system must be expressed using the minimum structure.
This structure is a consensus mechanism for property rights under time evolution.
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In the conclusion, he emphasized again:
No center is not "simple",
But rather a stable structure formed under strong constraints.
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This is the engineering expression of Nash's idea:
It's not about designing order,
But rather designing the conditions for generating order.
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Therefore, the essence of no central consensus is not the system,
But rather a social field.
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It was not established,
But it is naturally formed from the game of equivalent individuals.
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If Bitcoin was designed by humans,
It is most likely not the work of economists,
Not a work of political philosophers,
But rather——
A Nash like idea naturally emerges in the world of engineering.
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