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Nash Equilibrium

Competitive Exclusion: Two Things Cannot Want Exactly the Same Thing

July 25, 2026·8 min read

Species with identical needs cannot coexist — a small consistent advantage compounds until one is gone. Which means anything living side by side must differ, and finding how is informative.

The Prisoner's Dilemma: When Two Rational People Both Lose

July 24, 2026·10 min read

Betraying your partner is the correct choice no matter what they do. So both of you betray, and both of you serve five years instead of one. No error was made — and that is exactly the problem.

Nash Equilibrium: Why Everyone Stays Somewhere Nobody Likes

July 24, 2026·9 min read

Two petrol stations cut prices until neither can move without losing. Nobody wanted the result, everyone behaved sensibly, and it held anyway — because stable and good are different properties.

The Thucydides Trap: When Rising and Established Powers Meet

July 24, 2026·8 min read

A rising power wants influence matching its strength; an established one sees each concession as erosion. Both are sincere, neither needs to want conflict, and the pressure builds anyway.