Day 347 · Dec 12

The Birthday of John Jay (1745) – Mathematics of the Supreme Court

John Jay was the first Chief Justice of the US Supreme Court. The mathematics of law: logic (deductive reasoning), probability (evidence), and game theory (plea bargaining). The Supreme Court’s decisions can be analysed using voting theory (ideological scaling, median voter theorem). The number of justices (9) is odd to avoid ties. Jay also negotiated the Jay Treaty – a game‑theoretic bargain. Law is applied mathematics: rules, precedence, and consistency. Even justice has an equation.

What is the ‘median voter theorem’? In a one‑dimensional policy space, the outcome of majority voting is the preference of the median voter. It explains why Supreme Court appointments matter.

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