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The Equilibrium, Computed — an Interactive Annex to Memorandum No. 7

UNIFIED STATE · TOOLS · DIPLOMATIC INSTRUMENT

The Equilibrium, Computed — an Interactive Annex to Memorandum No. 7

The Roadmap to Ceasefire and Lasting Peace in Ukraine makes one engineering claim: the package is built as a Nash-style equilibrium — every actor gets enough of what it truly needs that cooperation beats defection. A claim like that is a condition on a payoff matrix, and a condition can be checked. The annex puts the memo’s levers on dials and lets anyone check it.

After the Checkpoint, the diplomatic wing gets the same treatment as the physics: from the metaphors back to the calculations. The seventeenth instrument rebuilds Memorandum No. 7’s Annex 1 as three live calculators. The matrix: each side holds the ceasefire or defects, and four dials — snapback severity (Annex 2), automaticity (the 48-hour no-veto trigger), guarantee strength (§4), and the relief ladder (§8) — decide which cell is the equilibrium. Press MEMO No. 7 and the peace cell is the only Nash equilibrium: even a betrayed party is better off holding, because the guarantees carry it. Press MINSK II and the matrix flips — both sides’ best reply is defection, which is the history. The ladder: Axelrod’s condition δ ≥ (T−R)/(T−P) computed live from the same dials, showing why the roadmap is phased — every rung raises the shadow of the future, and at the memo’s settings temptation falls below reward, so cooperation is the best reply at any horizon. The gamble: the Monte Carlo the memo cites, cast fresh in the browser — four thousand futures of continued war against the deal’s certain line.

THE FOUR SECTIONS
01The matrix. The 2×2 game with five dials and four presets — Memo No. 7, Minsk II, the Caribbean crisis, and no guarantees — with Nash cells marked live.
02The ladder. The iterated game: cumulative payoff of holding every round vs defecting once, the critical δ* computed from the dials, and the verdict — the ladder holds or breaks.
03The gamble. 4,000 Monte Carlo futures of continued war: the thin victory tail, the escalation tail that never empties, and the deal line that Pareto-dominates the expectation.
04The seams. Established canon (Nash, Axelrod, UNSCR 2231 automaticity, Korea 1953, the +64% civil-society finding); the model’s illustrative units, disputable by design; and Annex 4’s open blanks — which this tool makes playable.
Runs entirely in your browser · nothing is stored, nothing is sent · illustrative units 0–100 — the structure is the memo’s, the dials are yours.
SEAMS VISIBLE

The payoff numbers are not measured utilities and say so on every screen; the claim under test is structural — that peace is not the absence of temptation but a matrix in which temptation is the worse trade, buildable dial by dial. Real credibility is political before it is mathematical, and the memo’s own parameters (the X days, Y years, Z percent) are left blank for the parties to co-draft. The annex is that agenda made playable.

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LOVE & FREEDOM — ALWAYS