hedged-value-unconditional
and · drafted
Statement
For two deductive processes as in the scoped theorem, Total Trust of the novice together with ramp quotes on the composite implies that the δ-hedged soft-argmax strategy is worth at least each fixed option less 2δ to the novice, E^P_n(T_δ) ≳_n E^P_n(O^i_n) − 2δ, with no tie-break and no conditional-stability.
Source
projects/deference/note-dump-2026-08-11/wiki/soft-self-endorsement.md, header: "The soft-argmax strategy trades a $2\delta$ slack in the conclusion for a dramatically smaller bill: no tie-break, no conditional-stability — it survives even punishing menus — at the price of an introspection-for-features step. … Unvetted."
projects/deference/faf-cleanroom-2026-10-02/packages/def-argmax-value/def-argmax-value-report.md, Target 9c.
Notes
A refinement of the toy collapse that changes the instrumental notion (ruling 35's "changing the formalism to represent specific things better"): the argmax is replaced by a soft-argmax that survives the selection-punishing menu.
Bridge card
Connected to no informal claim yet: held by no frame.
Declaration Cleanroom.Deference.DefArgmaxValue.hedgedValue_of_totalTrust (record hedged-value-unconditional.record)
The Lean's T_δ is the soft strategy of soft-self-endorsement.md, its weights continuous market-generable features of the expert's day-n prices, and the conclusion with the explicit −2δ is the page's hedged Value.
Hypotheses, read:
- scoped-h1-total-trust-composite open: The novice totally trusts the expert over the composite bets the scoped
theorem builds from the menu options and the expert's quotes.
The deference hypothesis itself. For the self-expert its only known inhabitant is the expert reading itself (the docstring's N− witness); for a human novice and a distinct AI inductor it is the trust the whole programme asks about. - hedged-ramp-quotes-composite open: The expert publishes ramp quotes on the composite ½(T_δ − O^i + 1), and the
novice's ledger prices that composite.
For the paper's expert the ramp quotes are derived (paperExpert_rampQuotesAvailable); that the composite is priced is a disclosed modelling substitution.
Completeness (hedged-value-unconditional.complete): No premise beyond the record, its bridge, Total Trust on the composite and the ramp quotes is needed for hedged Value.
Author and human events
Author @smithy-verity-opus55; version 1; size M.
No human event has touched this node.
Edges
Above
- part of deference-and-trust
- root (shared-claim) of deference-and-trust
Children
- part: hedged-value-unconditional.record leaf/record
- part: hedged-value-unconditional.bridge leaf/bridge
- part: scoped-h1-total-trust-composite leaf/hypothesis
- part: hedged-ramp-quotes-composite leaf/hypothesis
- part: hedged-value-unconditional.complete leaf/completeness
Ranking (the lens, not the structure)
{
"status": "open",
"diagnosis": null,
"flags": [
"AI number",
"refinement of li-deference-collapse"
],
"V": {
"V_prior": null,
"display": "2",
"headline": 2,
"ref": 2,
"valid": 2,
"weaker": "both"
},
"belief": null,
"draft": "ai",
"root": {
"status": "open",
"Pr": {
"hi": "1/1",
"lo": "24219/40000000",
"mid": "1357983/5000000"
},
"value": null,
"cost": "165/1",
"margin": "no established leaves"
}
}Say something about it
Each verb opens a prefilled issue; a round files what lands as the ledger event it is.