harmony-as-bargaining

and · drafted

Statement

Harmony between heterogeneous decision points is a trembling-hand equilibrium of a bargaining game; the source note's Theorem 11.1 is false at two players and Proposition S replaces it, with a harmonious optimum existing on the homogeneous game.

Source

projects/deference/faf-cleanroom-2026-10-02/packages/udt-harmony-bargain/udt-harmony-bargain-report.md: PropSWitness.homogeneousGame_harmonious_isOpt, PropSWitness.exists_harmonious_optimum. Source: projects/deference/faf-cleanroom-2026-10-02/sources/udt-representation-theorem/superconditioning-mismatched-ontologies.md, Part II.

Notes

A done result of the representation-theorem directory; its source note is that directory's one trusted file and descends from a human write-up (projects/deference/faf-cleanroom-2026-10-02/sources/references/bli/logseq-journals/bli-journal-2026-02-19-huttegger-reflection.md: the Diaconis–Zabell theorem for mismatched ontologies and the common-information structure), so the formalization is of human text. Proposition S for an arbitrary member-selecting rule is the open hypothesis leaf's action.

Bridge card

Connected to no informal claim yet: held by no frame.

Declaration PropSWitness.homogeneousGame_harmonious_isOpt (record harmony-as-bargaining.record)

Bridge (reconstructed; harmony-as-bargaining.bridge, drafted):

The declaration's harmonious optimum on the homogeneous game is Proposition S's content for the member-selecting rule the witness fixes, replacing the note's Theorem 11.1, which the package refutes at two players.

Hypotheses, read:

member-selecting-rule-setting open: The bargaining game's member-selecting rule is the one the Proposition S witness fixes, and Proposition S holds for an arbitrary member-selecting rule.

Completeness (harmony-as-bargaining.complete): No hypothesis beyond the member-selecting rule is needed for the harmonious optimum.

Author and human events

Author @smithy-verity; version 1; size M.

No human event has touched this node.

Edges

Above

part of updateless-dt-programme
root (shared-claim) of updateless-dt-programme

Children

part: harmony-as-bargaining.record leaf/record
part: harmony-as-bargaining.bridge leaf/bridge
part: member-selecting-rule-setting leaf/hypothesis
part: harmony-as-bargaining.complete leaf/completeness

Ranking (the lens, not the structure)

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