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Paper Summaries/The Missing-System Pricing Law v2.4
FOUNDATIONALPaper #69

The Missing-System Pricing Law: Decision-Target Recovery from Price-Formation Inputs and Realized Prices

Working Paper v2.4 gives separate tests for whether a price-formation process's complete inputs recover a declared decision target and whether its realized price preserves that target. It also specifies what payoff-orthogonal disclosure can change and provides an audit protocol for measurement, valuation, rules, and anticipated consequences.

THEOREM TYPE
Foundational
general framework under stated conditions
SOURCE STATUS
Summary + deck generated
verified by paper record
AVAILABLE MODES
OPEN HTML DECK ↗Deck mode is an on-site reading view, not a PowerPoint download.
Theorem status: evidence-traced claim under the cited paper's assumptionsFalsification: show the same game preserving system welfare without changing the payoff structure

KEY FINDINGS

THE MISSING-SYSTEM PRICING LAW
Let q map admissible situations to a price process's complete declared inputs, let P = p ∘ q be the realized price, and let T be the declared decision target. T is recoverable from q exactly when T is constant on every q-fiber. T is recoverable from P exactly when T is constant on every P-fiber. Therefore price recovery implies input recovery; input recovery alone is insufficient when p compresses target-relevant distinctions.

PLAIN ENGLISH

A price cannot preserve a distinction that never reached its complete inputs. Even when the inputs contain the needed information, the pricing rule can erase it by assigning the same price to situations that require different decisions.
EVIDENCE & LIMITATIONS
  • Theorem status: evidence-traced claim under the cited paper's assumptions
  • Falsification: show the same game preserving system welfare without changing the payoff structure
REFERENCES / CITATION STATUS
Reference counts for this manuscript have not been published yet. Treat its citations as unverified until a source list is available.
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EXECUTIVE SUMMARY

The paper separates three questions often merged in discussions of unpriced system harm. The first asks whether complete price-formation inputs contain enough information for a declared decision. The second asks whether the realized price retains that information. The third asks whether disclosure changes incentives or only helps participants coordinate on an equilibrium already available. Two scoped institutional audits and six design questions turn those distinctions into a reproducible application protocol. The formal components are credited to their closest predecessors; the claimed contribution is the applied synthesis and audit architecture.

CASE STUDIES

Benchmark reform
The Wheatley Review documents changes in transaction evidence, administration, governance, oversight, and sanctions. The audit shows which parts of a price-forming architecture changed without claiming that the historical record supplies a complete equal-input witness.
Pharmaceutical distribution
Federal suspicious-order and ARCOS requirements define measurable monitoring and reporting paths. The paper treats the case as a prospective architecture test because transaction-level prices are needed for a completed price-fiber audit.

METHODOLOGY

Declare the decision and target first. Enumerate the complete inputs and the realized pricing map. Test whether two admissible situations share an input or price while requiring different target values. Then identify the actual measurement, valuation, rule, and expectation paths through which the target could affect conduct, and validate the resulting intervention against outcomes.

LITERATURE CONTEXT

The paper credits Kapp, Pigou, Coase, Arrow, Starrett, Samuelson, Grossman and Stiglitz, Grossman, Milgrom, Aumann, Cass and Shell, Greenwald and Stiglitz, Geanakoplos and Polemarchakis, Sen, d'Aspremont and Gevers, Ostrom, sustainability-disclosure research, and environmental asset pricing. It claims an applied, signal-specific audit framework rather than priority over the component mathematical results.

SOURCE QUESTIONS

WHY THIS MATTERS

For the economist
A structural claim about when bilateral optimization degrades the shared system. Read the formal statement and its stated axioms.
For the regulator
The constraint is physical or biological, so disclosure alone will not internalize it. The policy lever is to bound exposure, not to price it away.
For the executive
This is where a privately efficient decision can degrade the system the business depends on. The governance question is which decision records would make that system cost visible before it is normalized.
For the teacher
An on-site HTML deck and the expanded curriculum cover the argument, the evidence, and the measurement. Use the deck as a self-contained class session, then route deeper through the 45-50h core course or 100+h full curriculum.
For the affected community
In plain terms: who gains from the current arrangement, who pays for it, and what rule change would alter that split. The summary states each without jargon.
© 2026 Erik Postnieks · Independent Researcher · Salt Lake City