pricing-decision-lite / docs /Technical_Brief.md
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Pricing Decision — Technical Summary


1. Purpose

The difficulty of pricing under uncertainty is not estimating demand, but deciding which price can be safely deployed.

Prices that maximize expected profit often expose unacceptable downside risk, leading to reversals, overrides, and erosion of trust in pricing decisions.

This system addresses the technical question:

How should prices be selected when profit distributions—not point estimates—matter?


2. Data Basis

Two operating modes are supported:

Synthetic Mode

  • controlled elasticity parameter
  • additive demand noise
  • known cost structure
  • fully reproducible

Used to demonstrate idealized pricing behavior.

Observational Retail Mode (UCI, local only)

  • transactional retail data
  • time-varying prices
  • non-randomized price changes
  • aggregated per period

Elasticity estimates in this mode are observational, not causal.


3. Model Structure

Demand is modeled using a log–log specification. Parameter uncertainty is captured via bootstrap resampling.

The objective is distributional robustness, not causal identification.


4. Profit Evaluation

For each candidate price:

  • profit distributions are computed
  • median profit represents expected outcome
  • downside quantiles (q10 or q5) represent risk exposure

All profit values are expressed per aggregation period.


5. Decision Logic

Candidate prices are evaluated within a constrained grid around the current median price.

Decisions follow explicit governance rules:

  • Feasibility: at least one price must yield positive median and downside profit
  • Leverage: price must materially affect profit
  • Risk: downside exposure must remain within relative and absolute caps

Violations trigger HOLD or NO-GO outcomes.


6. Output

The system produces:

  • decision state (OPTIMIZE / HOLD / NO-GO)
  • recommended deploy price
  • profit distribution diagnostics
  • traceable justification metrics

This design prioritizes auditability, explainability, and governance over model complexity.


Closing Position

Pricing under uncertainty is a decision problem, not a curve-fitting exercise.

This system converts uncertain demand response into deployable pricing actions that remain defensible under review, volatility, and downside exposure.