4.6 KiB
CORPUS-0006
Confirmation Has A Cost
Status: Training Corpus Seed
Layer: Layer_2--Uncertainty
Purpose: Teach that reducing uncertainty requires time, effort, access, and sometimes coin, and may reduce or close the opportunity being investigated
Repository Path: docs/training/corpus/Layer_2--Uncertainty/CORPUS-0006-confirmation-has-a-cost.md
0. Scenario
A trader in Ostia hears that oil prices are high in Capua.
He can act immediately on uncertain information.
Or he can seek confirmation first.
Confirmation may improve decision quality.
But confirmation is not free.
It may cost time, coin, access, attention, and opportunity.
1. Initial Report
A porter says:
Oil buyers in Capua are paying high prices.
The trader does not know whether the report is true, stale, exaggerated, or specific to one buyer.
He considers confirming the report before acting.
2. Confirmation Options
| Option | Cost | Benefit |
|---|---|---|
| ask a second source at the quay | low time | modest confidence |
| send a runner to a road contact | coin + time | stronger confidence |
| wait for next cart from Capua | time | fresh report |
| ask a trusted buyer by letter | long delay | high confidence if answered |
| inspect rival preparations | social risk + time | indirect evidence |
| reserve transport while checking | coin or obligation | preserves option |
Each option reduces uncertainty differently.
None is free.
3. Example: Immediate Action
If the trader acts immediately:
information_confidence = low
timing_advantage = high
confirmation_cost = 0
risk_of_wrong_price = high
He may profit if the report is accurate and rivals have not moved.
He may lose if the report is wrong.
4. Example: Delayed Confirmation
If the trader waits two days for confirmation:
information_confidence = higher
timing_advantage = lower
confirmation_cost = time + possible lost cart space
risk_of_missed_opportunity = higher
By the time he confirms the price, others may have acted.
The confirmed opportunity may no longer exist.
5. Arithmetic Example
Initial expected venture:
expected sale price = 22 asses
total cost = 16 asses
expected profit = 6 asses
The trader spends 2 asses to confirm the report and loses one day.
If the price remains high:
sale value = 22 asses
total cost = 16 + 2 confirmation cost
result = 4 asses profit
If delay allows rivals to reach Capua first and price falls:
sale value = 18 asses
total cost = 18 asses
result = 0 profit
Confirmation improved knowledge but narrowed the margin.
6. Correct Model Behavior
The model should treat confirmation as an action with cost.
It should track:
| Category | Meaning |
|---|---|
| uncertainty_reduction | what becomes better known |
| confirmation_cost | coin, time, obligation, or access spent |
| opportunity_decay | how the opportunity changes while confirming |
| timing_advantage_loss | what rivals may gain |
| remaining_margin | profit after confirmation cost |
| confidence_after_confirmation | improved but not necessarily perfect knowledge |
Confirmation reduces some risk.
It may create other cost.
7. Incorrect Model Behavior
The model should not:
- assume verification is free
- assume waiting only improves decisions
- ignore lost time
- ignore rival action during confirmation
- ignore confirmation cost in final arithmetic
- treat confirmation as perfect knowledge
- force immediate action as always better
- force waiting as always safer
Both immediate action and confirmation can be rational.
8. Decision Questions
The trader must ask:
- how uncertain is the report?
- how large is the expected margin?
- how fast can the opportunity close?
- what does confirmation cost?
- how much confidence does confirmation add?
- who else may act while I verify?
- can I reserve the option while confirming?
- can I reduce exposure instead of fully waiting?
9. Layer-0 And Layer-1 Concepts Used
This example uses:
Layer_0/CORPUS-0006-delay-is-economic-costLayer_0/CORPUS-0007-information-arrives-unevenlyLayer_0/CORPUS-0008-rumor-is-uncertain-informationLayer_0/CORPUS-0012-every-venture-risks-lossLayer_0/CORPUS-0018-rivalry-changes-conditionsLayer_1/CORPUS-0003-arithmetic-resolves-the-ventureLayer_1/CORPUS-0005-rumor-before-confirmed-priceLayer_2/CORPUS-0005-hidden-true-state-vs-known-state
10. Success Condition
If the model stops treating confirmation as free certainty and starts treating it as a cost-bearing action that may improve knowledge while reducing opportunity, this file is functioning correctly.