Capital Volume I Production Dynamics Reference

Technical reference for the three Capital Volume I production dynamics mechanisms implemented in Feature 021. These mechanisms model why tensor values change — the causal engines behind value production, wage discipline, and wealth seizure.

Reserve Army of Labor 

Data Types 

ReserveArmyState Fields
Field	Type	Description
`fips_code`	`str[5]`	County FIPS code
`year`	`int`	Calendar year (2005–2030)
`floating_reserve`	`int >= 0`	Workers between jobs (approx. U-3 count)
`latent_reserve`	`int >= 0`	Underemployed/discouraged (approx. U-6 − U-3)
`stagnant_reserve`	`int >= 0`	Chronic irregular employment (PTER count)
`pauperized`	`int >= 0`	Unable to work (Census disability + institutionalized)
`labor_force`	`int > 0`	Total civilian labor force

Computed properties (not stored):

total_reserve: floating + latent + stagnant (excludes pauperized per Marx)
reserve_ratio: total_reserve / labor_force, clamped to [0, 1]

ReserveArmyDynamics Fields
Field	Type	Description
`fips_code`	`str[5]`	County FIPS code
`tick`	`int >= 0`	Simulation tick
`mechanization_displacement`	`int >= 0`	Workers displaced by automation this tick
`firm_failures`	`int >= 0`	Workers from bankrupt enterprises
`expansion_absorption`	`int >= 0`	Workers hired during expansion
`emigration`	`int >= 0`	Workers leaving territory

Computed: net_inflow = (mechanization_displacement + firm_failures) - (expansion_absorption + emigration)

Wage Pressure Formula 

The wage pressure coefficient maps reserve_ratio to a multiplicative wage reduction using a bounded sigmoid:

\[\text{raw}(r) = \frac{1}{1 + e^{-k(r - r_0)}}\]

\[\text{baseline} = \text{raw}(0)\]

\[\text{wage\_pressure}(r) = C \cdot \frac{\text{raw}(r) - \text{baseline}}{1 - \text{baseline}}\]

Where:

\(r\) = reserve_ratio ∈ [0, 1]
\(k\) = sigmoid steepness (default: 20.0)
\(r_0\) = sigmoid midpoint (default: 0.08)
\(C\) = ceiling (default: 0.5, prevents total wage elimination)

The wage is then modified:

\[w' = w \cdot (1 - \text{wage\_pressure})\]

ReserveArmyDefines Parameters
Parameter	Default	Range	Description
`sigmoid_k`	20.0	(0, 100]	Sigmoid steepness
`sigmoid_r0`	0.08	(0, 1]	Reserve ratio at sigmoid midpoint
`wage_pressure_ceiling`	0.5	(0, 1]	Maximum wage pressure (prevents total elimination)
`min_employed_fraction`	0.01	[0, 1]	Minimum fraction that must remain employed

Implementation: babylon.economics.reserve_army.calculator.DefaultWagePressureCalculator

System: babylon.engine.systems.reserve_army.ReserveArmySystem — Position 5 in _DEFAULT_SYSTEMS

Dispossession Events 

Data Types 

DispossessionType Enum (8 categories)
Value	Description
`FORECLOSURE`	Bank seizure of mortgaged property
`EVICTION`	Removal of tenant
`TAX_SALE`	Seizure for unpaid property taxes
`EMINENT_DOMAIN`	State seizure for public use
`WAGE_THEFT`	Unpaid wages, tip theft, misclassification
`INCARCERATION_SEIZURE`	Asset forfeiture from carceral system
`PENSION_DEFAULT`	Corporate bankruptcy eliminating earned pension
`GENTRIFICATION_DISPLACEMENT`	Forced relocation due to rent increases

TerritoryDispossessionState Fields
Field	Type	Description
`fips_code`	`str[5]`	County FIPS code
`year`	`int`	Calendar year (2005–2030)
`foreclosure_rate`	`float [0, 1]`	Foreclosures per mortgaged unit
`eviction_rate`	`float [0, 1]`	Evictions per renter household
`displacement_rate`	`float [0, 1]`	Net out-migration due to housing costs
`concentrated_ownership`	`float [0, 1]`	Fraction owned by institutional investors
`absentee_landlord_share`	`float [0, 1]`	Fraction of rentals owned by non-residents

Intensity Formula 

Composite dispossession intensity is a weighted sum of rate components:

\[I = w_f \cdot r_f + w_e \cdot r_e + w_d \cdot r_d + w_t \cdot c_o + w_m \cdot a_l\]

Where:

\(r_f, r_e, r_d\) = foreclosure, eviction, displacement rates
\(c_o, a_l\) = concentrated ownership, absentee landlord share
\(w_*\) = configured weights (see table below)

Result is clamped to [0, 1].

DispossessionDefines Weights
Parameter	Default	Description
`weight_foreclosure`	0.40	Foreclosure events
`weight_eviction`	0.30	Eviction events
`weight_displacement`	0.15	Gentrification displacement
`weight_tax_sale`	0.05	Tax sale events
`weight_eminent_domain`	0.02	Eminent domain
`weight_wage_theft`	0.03	Wage theft
`weight_incarceration_seizure`	0.03	Incarceration-related seizure
`weight_pension_default`	0.02	Pension default
`deadweight_loss_fraction`	0.05	Fraction of transferred value lost (not received)

Value Transfer Accounting 

All value transfers maintain balanced accounting:

\[V_{\text{total}} = V_{\text{received}} + V_{\text{deadweight}}\]

\[V_{\text{deadweight}} = V_{\text{total}} \cdot f_d\]

Where \(f_d\) is the deadweight_loss_fraction (default 0.05).

Transfers are clamped to available wealth — a territory’s wealth cannot go negative.

Implementation: babylon.economics.dispossession.intensity.DispossessionIntensityCalculator

System: babylon.engine.systems.dispossession_events.DispossessionEventSystem — Position 8 in _DEFAULT_SYSTEMS

Working Day Classification 

Data Types 

ExploitationMode Enum
Value	Description
`ABSOLUTE_DOMINANT`	Long hours, low productivity growth
`RELATIVE_DOMINANT`	Standard hours, high productivity growth
`MIXED`	Blend of both modes

WorkingDayState Fields
Field	Type	Description
`fips_code`	`str[5]`	County FIPS code
`naics_sector`	`str[2]`	2-digit NAICS sector code
`year`	`int`	Calendar year (2005–2030)
`avg_weekly_hours`	`float [0, 168]`	Average actual hours worked per week
`labor_intensity_index`	`float > 0`	Output per hour relative to baseline (1.0 = baseline)

Classification Logic 

\[\begin{split}\text{mode} = \begin{cases} \text{ABSOLUTE} & \text{if } h > h_a \text{ and } i < i_l \\ \text{RELATIVE} & \text{if } h \leq h_r \text{ and } i > i_h \\ \text{MIXED} & \text{otherwise} \end{cases}\end{split}\]

WorkingDayDefines Thresholds
Parameter	Default	Description
`absolute_hours_threshold` (\(h_a\))	45.0	Hours above which = ABSOLUTE (with low intensity)
`relative_hours_threshold` (\(h_r\))	40.0	Hours at/below which = RELATIVE (with high intensity)
`intensity_threshold_high` (\(i_h\))	1.2	Intensity above which = RELATIVE (with low hours)
`intensity_threshold_low` (\(i_l\))	1.1	Intensity below which = ABSOLUTE (with high hours)
`absolute_visibility`	1.0	Consciousness visibility for ABSOLUTE
`relative_visibility`	0.3	Consciousness visibility for RELATIVE

Visibility Modifier 

The visibility modifier affects consciousness dynamics — absolute exploitation is visible to workers (long hours are experienced directly) while relative exploitation is invisible (productivity gains are abstract):

\[\begin{split}v = \begin{cases} v_a & \text{if ABSOLUTE} \\ v_r & \text{if RELATIVE} \\ v_r + t \cdot (v_a - v_r) & \text{if MIXED} \end{cases}\end{split}\]

Where \(t = \frac{h - h_r}{h_a - h_r}\), clamped to [0, 1].

Implementation: babylon.economics.working_day.classifier.DefaultWorkingDayClassifier

Data Sources (3NF Schema)

Fact Tables Added (Feature 021)
Table	Primary Key	Description
`fact_bls_unemployment_decomposition`	(county_id, time_id)	County-level LAUS: labor_force, employed, U-3, U-6, PTER, discouraged, marginally_attached
`fact_eviction_lab_filing`	(county_id, time_id)	Eviction filings, executions, rates, renter households
`fact_foreclosure_rate`	(county_id, time_id)	Foreclosure filings, completions, rates, mortgaged units
`fact_census_institutional_ownership`	(county_id, time_id)	Housing tenure, institutional/absentee ownership, renter migration
`fact_bls_productivity`	(industry_id, time_id)	Avg weekly hours, hourly earnings, output/hour, unit labor costs

Event Types 

Four new EventType members:

Event Type	Description
`RESERVE_ARMY_PRESSURE`	Reserve army wage pressure applied to territory
`DISPOSSESSION_EVENT`	Aggregate dispossession recorded for territory-tick
`VALUE_TRANSFER`	Inter-territory value transfer from dispossession
`EXPLOITATION_MODE_SHIFT`	Exploitation mode reclassified for territory-sector

System Execution Order 

The simulation engine executes 18 systems in materialist causal order:

#	System	Purpose
1	VitalitySystem	Biological cost + death
2	TerritorySystem	Land state updates
3	ProductionSystem	Value creation
4	TickDynamicsSystem	Economic state evolution
5	ReserveArmySystem	Wage pressure from unemployment (Feature 021)
6	SolidaritySystem	Political organization
7	ImperialRentSystem	Value extraction
8	DispossessionEventSystem	Value transfer from dispossession (Feature 021)
9	DecompositionSystem	LA decomposition
10	ControlRatioSystem	Guard:prisoner ratio
11	MetabolismSystem	Environmental degradation
12	SurvivalSystem	Risk assessment
13	StruggleSystem	Action/revolt
14	ConsciousnessSystem	Ideological drift
15	ContradictionSystem	Tension aggregation
16–18	Field Topology Systems	Contradiction field, derivatives, edge transitions