D-P-D’ Lifecycle Circuit

Why Babylon models intergenerational class reproduction as two interlocking circuits, and what happens when material stress forces them to desynchronize.

The Individual Lifecycle: D-P-D’

Every person in the simulation traverses three phases exactly once:

D (Dependent, pre-productive) – children and adolescents who receive socialization but produce no value. They consume household resources funded by P-phase labor.

P (Productive) – working-age adults who sell labor-power. This is where the daily \(C\text{-}M\text{-}C\) circuit (labor for wages for subsistence) operates. The P phase is the engine of value production and the site of exploitation.

D’ (Dependent, post-productive) – elderly, disabled, retired persons who no longer sell labor-power. Their material security depends on the legitimation bargain: the promise that exploitation endured during P will be compensated by security in D’.

The notation mirrors Marx’s circuit algebra deliberately. Just as \(C\text{-}M\text{-}C\) describes the worker’s daily exchange and \(M\text{-}C\text{-}M'\) describes capital’s self-expansion, the lifecycle phases map the temporal arc of labor-power from production to exhaustion.

Each tick, population flows between phases:

\[ \begin{align}\begin{aligned}\text{births} = \text{birth\_rate} \times \text{pop}_P\\D \xrightarrow{\text{rate}_{D \to P}} P \xrightarrow{\text{rate}_{P \to D'}} D' \xrightarrow{\text{rate}_{D' \to \text{death}}} \varnothing\end{aligned}\end{align} \]

Conservation holds: births enter D, deaths exit D’, and all transitions are rate-proportional. The system tracks aggregate cohort populations, not individual agents – a deliberate computational tractability choice that preserves the class-level dynamics without agent-level overhead.

The Class Reproduction Circuit: P-D-P’

The individual circuit is finite. But the class is not. This generation’s productive workers (P) raise the next generation’s dependents (D of generation 2), who become the next generation’s workers (P of generation 2). The class perpetuates via the reproductive circuit \(P_{g1} \to D_{g2} \to P_{g2}\).

The individual traverses D-P-D’ once. The class traverses P-D-P’ indefinitely. This distinction is the deepest theoretical commitment of the feature: the individual lifecycle is a line segment; class reproduction is a spiral.

Capital benefits from both circuits without paying for either. The shadow subsidy – the difference between the value of P-generation-2 labor-power and the wages paid to P-generation-1 for raising D-generation-2 – measures the unpaid reproductive labor externalized to households. This is the lifecycle analogue of the daily Department III gamma visibility shadow subsidy (see Reproductive Labor).

The Legitimation Bargain

The D’ phase depends on a social promise: endure exploitation in P and you will be secure in D’. This promise is not psychological. It is material, and the simulation measures it with a weighted legitimation index computed from five observable conditions:

Home ownership rate (weight 0.35) – the largest store of household wealth for most workers
Healthcare security (weight 0.30) – whether D’ medical costs are survivable
Retirement confidence (weight 0.20) – subjective assessment of D’ security
Pension coverage (weight 0.10) – employer-provided retirement access
Social Security replacement rate (weight 0.05) – federal floor under D’ income

The weight ordering is a design invariant reflecting authorial political judgment: home ownership matters more than pensions, which matter more than Social Security. Individual values are tunable in LifecycleDefines; the ordinal ranking is not.

The legitimation index classifies each county into one of three regimes:

CRISIS (index < 0.3): The D’ promise is not credible. Agitation energy routes to the George Jackson bifurcation (see George Jackson Bifurcation Model).
UNSTABLE (0.3 <= index < 0.5): The D’ promise is weakening. Risk accumulates.
STABLE (index >= 0.5): The D’ promise is credible. Acquiescence is maintained.

When the legitimation index is blended with agitation-inverse and fed into the bifurcation system, it creates a feedback loop: material deterioration of D’ conditions reduces legitimation, which increases agitation, which feeds the George Jackson bifurcation, which determines whether consciousness routes toward revolution or fascism.

Dual Circuit Interference

The two circuits – D-P-D’ (individual) and P-D-P’ (class) – run simultaneously. Under normal conditions they are synchronized: P-phase workers earn enough to fund both their own D’ security and the next generation’s D socialization. Under material stress, they desynchronize.

Five interference phenomena emerge:

Intergenerational austerity trap. When wage extraction accelerates, P-phase workers face a zero-sum choice: fund their own D’ security or invest in D-generation-2 child-rearing. They cannot do both. The individual circuit and the class circuit compete for the same finite resource pool.

Shadow subsidy extraction. Capital receives fully-formed P-generation-2 workers without paying the cost of D-generation-2 socialization. The generational shadow subsidy measures this gap. When it widens, households absorb more of the cost of producing labor-power while capital captures more of its value – the lifecycle dimension of increasing exploitation.

Dispossession short-circuit. Foreclosure or pension default extracts wealth from P-generation-1 and routes it to capital rather than through the P-D-P’ inheritance pathway to D-generation-2. A single dispossession event simultaneously degrades D’ security (individual circuit) and destroys the inheritance pathway (class circuit). This duality – hitting both circuits at once – is the core mechanism by which financial crisis converts into intergenerational class degradation.

Legitimation-fertility nexus. When the D’ promise collapses, workers respond in both circuits: in D-P-D’, agitation increases (George Jackson bifurcation); in P-D-P’, birth rates fall (it becomes irrational to raise children for a system that will not care for you). This creates a demographic feedback: legitimation crisis reduces reproduction, which alters the dependency ratio, which further stresses the D’ promise.

Sandwich squeeze. When both D’ (elderly parents) and D-generation-2 (children) simultaneously depend on P-phase workers, the sandwich generation effect degrades both current D’ security and next-generation class mobility outcomes. The dependency ratio \((D + D') / P\) measures this burden directly.

Inheritance and Class Mobility

At the D’ terminus, dying cohort members transfer wealth to the next generation. This transfer follows a Pareto distribution (shape \(\alpha = 1.5\), from the Federal Survey of Consumer Finances) where the top 1% owns approximately 33% of transferable wealth.

The resulting inheritance Gini is computed directly:

\[G_{\text{inherit}} = \frac{1}{2\alpha - 1}\]

At \(\alpha = 1.5\), this yields \(G = 0.5\) – inheritance is always more unequal than income for the same county.

But inheritance does not flow freely. End-of-life care costs consume a fraction (default 40%) of D’ wealth before it can transfer. The bottom 50% of families inherit net zero or negative – this emerges from the Pareto distribution, not from imposed per-class fractions.

Class mobility at the D-to-P transition is calibrated from Raj Chetty’s Opportunity Atlas. A child born in the bottom income quartile has a 44.5% probability of reaching the median (KFR pooled at P25). But this rate is not uniform: Black children face a 13.4 percentage-point gap, incarceration multiplies the premature exit rate by 2.8x, and early mortality multiplies it by 1.24x. These are structural modifiers on the D-to-P transition that reproduce inequality across generations through the class circuit itself.

Ideology Transmission

The D-to-P transition is not only economic. When children enter the productive phase, they carry ideology formed during the D phase. This ideology is a blend of two influences:

Caregiver influence (weight 0.7): family and community consciousness
Institutional hegemony (weight 0.3): schools, media, state apparatus

The transmitted ideology regresses toward the population mean (regression coefficient 0.4), reflecting the empirical reality that children’s political consciousness partially converges toward the social center, not fully reproducing parental extremism.

This mechanism is how revolutionary consciousness can – or cannot – transmit across generations. If P-generation-1 achieves revolutionary consciousness, caregiver influence transmits 70% of it to D-generation-2. But institutional hegemony pushes back, and regression toward the mean further dampens the signal. The net effect: revolutionary consciousness requires sustained intergenerational organizing, not a single generation of awakening.

Integration With Existing Systems

The lifecycle circuit does not operate in isolation. It feeds into and draws from several existing systems:

The SurvivalSystem uses the dependency ratio to modify subsistence burden. Counties with higher dependency ratios impose higher effective subsistence thresholds on P-phase workers, reducing wealth accumulation and P(S|A) – the probability of survival through acquiescence.

The ConsciousnessSystem receives legitimation crisis events. When legitimation drops below the crisis threshold, the resulting agitation feeds the George Jackson bifurcation, routing consciousness toward either revolution or fascism based on solidarity edge presence.

The CommunitySystem maintains the hypergraph layer where lifecycle phase communities (YOUTH, ADULT, ELDER from Feature 029) provide the qualitative membership structure. The lifecycle system provides the quantitative population dynamics that sit alongside these hyperedges.