Modeling Wealth, Connections, and Education in Survival Systems
Wealth evolves yearly in the model as the difference between earnings and spending, adjusted for system friction. Earnings come from basic and skilled components. Basic income is available to everyone and depends on health and effort: the formula basic = 0.012 × Health^0.5 × Effort^0.3 shows diminishing returns from extra hustle.
Skilled income requires education: skilled = 0.02 × Education × Effort × Intelligence^0.5 × Health^0.5. Without education, it's zero. Redistribution mimics taxes and benefits: below 0.35 wealth, add +0.02 × (0.35 - Wealth) × redistribution_strength; above it, subtract -0.015 × (Wealth - 0.35) × redistribution_strength.
Spending includes a fixed minimum of 0.003 plus a variable part 0.01 × Wealth × (1 + 0.5 × (1 - Health)), where poor health ramps up medical costs. Inherited background adds inheritance_factor × 0.005. Quality of life (Q) feedback boosts growth: feedback = 0.03 × Q × friction + 0.12 × Q² × friction, multiplied by 0.4 × (1 - Wealth). Wealth has an upper cap.
Net change: delta = (earnings - spending + inheritance) × friction.
Dynamics of Social Connections
Social connections grow from basic socializing 0.008 × Effort^0.3 and status boosts 0.015 × (Wealth + Education) / 2 × Effort^0.3 + basic. Disasters erode them: 0.05 × (1 - Living_Conditions)^2 × 0.3. Net delta: delta = (status_growth - disaster_loss) × friction.
Connections impact the model:
- Bolster health via social support.
- Enhance education through better infrastructure.
- Motivate effort in supportive environments.
Feedback loop: Connections += feedback × 0.3 × (1 - Connections). Range: 0–1. Random fluctuations are asymmetric: isolation gets more positive shocks, networks more negative ones.
Stages and Factors of Education
Education starts at zero and follows an age-based curve:
- Up to 7 years: slow buildup of basic skills.
- 7–12 years: speedup (school years).
- 12–22 years: peak velocity.
- 22–30 years: slowdown.
- After 30: exponential decay.
Acceleration factors:
- Intelligence with diminishing returns.
- Effort scales linearly.
- Health is essential.
Innate traits: learning potential, forgetting rate (partly inherited). After 25, forgetting accelerates, but adaptability and accumulated knowledge provide a buffer.
Random events are asymmetric: skill losses hit easier than gains, which depend on intelligence and social infrastructure.
Feedback Loops in Education
Education originally lacked direct quality-of-life boosts, but data demanded tweaks. Coleman (1966): family background explains more variance than schools. Sirin (2005): SES-achievement correlation ~0.30. Heckman: early investments (under 5) yield 7–10% returns. WHO: malnutrition drops IQ by 5–11 points. Chetty: moving to better neighborhoods boosts college odds by +32%.
Influence channels:
- Income: access to resources.
- Health/nutrition: cognitive growth.
- Stability: less stress.
- Environment: norms and role models.
- Safety: cortisol control.
Model updated: Education += feedback × coefficient.
Key Takeaways
- Wealth self-reinforces parabolically via quality of life—the strongest loop.
- Connections erode nonlinearly from disasters but root in effort.
- Education peaks 12–22; post-25 forgetting slows with accumulation.
- Redistribution curbs inequality; spending rises with wealth and illness.
- Everything interconnects: connections boost health and effort, quality of life cyclically fuels growth.
— Editorial Team
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