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Models and Simulations

Jefferson edited this page May 15, 2026 · 2 revisions

Models & Simulations

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Standalone simulation models and analytical tools. Located in models/.

Capital Lifecycle Model

models/capital-lifecycle/

A Python visualization of three types of capital mapped to life stages using logistic S-curves and skewed distributions.

The Three Capitals

Capital Type Curve Color Distribution Life Stage Peak
Scope Capital (Physical) Green Normal Highest deceleration at age 32
Social Capital (Career) Orange Left-skewed Highest velocity at age 32
Material Capital (Wealth) Blue Right-skewed Highest acceleration at age 32

The model uses scipy.stats.skewnorm and logistic functions to show how physical development plateaus early, career momentum peaks at midlife, and wealth accumulation accelerates later. The bottom plot shows population-level distributions with a Dunbar's number (~150) annotation for social capital.

Output: life_capital_curves.png

Run: python capital-lifecycle.py


Pickleball Ladder League Simulation

models/pickleball/

Monte Carlo simulation of a 24-player pickleball ladder league to evaluate different scoring systems.

Parameters

  • 50 full league simulations
  • 24 players with random skill levels (50–100)
  • 6 matches per player, courts of 4 with round-robin pairings
  • Tests bonus point values of 0, 1, 2, 3, 4 per win

Output

  • pickleball_league_simulation_results.csv — Full results with rank comparisons
  • 2025-07-25_Pickleball-Sim.twb — Tableau workbook for visualization
  • ladder-league-simulation.png — Visual summary

The simulation compares final rankings under each scoring method against the "true" skill-based ranking to evaluate which bonus point system best rewards actual skill.

Run: python sim-matches.py


Linguistics: French Language Analysis

models/linguistics/french.md

An exploration of how the French subjunctive mood serves as a grammatical mechanism for expressing uncertainty, and how French cultural concepts (l'absurde, l'ironie, l'esprit critique, le décalage) provide frameworks for naming paradoxical or absurd situations.

Key concepts covered:

  • The subjunctive as the language of contingent desire and lack of control
  • L'esprit de l'escalier, Système D, raison d'être
  • Existentialism and absurdism (Sartre, Camus) as cultural vocabulary
  • Application to social dynamics and the optionality of human relationships

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