Version: 1.0.0 Category: Economic Purpose: Complete examples of economic calculations for AI agents
This document provides worked examples for all economic calculations in Structs: energy production across generator types, resource conversion, blockchain unit conversion, cost-per-kilowatt analysis, trading profit calculations, and guild token economics.
All energy produced is ephemeral and must be consumed immediately.
Formula: Energy (kW) = Alpha Matter (grams) x 1
| Input (grams) | Calculation | Output (kW) |
|---|---|---|
| 100 | 100 x 1 | 100 |
| 50 | 50 x 1 | 50 |
Formula: Energy (kW) = Alpha Matter (grams) x 2
| Input (grams) | Calculation | Output (kW) | Efficiency vs Reactor |
|---|---|---|---|
| 100 | 100 x 2 | 200 | 200% |
| 50 | 50 x 2 | 100 | 200% |
Risk: high (design intent; current code is deterministic).
Formula: Energy (kW) = Alpha Matter (grams) x 5
| Input (grams) | Calculation | Output (kW) | Efficiency vs Reactor |
|---|---|---|---|
| 100 | 100 x 5 | 500 | 500% |
Risk: high (design intent; current code is deterministic).
Formula: Energy (kW) = Alpha Matter (grams) x 10
| Input (grams) | Calculation | Output (kW) | Efficiency vs Reactor |
|---|---|---|---|
| 100 | 100 x 10 | 1000 | 1000% |
Risk: high (design intent; current code is deterministic).
Formula: Alpha Matter (grams) = Alpha Ore (grams) x 1
| Input Ore (grams) | Output Matter (grams) | Security Change |
|---|---|---|
| 100 | 100 | Stealable -> Secure |
| 50 | 50 | Stealable -> Secure |
Alpha Ore is stealable by raiders. Alpha Matter is non-stealable. Refine ore immediately after mining.
The blockchain uses micrograms for precision. The conversion factor is 1,000,000.
Grams to micrograms:
Formula: micrograms (uAlpha) = Alpha (grams) x 1,000,000
| Input (grams) | Output (uAlpha) |
|---|---|
| 100 | 100,000,000 |
Micrograms to grams:
Formula: Alpha (grams) = uAlpha / 1,000,000
| Input (uAlpha) | Output (grams) |
|---|---|
| 100,000,000 | 100 |
Given an Alpha Matter cost of 0.01 per gram:
| Generator | Formula | Cost per kW | Relative Cost |
|---|---|---|---|
| Reactor (1x) | 0.01 / 1 | 0.01 | 100% (baseline) |
| Field Generator (2x) | 0.01 / 2 | 0.005 | 50% |
| Continental Power Plant (5x) | 0.01 / 5 | 0.002 | 20% |
| World Engine (10x) | 0.01 / 10 | 0.001 | 10% |
Higher-rate generators produce energy at lower cost per kW but carry higher risk (by design intent).
Formula: Profit = (Sell Price - Buy Price) x Quantity
| Buy Price | Sell Price | Quantity | Profit | Result |
|---|---|---|---|---|
| 0.001 | 0.002 | 100 | 0.1 | Profitable |
| 0.002 | 0.001 | 100 | -0.1 | Loss |
Formula: Profit Margin = ((Sell Price - Buy Price) / Buy Price) x 100%
| Buy Price | Sell Price | Margin |
|---|---|---|
| 0.001 | 0.002 | 100% |
| 0.001 | 0.0015 | 50% |
Formula: Collateral Ratio = (Locked Alpha Matter / Total Tokens Issued) x 100%
| Locked Alpha Matter | Tokens Issued | Ratio | Status |
|---|---|---|---|
| 1,000 | 1,000 | 100% | Healthy – 100% collateral backing |
| 500 | 1,000 | 50% | Low – may reduce token value |
| 2,000 | 1,000 | 200% | Excellent – high trust |
Formula: Token Value = Locked Alpha Matter / Tokens in Circulation
| Locked Alpha Matter | Tokens in Circulation | Token Value (grams per token) | Status |
|---|---|---|---|
| 1,000 | 1,000 | 1.0 | 1:1 backing |
Formula: Market Cap = Tokens in Circulation x Current Price
| Tokens | Price (Alpha Matter per token) | Market Cap |
|---|---|---|
| 1,000 | 0.01 | 10 Alpha Matter |
Given 100 grams of Alpha Matter:
| Generator | Output (kW) | Rate | Risk |
|---|---|---|---|
| Reactor | 100 | 1x | Low |
| Field Generator | 200 | 2x | High (design intent) |
The Field Generator produces 100 kW more, at 200% efficiency. The tradeoff is safety vs efficiency.
Given 100 grams of Alpha Matter:
| Generator | Output (kW) | Rate | Risk | Efficiency |
|---|---|---|---|---|
| Reactor | 100 | 1x | Low | Baseline |
| Field Generator | 200 | 2x | High (design intent) | 200% |
| Continental Power Plant | 500 | 5x | High (design intent) | 500% |
| World Engine | 1,000 | 10x | High (design intent) | 1000% |
Choose based on risk tolerance: Reactor for safety, Field Generator for balanced efficiency, World Engine for maximum output.
| Category | Verified | Source |
|---|---|---|
| Energy Production (all types) | Yes | genesis_struct_type.go – GeneratingRate field |
| Ore to Matter conversion | Yes | 1:1 conversion verified against code |
| Cost calculations | No | Theoretical, needs code verification |
| Trading calculations | Yes | Standard mathematical formulas |
| Guild token calculations | No | Theoretical, needs code verification |