# Synthesized everything with the "Promise Vendor" concept and matching value
## Synthesis: Final Model
**Core Contribution:** Named the "Promise Vendor" and introduced matching value (V)
**Key Concepts:**
* Closed-form solution: q* = ln[...]/μ
* Value maximization framework
* Ecosystem design implications
**Mechanism:** Completed mathematical model enabling strategic prescriptions
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## Context from Evolution
July synthesized May and June into the final "Promise Vendor" framework:
- **May (peach)**: Newsvendor model foundation → [[2025-05]]
- **June (blue)**: Added strategic complexity → [[2025-06]]
- **July (green)**: Final synthesis with "Promise Vendor" (current)
### Evolution of Key Ideas: May → June → July → Final Framework
#### 🔄 Progressive Refinement
Each month built systematically on the previous, with May establishing the mathematical foundation, June adding strategic complexity, and July achieving the final synthesis with the "Promise Vendor" concept.
#### 🎯 Convergent Evolution
The four themes (Problem, Model, Math, Synthesis) evolved in parallel but converged into a unified framework that addresses entrepreneurial overpromising as a rational response to asymmetric costs.
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*Source: Extracted from [[2025]] using [cld](https://claude.ai/chat/7fee518c-b641-469f-9514-374748a8a350)*