Gov/en/Portal:R&D/Innovations:Bonding Curve: Difference between revisions

Latest revision as of 22:44, 13 June 2026

💡 In simple words: Think of the very first people who chip in to build something new — they take the biggest chance, so they get the best reward. The Bonding Curve is the clear, public math rule that gives early supporters more Credits per franc, with no guessing and no secret deals.

⚠️ Not yet approved. This page describes a proposal that is still under community review. It is documented here so it can be discussed, improved and endorsed.

Wiki Core · Concept

The Bonding Curve

Bonding Curve at a Glance

Type	Transparent algorithm
Purpose	Credit generation from funding
Speculation	❌ None
Backed by	Real expenses + subscriptions
Expert review	Open Calls (math experts)
Early multiplier	Up to ×100
Growth multiplier	~×30 at mid-stage
See also	Rewards Explained
See also	Why Fund WikiDeal

The bonding curve is the core algorithm that converts funding contributions into Credits. It is a transparent, defined algorithm — not immutable (it can be updated through Open Calls with mathematical experts), but consistent and publicly documented. It ensures that early funders are rewarded for taking on the highest risk.

The bonding curve ensures early funders receive more Credits per CHF — recognizing the risk they take when the platform is unproven.

How the Bonding Curve Works

The bonding curve relates the current funding reserve level to the Credits generated per CHF contributed. The key principle: as the reserve grows, each CHF generates fewer Credits. This rewards early participants and creates a natural, non-speculative incentive to fund early.

The Mathematical Formula

Credits(CHF) = CHF × multiplier(R) Where multiplier(R) is a decreasing function of Reserve R: multiplier(R) = M_max × e^(-k × R) M_max = maximum multiplier (at R=0, e.g. ×100) k = decay constant (determines how fast multiplier drops) R = current reserve level (total CHF in fund) e = Euler's number (≈ 2.718...) Example at R=0 (first funder): CHF 1 → 100 Credits Example at R=50,000 CHF (mid-stage): CHF 1 → ~30 Credits Example at R=500,000 CHF (growth stage): CHF 1 → ~5–8 Credits

⚠️ This calculation will be discussed in Open Calls by mathematical experts. The exact constants (M_max, k) are subject to community review and may be adjusted through the Open Call process.

Text-Based Visualization

The relationship between reserve and multiplier (illustrative):

Reserve (CHF) │ Multiplier (Credits per CHF) ───────────────┼────────────────────────────── 0 │ ×100 ██████████████████████████ 5,000 │ ×80 ████████████████████ 20,000 │ ×50 █████████████ 50,000 │ ×30 ████████ 100,000 │ ×15 ████ 300,000 │ ×6 ██ 500,000+ │ ×2–5 █

Why a Bonding Curve?

The bonding curve solves a fundamental bootstrapping problem: how do you reward early funders fairly without creating speculation or securities law issues?

Early funders take the highest risk (platform unproven) → receive highest multiplier
Later funders take less risk (platform established) → receive lower multiplier
No external market price needed — the algorithm is self-contained
No speculation: Credits are not tradeable on open markets
Transparent: everyone can see the curve and calculate their Credits

Relation to Cash Rewards and Miles Credits

The bonding curve determines the total Credits generated. The Balance Boost then determines how those Credits are split between Cash Rewards (personal, P2) and the community pool. The bonding curve itself does not determine the Cash/Miles ratio — that is the Boost's job.

Transparency Commitment

WikiDeal commits to publishing the full bonding curve formula, constants, and historical data. Community members can verify their Credit calculations independently. The formula is defined — not opaque — and any changes must go through an Open Call process with mathematical expert review.

💡 Improve this concept — submit a proposal via Open Call

@@ Line 1: / Line 1: @@
-== Bonding Curve ==
+{{KidsIntro|Think of the very first people who chip in to build something new — they take the biggest chance, so they get the best reward. The Bonding Curve is the clear, public math rule that gives early supporters more Credits per franc, with no guessing and no secret deals.}}
-Innovation WikiDeal
+{{NotApproved}}
+Wiki Core · Concept
+== The Bonding Curve ==
+Bonding Curve at a Glance
 {| class="wikitable"
 |-
-| Nom
+| Type
-| '''Bonding Curve'''
+| Transparent algorithm
+|-
+| Purpose
+| Credit generation from funding
+|-
+| Speculation
+| ❌ None
+|-
+| Backed by
+| Real expenses + subscriptions
+|-
+| Expert review
+| [[Gov/en/Portal:R&D/Open-Call:Main|Open Call]]s (math experts)
+|-
+| Early multiplier
+| Up to ×100
 |-
-| Origine
+| Growth multiplier
-| 🟠 Crypto / Token Economics
+| ~×30 at mid-stage
 |-
-| Catégorie
+| See also
-| Financement / Tokenomics
+| [[Gov/en/Portal:Economy/Cash-Rewards|Rewards Explained]]
 |-
-| Statut
+| See also
-| Prototype 1 — En test
+| [[Gov/en/Portal:Economy/Main|Why Fund WikiDeal]]
 |}
-=== Pourquoi ? À quoi ça sert ? ===
+The bonding curve is the core algorithm that converts funding contributions into Credits. It is a '''transparent, defined algorithm''' — not immutable (it can be updated through [[Gov/en/Portal:R&D/Open-Call:Main|Open Calls]] with mathematical experts), but consistent and publicly documented. It ensures that early funders are rewarded for taking on the highest risk.
+The bonding curve ensures early funders receive more Credits per CHF — recognizing the risk they take when the platform is unproven.
+=== How the Bonding Curve Works ===
+The bonding curve relates the current funding reserve level to the Credits generated per CHF contributed. The key principle: '''as the reserve grows, each CHF generates fewer Credits'''. This rewards early participants and creates a natural, non-speculative incentive to fund early.
+=== The Mathematical Formula ===
+Credits(CHF) = CHF × multiplier(R) Where multiplier(R) is a decreasing function of Reserve R: multiplier(R) = M_max × e^(-k × R) M_max = maximum multiplier (at R=0, e.g. ×100) k = decay constant (determines how fast multiplier drops) R = current reserve level (total CHF in fund) e = Euler's number (≈ 2.718...) Example at R=0 (first funder): CHF 1 → 100 Credits Example at R=50,000 CHF (mid-stage): CHF 1 → ~30 Credits Example at R=500,000 CHF (growth stage): CHF 1 → ~5–8 Credits
+⚠️ This calculation will be discussed in Open Calls by mathematical experts. The exact constants (M_max, k) are subject to community review and may be adjusted through the Open Call process.
-La ''Bonding Curve'' (courbe de liaison) est un mécanisme mathématique qui détermine le prix d'achat des WIL (WikiDeal Investment Licences). Elle répond à une question fondamentale : comment récompenser équitablement les premiers soutiens d'un projet sans créer de spéculation ni d'opacité ?
+=== Text-Based Visualization ===
-Sur les plateformes commerciales classiques, les premiers investisseurs bénéficient souvent de conditions opaques ou négociées en coulisses. Ici, l'algorithme est public, immuable et identique pour tous. Plus la plateforme lève de fonds, plus le multiplicateur (remise) diminue — les premiers financeurs obtiennent le meilleur rapport qualité-prix, de façon transparente et prévisible.
+The relationship between reserve and multiplier (illustrative):
-Ce mécanisme protège la communauté contre deux dérives : la sur-rémunération des initiés et la dévaluation du soutien tardif. Il ancre la confiance dans la mécanique elle-même, pas dans les promesses d'une direction.
+Reserve (CHF) │ Multiplier (Credits per CHF) ───────────────┼────────────────────────────── 0 │ ×100 ██████████████████████████ 5,000 │ ×80 ████████████████████ 20,000 │ ×50 █████████████ 50,000 │ ×30 ████████ 100,000 │ ×15 ████ 300,000 │ ×6 ██ 500,000+ │ ×2–5 █
-=== Comment ça fonctionne sur WikiDeal ? ===
+=== Why a Bonding Curve? ===
-Concrètement, chaque tranche de financement levée correspond à un palier de la courbe. Lors du Prototype 1, le multiplicateur de départ est élevé (fort avantage pour les premiers financeurs) et décroît progressivement à chaque nouveau palier atteint. La formule est inscrite dans les documents fondateurs de WikiDeal et ne peut pas être modifiée unilatéralement.
+The bonding curve solves a fundamental bootstrapping problem: how do you reward early funders fairly without creating speculation or securities law issues?
-Les WIL achetés via la bonding curve sont ensuite convertis en [[innovation-dual-rewards.html|Cash Rewards]] (selon le mécanisme [[innovation-boost.html|Boost]]) et en [[innovation-dual-rewards.html|Miles Credits]]. Le mécanisme interagit directement avec l'[[innovation-annual-value-increase.html|augmentation annuelle de 5 %]] : la valeur nominale en CHF des Credits croît chaque année, indépendamment du moment d'achat sur la courbe.
+* '''Early funders take the highest risk''' (platform unproven) → receive highest multiplier
+* '''Later funders take less risk''' (platform established) → receive lower multiplier
+* No external market price needed — the algorithm is self-contained
+* No speculation: Credits are not tradeable on open markets
+* Transparent: everyone can see the curve and calculate their Credits
-Pour les financeurs, la bonding curve fonctionne comme un contrat social explicite : « voici exactement ce que vous obtenez, voici pourquoi, voici comment ça évolue. » Aucune surprise, aucune clause cachée.
+=== Relation to [[Gov/en/Portal:Economy/Cash-Rewards|Cash Rewards]] and [[Gov/en/Portal:Economy/Miles-Credits|Miles Credits]] ===
-=== Degré d'usage et évolution ===
+The bonding curve determines the ''total'' Credits generated. The [[Gov/en/Portal:R&D/Innovations:Funding Stabilizer|Balance Boost]] then determines how those Credits are split between [[Gov/en/Portal:Economy/Cash-Rewards|Cash Rewards]] (personal, P2) and the community pool. The bonding curve itself does not determine the Cash/Miles ratio — that is the Boost's job.
-Cette innovation sera testée dans le cadre du Prototype 1 de WikiDeal. Son degré d'usage et les modalités précises de déploiement seront documentés progressivement à mesure que la plateforme évolue.
+=== Transparency Commitment ===
-'''Voir aussi :''' [[innovations.html|Toutes les innovations]] [[innovation-dual-rewards.html|Dual Rewards]] [[innovation-boost.html|Boost]] [[innovation-annual-value-increase.html|Augmentation 5 %/an]]
+WikiDeal commits to publishing the full bonding curve formula, constants, and historical data. Community members can verify their Credit calculations independently. The formula is defined — not opaque — and any changes must go through an Open Call process with mathematical expert review.
-'''Note :''' Ces innovations sont des propositions concrètes en cours d'implémentation dans le Prototype 1 de WikiDeal. Elles seront documentées et affinées progressivement à mesure que la plateforme évolue.
+'''See also:''' [[Gov/en/Portal:Economy/Cash-Rewards|Rewards Explained]] [[Gov/en/Portal:Economy/Cash-Rewards|Cash Rewards]] [[Gov/en/Portal:Economy/Miles-Credits|Miles Credits]] [[Gov/en/Portal:R&D/Innovations:Funding Stabilizer|Balance Boost]] [[Gov/en/Portal:Economy/Main|Why Fund WikiDeal]] [[Gov/en/Portal:R&D/Open-Call:Main|Open Call Guide]]
-----
+💡 '''Improve this concept''' — submit a proposal via [[Gov/en/Portal:R&D/Open-Call:Main|Open Call]]
-''See also: [[Gov/en/Portal:R&D/Innovations:Main|All innovations]] · [[Gov/en/Portal:R&D/Main|R&D Portal]]''
+[[Category:Migration June 2026]]
-''Reference content imported from mockup. Reference language pending (source is FR).''
+<!-- visible -->