Gov/en/Portal:R&D/Innovations:Bonding Curve - Revision history

AI-Admin-Assistant: Category cleanup: remove Category:Migration June 2026 (founder order 2026-09-03)

2026-09-03T17:19:31Z

Category cleanup: remove Category:Migration June 2026 (founder order 2026-09-03)

← Older revision		Revision as of 19:19, 3 September 2026
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	💡 '''Improve this concept''': submit a proposal via [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call]]		💡 '''Improve this concept''': submit a proposal via [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call]]
	[[Category:Funding]]		[[Category:Funding]]
	~~[[Category:Migration June 2026]]~~
	[[Category:Innovation]]		[[Category:Innovation]]

AI-Admin-Assistant: Operation Funding cleanup: clarify the jump after each donation (no intra-donation curve, x65 example)

2026-08-20T23:40:55Z

Operation Funding cleanup: clarify the jump after each donation (no intra-donation curve, x65 example)

← Older revision		Revision as of 01:40, 21 August 2026
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	{{ArticleSummary\|		{{ArticleSummary\|
	* [[#how-it-works\|How the Bonding Curve is intended to work]]		* [[#how-it-works\|How the Bonding Curve is intended to work]]
			* [[#jump-after-donation\|No curve inside a donation: the jump comes after]]
	* [[#formula\|The mathematical formula]]		* [[#formula\|The mathematical formula]]
	* [[#visualization\|Text-based visualization]]		* [[#visualization\|Text-based visualization]]
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	For a supporter, the experience is simple: Anna supports with CHF 100 when the reserve is nearly empty and would receive far more Rewards per franc than Ben, who supports the same amount a year later when the platform is established. Both can verify their calculation themselves, because the formula is public.		For a supporter, the experience is simple: Anna supports with CHF 100 when the reserve is nearly empty and would receive far more Rewards per franc than Ben, who supports the same amount a year later when the platform is established. Both can verify their calculation themselves, because the formula is public.

			<span id="jump-after-donation"></span>
			== No curve inside a donation: the jump comes after ==
			There is no "curve" running inside a given donation: a donated amount does not see its multiplier decrease along the way. The multiplier applied is the one in force at the moment of the donation, for the whole amount. What the curve describes is a '''jump''' (an adjustment) recalculated '''after''' each donation, according to the Bonding Curve and the [[Gov/en/Portal:Economy/Need-Driven-Funding\|Need-Driven Funding]] stabilizer.

			Example: if the multiplier stands at ×65, a donation of CHF 1,000 is entirely multiplied by 65 (65,000 Rewards). After the transaction, the multiplier makes a jump, for instance down to ×63.8, which applies to the next donation only.

	<span id="formula"></span>		<span id="formula"></span>

AI-Admin-Assistant: Move funding cluster to dedicated Category:Funding hub — per Théo 2026-08-18

2026-08-18T22:38:35Z

Move funding cluster to dedicated Category:Funding hub — per Théo 2026-08-18

← Older revision		Revision as of 00:38, 19 August 2026
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	💡 '''Improve this concept''': submit a proposal via [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call]]		💡 '''Improve this concept''': submit a proposal via [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call]]
			[[Category:Funding]]
	[[Category:Migration June 2026]]		[[Category:Migration June 2026]]
	[[Category:Innovation]]		[[Category:Innovation]]
	~~[[Category:Economy]]~~

AI-Admin-Assistant: Point NDF links to canonical Economy page; extend See also; add Category:Economy — nav cluster 2026-08-18

2026-08-18T21:16:30Z

Point NDF links to canonical Economy page; extend See also; add Category:Economy — nav cluster 2026-08-18

← Older revision		Revision as of 23:16, 18 August 2026
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	<span id="relation"></span>		<span id="relation"></span>
	== Relation to Rewards and Karma tokens ==		== Relation to Rewards and Karma tokens ==
	The bonding curve determines the ''total'' [[Gov/en/Portal:Economy/Rewards\|Rewards]] generated. The [[Gov/en/Portal:~~R&D~~/~~Innovations:~~Need-Driven Funding\|Need-Driven Funding]] mechanism and the donor's own choice at donation time then determine how many of those Rewards the donor keeps and how much is left to the project as pure support (see the [[Gov/en/Portal:Economy/Rewards-FAQ\|Rewards FAQ]] for the formulas currently proposed). [[Gov/en/Portal:Economy/Karma-Tokens\|Karma tokens]] are a separate, non-convertible form of Rewards, documented on their own page; the bonding curve does not determine them.		The bonding curve determines the ''total'' [[Gov/en/Portal:Economy/Rewards\|Rewards]] generated. The [[Gov/en/Portal:Economy/Need-Driven-Funding\|Need-Driven Funding]] mechanism and the donor's own choice at donation time then determine how many of those Rewards the donor keeps and how much is left to the project as pure support (see the [[Gov/en/Portal:Economy/Rewards-FAQ\|Rewards FAQ]] for the formulas currently proposed). [[Gov/en/Portal:Economy/Karma-Tokens\|Karma tokens]] are a separate, non-convertible form of Rewards, documented on their own page; the bonding curve does not determine them.

	<span id="transparency"></span>		<span id="transparency"></span>
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	* Ethan Mollick (2014), ''The dynamics of crowdfunding: An exploratory study'', Journal of Business Venturing, 29(1): [https://doi.org/10.1016/j.jbusvent.2013.06.005 doi:10.1016/j.jbusvent.2013.06.005].		* Ethan Mollick (2014), ''The dynamics of crowdfunding: An exploratory study'', Journal of Business Venturing, 29(1): [https://doi.org/10.1016/j.jbusvent.2013.06.005 doi:10.1016/j.jbusvent.2013.06.005].

	'''See also:''' [[Gov/en/Portal:Economy/Rewards\|Rewards Explained]] · [[Gov/en/Portal:Economy/~~Karma~~-~~Tokens~~\|~~Karma tokens~~]] · [[Gov/en/Portal:~~R&D~~/~~Innovations:~~Need-Driven Funding\|Need-Driven Funding]] · [[Gov/en/Portal:Economy/Main\|Why Fund WikiDeal]] · [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call Guide]]		'''See also:''' [[Gov/en/Portal:Economy/Rewards\|Rewards Explained]] · [[Gov/en/Portal:Economy/Rewards-FAQ\|Rewards FAQ]] · [[Gov/en/Portal:Economy/Need-Driven-Funding\|Need-Driven Funding]] · [[Gov/en/Portal:Economy/Revenue-Structure\|Revenue Structure]] · [[Gov/en/Portal:Economy/Karma-Tokens\|Karma tokens]] · [[Gov/en/Portal:Economy/Main\|Why Fund WikiDeal]] · [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call Guide]]

	💡 '''Improve this concept''': submit a proposal via [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call]]		💡 '''Improve this concept''': submit a proposal via [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call]]
	[[Category:Migration June 2026]]		[[Category:Migration June 2026]]
	[[Category:Innovation]]		[[Category:Innovation]]
			[[Category:Economy]]

AI-Admin-Assistant: Rewrite: single Reward type, slider/community-personal distinction removed — per Théo 2026-08-18

2026-08-18T18:23:42Z

Rewrite: single Reward type, slider/community-personal distinction removed — per Théo 2026-08-18

← Older revision		Revision as of 20:23, 18 August 2026
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	<span id="relation"></span>		<span id="relation"></span>
	== Relation to Rewards and Karma tokens ==		== Relation to Rewards and Karma tokens ==
	The bonding curve determines the ''total'' Rewards generated. The [[Gov/en/Portal:R&D/Innovations:Need-Driven Funding\|Need-Driven Funding]] mechanism then ~~determines~~ how those Rewards ~~are split between~~ [[Gov/en/Portal:Economy/Rewards\|~~personal~~ Rewards]] ~~and~~ the ~~community pool~~. ~~The~~ bonding curve ~~itself~~ does not determine ~~the Cash/Karma-token ratio: that is the Need-Driven Funding mechanism's job~~.		The bonding curve determines the ''total'' [[Gov/en/Portal:Economy/Rewards\|Rewards]] generated. The [[Gov/en/Portal:R&D/Innovations:Need-Driven Funding\|Need-Driven Funding]] mechanism and the donor's own choice at donation time then determine how many of those Rewards the donor keeps and how much is left to the project as pure support (see the [[Gov/en/Portal:Economy/Rewards-FAQ\|Rewards FAQ]] for the formulas currently proposed). [[Gov/en/Portal:Economy/Karma-Tokens\|Karma tokens]] are a separate, non-convertible form of Rewards, documented on their own page; the bonding curve does not determine them.

	<span id="transparency"></span>		<span id="transparency"></span>

AI-Admin-Assistant: Standardise manual summary: On this page list wrapped in Template:ArticleSummary, same entries (Theo 2026-08-17)

2026-08-17T17:26:29Z

Standardise manual summary: On this page list wrapped in Template:ArticleSummary, same entries (Theo 2026-08-17)

← Older revision		Revision as of 19:26, 17 August 2026
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	Every new platform faces the same bootstrapping question: why would anyone support a project before it has proven itself? The first supporters carry the most uncertainty, so fairness suggests they should receive the most in return. The Bonding Curve is WikiDeal's answer: a public, verifiable formula that anyone can check, designed so that trust comes from transparency rather than from promises.		Every new platform faces the same bootstrapping question: why would anyone support a project before it has proven itself? The first supporters carry the most uncertainty, so fairness suggests they should receive the most in return. The Bonding Curve is WikiDeal's answer: a public, verifiable formula that anyone can check, designed so that trust comes from transparency rather than from promises.

	~~'''On this page:'''~~		{{ArticleSummary\|
	* [[#how-it-works\|How the Bonding Curve is intended to work]]		* [[#how-it-works\|How the Bonding Curve is intended to work]]
	* [[#formula\|The mathematical formula]]		* [[#formula\|The mathematical formula]]
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	* [[#transparency\|Transparency commitment]]		* [[#transparency\|Transparency commitment]]
	* [[#state-of-the-art\|State of the art]]		* [[#state-of-the-art\|State of the art]]
			}}
	__NOTOC__		__NOTOC__

AI-Admin-Assistant: Visible in-content table of contents (Theo 2026-08-15)

2026-08-15T17:28:15Z

Visible in-content table of contents (Theo 2026-08-15)

← Older revision		Revision as of 19:28, 15 August 2026
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	Every new platform faces the same bootstrapping question: why would anyone support a project before it has proven itself? The first supporters carry the most uncertainty, so fairness suggests they should receive the most in return. The Bonding Curve is WikiDeal's answer: a public, verifiable formula that anyone can check, designed so that trust comes from transparency rather than from promises.		Every new platform faces the same bootstrapping question: why would anyone support a project before it has proven itself? The first supporters carry the most uncertainty, so fairness suggests they should receive the most in return. The Bonding Curve is WikiDeal's answer: a public, verifiable formula that anyone can check, designed so that trust comes from transparency rather than from promises.

	~~__TOC__~~		'''On this page:'''
			* [[#how-it-works\|How the Bonding Curve is intended to work]]
			* [[#formula\|The mathematical formula]]
			* [[#visualization\|Text-based visualization]]
			* [[#why-a-bonding-curve\|Why a bonding curve?]]
			* [[#roles\|Who does what]]
			* [[#relation\|Relation to Rewards and Karma tokens]]
			* [[#transparency\|Transparency commitment]]
			* [[#state-of-the-art\|State of the art]]
			__NOTOC__

	<span id="how-it-works"></span>		<span id="how-it-works"></span>

AI-Admin-Assistant: Rename section to State of the art (Theo 2026-08-15)

2026-08-15T15:58:51Z

Rename section to State of the art (Theo 2026-08-15)

← Older revision		Revision as of 17:58, 15 August 2026
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	WikiDeal intends to publish the full bonding curve formula, constants, and historical data. Community members would be able to verify their Reward calculations independently. The formula is defined, not opaque, and any change would go through an Open Call process with mathematical expert review. This reflects WikiDeal's broader aims of transparency, lower cost, flexibility and citizen participation.		WikiDeal intends to publish the full bonding curve formula, constants, and historical data. Community members would be able to verify their Reward calculations independently. The formula is defined, not opaque, and any change would go through an Open Call process with mathematical expert review. This reflects WikiDeal's broader aims of transparency, lower cost, flexibility and citizen participation.

	<span id="~~related~~-~~research~~"></span>		<span id="state-of-the-art"></span>
	== ~~Related scientific research~~ ==		== State of the art ==
	Algorithmic pricing curves and threshold-based collective funding have been studied in several strands of research. The works below provide scientific context for the bonding curve hypothesis; they do not guarantee its outcome.		Algorithmic pricing curves and threshold-based collective funding have been studied in several strands of research. The works below provide scientific context for the bonding curve hypothesis; they do not guarantee its outcome.

AI-Admin-Assistant: Add Related scientific research section (Theo 2026-08-15)

2026-08-15T15:45:14Z

Add Related scientific research section (Theo 2026-08-15)

@@ Line 77: / Line 77: @@
 == Transparency commitment ==
 WikiDeal intends to publish the full bonding curve formula, constants, and historical data. Community members would be able to verify their Reward calculations independently. The formula is defined, not opaque, and any change would go through an Open Call process with mathematical expert review. This reflects WikiDeal's broader aims of transparency, lower cost, flexibility and citizen participation.
 '''See also:''' [[Gov/en/Portal:Economy/Rewards|Rewards Explained]] · [[Gov/en/Portal:Economy/Karma-Tokens|Karma tokens]] · [[Gov/en/Portal:R&D/Innovations:Need-Driven Funding|Need-Driven Funding]] · [[Gov/en/Portal:Economy/Main|Why Fund WikiDeal]] · [[Gov/en/Portal:R&D/Open-Calls:Main|Open Call Guide]]

AI-Admin-Assistant: Refine tone and structure per Theo

2026-08-05T02:22:56Z

Refine tone and structure per Theo

← Older revision		Revision as of 04:22, 5 August 2026
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	{{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 Rewards per franc, with no guessing and no secret deals.}}		{{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 Rewards per franc, with no guessing and no secret deals.}}
			{{ExpertIntro\|The Bonding Curve is a transparent algorithm intended to convert funding support into Rewards: the earlier the support, the higher the multiplier (up to ×100, around ×30 at mid-stage). It is non-speculative, publicly documented, and revisable prospectively through Open Calls with mathematical experts.}}
	~~Wiki Core · Concept~~

	== The Bonding Curve ==

	~~Bonding Curve~~ at ~~a Glance~~

	{\| class="wikitable"		{\| class="wikitable"
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	\|}		\|}

	The ~~bonding curve is~~ the ~~core algorithm that converts funding contributions into Rewards~~. It is a ~~'''transparent~~, ~~defined algorithm''', not frozen (it~~ can be updated through [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Calls]] with mathematical experts). Updates apply prospectively only: they never reduce rights already attributed at the moment of a contribution, ~~but consistent and publicly documented. It ensures~~ that ~~early funders are rewarded for taking on the highest risk~~.		Every new platform faces the same bootstrapping question: why would anyone support a project before it has proven itself? The first supporters carry the most uncertainty, so fairness suggests they should receive the most in return. The Bonding Curve is WikiDeal's answer: a public, verifiable formula that anyone can check, designed so that trust comes from transparency rather than from promises.

	~~The bonding curve ensures early funders receive more Rewards per CHF, recognizing the risk they take when the platform is unproven.~~		__TOC__

	=== How the Bonding Curve ~~Works =~~==		<span id="how-it-works"></span>
			== How the Bonding Curve is intended to work ==
			The bonding curve relates the current funding reserve level to the Rewards generated per CHF of support. The key principle: '''as the reserve grows, each CHF generates fewer Rewards'''. This recognizes early participants and creates a natural, non-speculative incentive to support early.

	~~The bonding curve relates~~ the ~~current funding~~ reserve ~~level to the~~ Rewards ~~generated~~ per ~~CHF contributed. The key principle: '''as~~ the ~~reserve grows, each CHF generates fewer Rewards'''~~. ~~This rewards early participants and creates a natural~~, ~~non-speculative incentive to fund early~~.		For a supporter, the experience is simple: Anna supports with CHF 100 when the reserve is nearly empty and would receive far more Rewards per franc than Ben, who supports the same amount a year later when the platform is established. Both can verify their calculation themselves, because the formula is public.

	=== The ~~Mathematical Formula~~ ===		<span id="formula"></span>
			== The mathematical formula ==
			Rewards(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 the multiplier drops); R = current reserve level (total CHF in fund); e = [[wikipedia:E_(mathematical_constant)\|Euler's number]] (≈ 2.718...). Example at R=0 (first supporter): CHF 1 → 100 Rewards. Example at R=50,000 CHF (mid-stage): CHF 1 → ~30 Rewards. Example at R=500,000 CHF (growth stage): CHF 1 → ~5 to 8 Rewards.

	Rewards(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 Rewards Example at R=50,000 CHF (mid-stage): CHF 1 → ~30 Rewards Example at R=500,000 CHF (growth stage): CHF 1 → ~5 to 8 Rewards		⚠️ This calculation is intended to 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 Calls process. Updates would apply prospectively only: they would never reduce rights already attributed at the moment of a support.

	⚠️ 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 Calls process.

	~~=== Text-Based Visualization ===~~

			<span id="visualization"></span>
			== Text-based visualization ==
	The relationship between reserve and multiplier (illustrative):		The relationship between reserve and multiplier (illustrative):

	Reserve (CHF) │ Multiplier (Rewards per CHF) ───────────────┼────────────────────────────── 0 │ ×100 ██████████████████████████ 5,000 │ ×80 ████████████████████ 20,000 │ ×50 █████████████ 50,000 │ ×30 ████████ 100,000 │ ×15 ████ 300,000 │ ×6 ██ 500,000+ │ ×2–5 █		Reserve (CHF) │ Multiplier (Rewards 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~~? ===		<span id="why-a-bonding-curve"></span>
			== Why a bonding curve? ==
			The bonding curve addresses a fundamental bootstrapping problem: how to reward early supporters fairly without creating speculation or securities-law issues.

	~~The bonding curve solves a fundamental bootstrapping problem: how do you reward early funders fairly without creating speculation or securities law issues?~~		* '''Early supporters take the highest risk''' (platform unproven) → highest multiplier
			* '''Later supporters take less risk''' (platform established) → lower multiplier
	* '''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 external market price needed: the algorithm is self-contained
	* No speculation: Rewards are not tradeable on open markets		* No speculation: Rewards are not tradeable on open markets
	* Transparent: everyone can see the curve and calculate their Rewards		* Transparent: everyone can see the curve and calculate their Rewards

	=== ~~Relation to [[Gov/en/Portal:Economy/Rewards\|Rewards]] and [[Gov/en/Portal:Economy/Karma-Tokens\|Karma tokens]] =~~==		<span id="roles"></span>
			== Who does what ==
	~~The bonding curve determines the~~ ''~~total~~'' Rewards ~~generated~~. ~~The~~ [[Gov/en/Portal:R&D/~~Innovations:Need-Driven Funding\|Need~~-~~Driven Funding]] then determines how those Rewards are split between [[Gov/en/Portal~~:~~Economy/Rewards~~\|~~personal Rewards~~]] ~~(P2) and the community pool~~. The ~~bonding curve itself does not determine~~ the ~~Cash/Karma-token ratio: that is the Need-Driven Funding mechanism~~'~~s job~~.		* '''Supporters''' choose when and how much to support, and can verify their Rewards independently.
			* '''Mathematical experts''' review the constants through [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Calls]].
			* '''The community''' oversees any change to the formula, which keeps governance in citizens' hands rather than in a closed boardroom.

	=== ~~Transparency Commitment =~~==		<span id="relation"></span>
			== Relation to Rewards and Karma tokens ==
			The bonding curve determines the ''total'' Rewards generated. The [[Gov/en/Portal:R&D/Innovations:Need-Driven Funding\|Need-Driven Funding]] mechanism then determines how those Rewards are split between [[Gov/en/Portal:Economy/Rewards\|personal Rewards]] and the community pool. The bonding curve itself does not determine the Cash/Karma-token ratio: that is the Need-Driven Funding mechanism's job.

	WikiDeal ~~commits~~ to ~~publishing~~ the full bonding curve formula, constants, and historical data. Community members ~~can~~ verify their Reward calculations independently. The formula is defined, not opaque, and any ~~changes must~~ go through an Open Call process with mathematical expert review.		<span id="transparency"></span>
			== Transparency commitment ==
			WikiDeal intends to publish the full bonding curve formula, constants, and historical data. Community members would be able to verify their Reward calculations independently. The formula is defined, not opaque, and any change would go through an Open Call process with mathematical expert review. This reflects WikiDeal's broader aims of transparency, lower cost, flexibility and citizen participation.

	'''See also:''' [[Gov/en/Portal:Economy/Rewards\|Rewards Explained]] ~~[[Gov/en/Portal:Economy/Rewards\|Rewards]]~~ [[Gov/en/Portal:Economy/Karma-Tokens\|Karma tokens]] [[Gov/en/Portal:R&D/Innovations:Need-Driven Funding\|Need-Driven Funding]] [[Gov/en/Portal:Economy/Main\|Why Fund WikiDeal]] [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call Guide]]		'''See also:''' [[Gov/en/Portal:Economy/Rewards\|Rewards Explained]] · [[Gov/en/Portal:Economy/Karma-Tokens\|Karma tokens]] · [[Gov/en/Portal:R&D/Innovations:Need-Driven Funding\|Need-Driven Funding]] · [[Gov/en/Portal:Economy/Main\|Why Fund WikiDeal]] · [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call Guide]]

	💡 '''Improve this concept''' — submit a proposal via [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call]]		💡 '''Improve this concept''': submit a proposal via [[Gov/en/Portal:R&D/Open-Calls:Main\|Open Call]]
	[[Category:Migration June 2026]]		[[Category:Migration June 2026]]
	[[Category:Innovation]]		[[Category:Innovation]]
	~~<!-- visible -->~~