power law & quadratic funding in prosocial venture capital

Venture Institute Cohort 1

I participated in the first half of VC Lab’s Venture Institute Cohort 1.

To be accepted into the program, I had to swear to the Mensarius Oath.

I’m excited about the potential quadratic funding has to better align power law in VC with the Mensarius Oath.

competitive resources redistributed as cooperative resources
competitive resources redistributed as cooperative resources

Mensarius Oath

As a financial professional that invests in enterprises using personal or investor capital, I hereby pledge to honor these values. If it is determined by myself or a panel of my peers that I have violated these values without reconciliation agreed between all involved parties, then I will voluntarily leave the industry.

  1. In my profession of finance, I endeavor to help create positive outcomes for all of humanity.

  2. With my dealings, I create positive outcomes financially and otherwise for all of those involved, including the conscious avoidance of harm to any parties.

  3. Being in the industry, I will help others to achieve the highest standards that I set for myself and my organization.

  4. As a steward of the trade, I work against any abuse of power that leads to unfair advantage, seduction, corruption or mistreatment.

  5. As a person who can affect the outcome, I commit to reducing inequality and increasing fairness in society.

  6. In honor of the community, I pledge to treat all that approach me with fairness, equality and the attention that each opportunity deserves.

  7. As a professional, I am open and honest in all of my dealings with those that I serve, including Investors and Founders.

  8. As part of my work, I keep all matters that are understood to be private with all available protections to keep safe from public or other unwanted disclosure.

  9. To continuously improve, I solicit and respect feedback from those that I serve and from my wider industry professionals.

what is a power law?

A power law is when there is a nonlinear asymmetry between X and Y in dimension n as X changes magnitude, such as Y = X^n.

An exponential function, for comparison, is when there is a nonlinear asymmetry between X and Y in base X as n changes magnitude, such as Y = X^n.

n = 0 and n = 1 are not power law dimensions (they are power law poles): X and Y remain constant in n = 0 (no change); the ratio between X and Y in n = 1 is linear (no acceleration / no relative arrow of time).

According to research, n = 1.16 is the dominant equilibrium super-linear distribution and n = 0.75 is the dominant equilibrium sub-linear distribution.

Graphed on a logarithmic scale, power law distributions are scale-invariant. Scale invariance simplifies scaling up or down, since there is no change between scales.

The Power Law in VC

“The Power Law concept originated in the late 19th century with the work of Vilfredo Pareto, an Italian economist and sociologist. Pareto noticed that 20% of the pea pods in his garden produced 80% of the peas. He extended this observation to wealth distribution in society, noting that 80% of the land in Italy was owned by 20% of the population. This 80-20 rule, later termed the Pareto Principle, laid the foundation for the Power Law….

The Power Law is clearly visible in the world of startups, particularly in the tech industry. Companies like eBay and Google are prime examples. Both started as small ventures but rapidly grew to dominate their respective markets.

eBay, founded in 1995, revolutionized the online marketplace, becoming a platform where anyone could buy or sell goods. Its growth was exponential, and it quickly overshadowed other online marketplaces. Similarly, Google, launched in 1998, rose to dominate the search engine market, outperforming competitors and becoming a household name.”

A) The power law in VC is the super-linear power law exhibited in competitive economies of scale.

B) The sub-linear power law is exhibited in cooperative economies of scale.

C) The magnitudes of the economies of scale rate of change enjoyed by eBay and Google are exponential, which are greater than super-linear power law magnitudes.

hypothesis

D) Eventually achieve the much more lucrative C) exponential growth (which is natural powers scale-invariant graphable with (c-b)/a calculus) via a social network effect composite of: A) super-linear power law growth; and B) sub-linear power law growth.

E) VC follow-on rounds provide circulation between the super-linear and sub-linear elements of a successful startup investment portfolio.

F) Quadratic funding provides circulation between the super-linear and sub-linear elements of a social network, and can redistribute ‘heat’ from ‘overheating’ super-linear competition to ‘freezing’ sub-linear arms length cooperation.

T) Compared to their competitors, VCs who adopt quadratic funding follow-on will make better returns and better achieve Mensarius Oath values 1), 2), 4), 5) and 9).

letter to VC Labs about starting a quadratic fund

.… I'll continue becoming the world's leading expert in the quickly emerging legal engineering field (e.g. Charles Goldfarb and Nick Szabo are legal engineers, SGML and Smart Contracts respectively)….

I got a lot out of my first Founder Institute attempt! The high points were:

diagram, super-linear competitive and sub-linear cooperative
diagram, super-linear competitive and sub-linear cooperative

Quadratic Funding was developed by Microsoft’s Office of the Chief Technology Officer Political Economist and Social Technologist as a means to encourage budget cooperation across departments.

QF and plurality
QF and plurality

Thank you for your consideration.

Sincerely,

Kyle

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