- Tech Games
- Posts
- š¾ The First Theorem of Venture Investing
š¾ The First Theorem of Venture Investing
Breaking down venture capital using game theory


Hey friend š
TechGames = Games x Maths x Startups.
Last weekās drop stirred the pot - our inbox has been full of people asking for both founder AND investor maths (investors won by a few votes though). So letās get into it!
Every edition gives you:
š¾ Incoming Games: curated tech poker, chess, Catan, and more each week
š§® Startup Game Theory: maths applied to startups
š« Community Shoutouts: celebrating the crew
š Accelerating you: asks + intros to help you win
Know any high-signal startup founders, investors, or operators? Please bring them in & letās make that big! š„šš¼
š¾ Incoming TechGames
Aug 21 | ā¦ļø Tech Poker Games #34 (London š¬š§)
A high-signal evening for top-tier founders, operators, and investors to connect, compete, and read each other like a term sheet - over high-stakes poker. APPLY here.
Sept 4 | š Tech Catan Tournament #4 (SF šŗšø)
Settle, trade, and outwit at the worldās largest curated Catan gathering for extraordinary tech builders, change-makers, and leaders. APPLY here.
Sept 4 | š Tech Catan Tournament #2 (Zürich šØš)
The Swiss edition of our legendary curated Catan nights. Out-trade and out-build alongside Europeās most exceptional founders. APPLY here.
Sept 11 | š Tech Catan Tournament #2 (Berlin š©šŖ)
Europeās sharpest tech minds meet over roads, cities, and sheep. The most curated Catan room in Berlin. APPLY here.
Sept 19 | ā¦ļø The SF Tech Poker #3 (SF šŗšø)
Elite founders, operators, and investors face off in an evening of cards, reads, and calculated risk ā poker as a founderās sport. APPLY here.
Sep 21 | š® Tech āAmong Usā Games #1 (š Online)
By popular demand, weāre taking TechGames online. First up: Among Us - the ultimate test of persuasion, strategy, and reading people. Relax, scheme, and laugh with fellow big-brain founders from SF, London, NYC, and beyond. As always, curated crowd only. APPLY here.
Sept 25 | āļø Tech Chess Tournament #3 (London š¬š§)
Precision, patience, and bold plays. Battle Londonās top tech talent in a room where every move counts. APPLY here.
š§® Startup GTO - Becoming a āGame Theory Optimalā Startup Investor
Forget the noise. The internet is flooded with flashy stories, recycled advice, and endless contradictions about what makes a great VC.
What follows isnāt just another opinion piece - itās a toolkit for thinking and acting like an elite.
This week, we break down startup investing through a game-theoretical lens, laying the groundwork for how to thinkāand winālike a top-tier investor. We also get our first result.
1) Defining VC Investing through Game Theory
Seen through game theory, startup investing isnāt roulette or chess. Itās poker played on a stochastic board, with asymmetric payoffs and incomplete information.
The VC investor (player) has fixed capital C
They allocate it all into n startups {S_1, ⦠S_n} over Y years (fixed)
Each startup S_i has:
Probability of success p_i
payoff multiple M_i (e.g., M_i = 100 if it becomes a unicorn, 0 otherwise)
Investment size I_1, ā¦, I_k
Note: because follow-up investments are allowed, weāll write I_ij to denote the āj-thā investment into startup āiā, M_ij the payoff factor for that investment, and āt_ijā the times at which that j-th investment happened.
The game & how to win:
Find the combos of
Startups S_i
Investment sizes I_i1, ā¦, I_ik timed at times t_i1, ā¦, t_ik
(under the constraint that all capital C all deployed over Y years)
to maximise the below expected payoff

where M_i & p_i are unknown.
2) Understanding the Fundamental Assumption of Venture Investing (FAVI)
There is an important assumption that comes up very often in our models & is at the origin of many of the deviations from many traditional financial mathematical results.
While an emergent property of how startups and markets behave today (2020sā2025), itās called āassumptionā because itās not an immutable law of nature.
Thatās why we call it the āfundamental assumption of Venture Investingā.

It states that the distribution of VC deal returns follows a power law.
We call cases where the exponent alpha is large āStrong FAVIā (e.g., pre-seed investing). If the exponent is small, we call such cases āweak FAVIā (e.g., growth investing).
If you want me to dive deeper into why/why not thatās the case, let me know.
3) Our First practical result: āchase the outliersā
We havenāt done much, but coupling the game definition + the FAVI is already enough to get our first insight.
Weāre calling it the ātheorem of venture investingā.
Basically, under FAVI, the expected payoff we defined above that the investor wants to maximize can be approximated as a sum over startups with high payoff multiples. (The stronger the FAVI assumption, the better this approximation is.)
This means that the set of optimal VC investment strategies (whatever they are) can roughly be approximated by strategies that only target startups with high M_i, weāll call āoutlier-centric strategiesā.

Outlier-centric strategies just ignore any companies with a payoff return thatās below a certain threshold (we call āmuā here).
This means that to invest optimally, anything that doesnāt seem to indicate a high enough payoff return M (e.g., high TAM, growing market, etc) needs to be instantly discarded.
Youād be wasting your time considering it.
4) We opened up a treasure chest with other ones in it
Weāve just cracked open the first treasure chestāand found itās full of more chests.
Each contains golden nuggets that get us closer to understanding how to play like the best in the world. Weāll unpack them in the coming weeks.
Questions weāre in a position to answer soon:
Whatās the most optimal threshold mu to use & how to compute it?
(Note: there is a way to mathematically derive it given some extra parameters that fit your situation)
How to go around estimating the payoff return M for a startup?
(Note: there are multiple strategies for this, depending on which meta strategy you pick)Whatās the most optimal way for you to size your investments on a startup S_i if you know their payoff M_i and success rate p_i?
(Note: there is a very precise formula we can derive)As there is a time constraint on how to deploy the fund, how to balance investing versus waiting for a better deal?
(Note: there is a very precise framework that optimally balances it.)
Iām hitting this weekās character limit for this section (I want it to be as digestible as possible for you guys & readable in 2-3 minutes).
Please tell us what you want cracked open next - just hit reply or use the survey below. Weāll build this map of venture together. š
š« Community Shoutouts
Little throwback to a couple of months ago in SF when we ran the Tech Chess Poker tournament. Epic final between Vlad & Lukas! (So epic it got me back into practicing my chess fairly seriously for a bit š )

Finalists @ SF Tech Chess Tournament - Founders Olympics 2025
š Accelerating you
Eito Miyamura (CEO/Founder @ Edison.watch) is looking for introductions to CISO / CCO / CRO in a fast sales cycle (<6 months) enterprise adopting AI and terrified of data exfiltration. If you know anyone, reply āEITOā to this email and Iāll connect you.
Weāre looking into facilitating connections between you, i.e., some of you are really insane AI engineers looking for a job, while others are founders who are hiring. If you want us to put the network to your use, please fill out the form below!
š See you Next Week!
If you want to chat about anything, hit reply - we read everything!
Please give us your feedback below on the content - help us iterate & help you win! šš¼
Also, if you know insane people who think like us here, please bring them in!
A lot of stuff is brewing, we canāt wait to announce it & build it all with you!
š§ How useful was this edition? |
š„ How energising was it? |
ā¤ļø Did this feel like your tribe? |