Vince Knight

Fitting a line to data in Python takes a handful of lines with `scipy.optimize.curve_fit`. New video: Hooke's law, a fitted line with error bars, and the step that often gets skipped, the uncertainty in the slope. youtu.be/u6xfqGBbGG8?...

How should the Faithful play The Traitors? Vote for the player on your left. Same odds as voting at random, but now the Traitors cannot coordinate without being seen. With three Traitors the Faithful win about three times as often. New video, with the preprint and code linked: youtu.be/EmhdzzlN5Ps

32 worked solutions for my Game Theory class are now up: Nash equilibrium, repeated games, the Moran process, Braess's paradox, matching, auctions, voting and the Shapley value. Playlist: youtube.com/playlist?lis... Free textbook: vknight.org/gtb/ #gametheory

I'm honoured to be illustrating a book! Game Theorist and recent podcast guest Professor Vincent Knight asked me to provide illustrations (some new and some from the site for his Game Theory textbook. For more links and our podcast interview visit

1st draft of my game theory textbook is up: vknight.org/gtb/ With illustrations from @nonzerosumjames.bsky.social 3 goals: a course text, a resource for using software, and a route into key papers. Free online, PDF too. #gametheory

My wife and I do not agree about whether or not a Toblerone is a chocolate bar. Harry Foster agrees with her. We spent 90 minutes of a research meeting yesterday on this. We then asked Claude to write a paper about it for us: vknight.org/assets/static/202... The footnotes are probably the best part

New preprint: "Discrete Event Population Updates: finding game theoretic emergent behaviour in queueing systems with simulation" This brings together #queueingtheory and #gametheory. Summary: vknight.org/posts/2026-06-30-... Arxiv: arxiv.org/abs/2606.28100

“The trouble emerges when too many people free ride.” Public goods, unions, vaccination, climate, and a classroom game where the kids understood the commons faster than most adults seem to.

Harry (my PhD student) has spent a week doing some really cool, clever and hard work. He's showing me his results and I make a [minor] suggestion for improvement of choice of notation. Supervising is hard work. #gametheory #phd #mathematics

Have you heard of Braess's Paradox..? Me neither! I sat down with Professor Vincent Knight, a game theorist from Cardiff University in Wales—doing cutting edge game theory research. I learned about Braess's Paradox, carbon clubs, queuing dynamics and many more applications of game theory IRL.

It was a real pleasure to be on @nonzerosumjames.bsky.social's podcast. I've been enjoying his show for a while so it was an honour to be the first guest :) #gametheory

**New preprint**: "An Exact Cooperation Formula for Introspection Dynamics in the Heterogeneous Public Goods Game" In this preprint we obtain a nice formula for the steady state probabilities in Introspection Dynamics for a specific subset of games. arxiv.org/abs/2605.23513 #gametheory

"Universities are not corporations in need of strong CEOs. They are federations of expertise held together by norms, trust and a shared commitment to inquiry."

Scholia: Category based marking in Python. Prof. Karl Schmidt gave a great talk about his approach to marking and feedback last week. I've implemented his approach in a Python library: vknight.org/scholia/ #marking #python

*The Faithful should all vote left.* "The Vote-Left Equilibrium: A Deterministic Coordination Strategy for the Faithful in The Traitors" My latest preprint is at the arXiv: arxiv.org/abs/2605.10233 #gametheory