Summer of Math Exposition

Adjusting for competitive advantage - a sensitivity analysis of Tenzi

This is an analysis of how competitive the dice-rolling game of Tenzi would be between kids of different ages, and to what extent adjustments to game parameters could level the playing field. Inline visualizations were generated with Python.

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Analytics

5 Overall score*
20 Votes
6 Comments
Rank 27

Comments

What matters here is that have one each of two different letters. -grammatical error (that have) i actually have never learned any computer code language so i relied heavily on the written component and i found myself turned around a few times, having to read back or ahead and even cracking out the house dice as an aid. i think this article has shown me a new perspective on the depth of probability that i will find memorable

3.2

Loved it! Make the link a collab even better

8.6

Interesting concept and idea, and you clearly have a very strong and intelligent background. But some of the concepts felt really advanced and inaccessible, and I didn’t see a clear tie back at the end bringing the whole thing together.

4

Cool, but maybe make a visual proof/picture of what you're saying?

4.1

The subject in itself might not be very interesting, but the explanations are excellent. The code is very cleanly written, and the graphs/diagrams are good. I wish you would write a bit more about transition matrices and absorbing markov chains. The orange/purple head-to-head diagram was a bit hard to fully understand; what exactly is the x and y axis, and why does it have that shape? The notebook is hard to read on mobile, as the code flows outside the page. Maybe it would be better to host it on github.io? Anyways, good job!

6.2

This writeup had a lot of interesting content in terms of how transitions probabilities were used to model the game as well as different types of charts used to make here. I think some of the connections between what the charts say and how we got to each chart could be cleaned up to make it easier for a person to understand, as I had to go through a lot of details of the code to understand the implications near the end.

3.1