Pinned toot

I wrote a little post about the war of attrition (game theory) with two players. It's intended mostly for a graduate audience:

https://mattwthomas.com/blog/war-of-attrition-complete-information/

All of this was in other places, but it took me a while to understand this fully and felt it was good to share it all in one place since it would have saved me a lot of time.

Pinned toot

I just finished a post about QF (quadratic finance) which some are pushing as the "mathematically optimal" way to fund open source.

https://mattwthomas.com/blog/fund-open-source/

I hope to clear up some of the confusion that I've heard about it and point out some problems with the way that people outside of Economics are interpreting the original paper.

I figured it out! This is the survival function of the binomial distribution, and the survival function of binomial distribution is strictly increasing in p (except in the case of minimum).

Therefore, a unique inverse exists, but there is no closed form solution except in the special case of minimum and maximum.

Does anyone know how to retrieve the distribution of a random variable from the distribution of it's order statistic? The CDF of the order statistic is

$$

F_{X_{(r)}}(x) = \sum_{j=r}^{n} \binom nj [ F_{X}(x) ]^{j} [ 1 - F_{X}(x) ]^{n-j}

$$

I know $F_{X_{(r)}}(x)$, but want to get $F_{X}(x)$.

Latex rendered: https://ttm.sh/uf8

I have just posted 21 photographs I took from Svalbard.

https://www.flickr.com/photos/joxeankoret/albums/72157719877725092

I have tried displaying abstracts via use of checkboxes and anchor links on my site. Which is better?

Checkbox:

https://mattwthomas.com

Anchor:

https://mattwthomas-com-git-patch-1-mwt1.vercel.app/

I always think that original tex code (or any code in fact) is a bit private, mostly because I usually don’t want to expose my stupidity and inefficiency in coding. For example, I wouldn’t want anyone to see my “\newcommand{\w}{\sigma}” under any circumstance. (Now you are seeing it only because I didn’t write it—I got it in a template from someone else who’s kind enough to share their tex files.)

Wrote a new post on the basics of analyzing Impartial Games. More to follow!

https://theboardgamescholar.com/2021/07/06/impartial-games-and-how-to-solve-them/

An old April Fool's day article I found amusing:

"On the Ratio of Circumference to Diameter for the Largest Observable Circles: An Empirical Approach"

https://arxiv.org/abs/1204.0298

Finally, an applied approach to Euclidean geometry.

Hi, I am an Economics PhD student at Northwestern University studying Economic Theory. I have a lot of interest in measure theory and topology.

Joined Jan 2021