Visualizing the St. Petersburg paradox

1. St. Petersburg paradox

 I previously wrote an article about the St. Petersburg paradox.

・St. Petersburg paradox: https://tanakah17191928.blogspot.com/2020/02/st-petersburg-paradox.html

To make it easier to understand, I have visualized it in the graphs.

2. Money($M$) and Expected Value($E$)

 Money: $M = 2^{n - 1}$,

Expected value: $E = \displaystyle \sum_{k = 1}^{n} \left( \dfrac{1}{2^k} \cdot 2^{k - 1} \right) = \dfrac{1}{2} + \dfrac{1}{2} + \dfrac{1}{2} + \dfrac{1}{2} + \cdots = \dfrac{1}{2}n$

(10 dollars)

(100 dollars)

(100 million dollars)

- To read this article in Japanese