I know this was discussed amongst the playerbase years and years ago, but nothing ever happened.
Given that EVE is based mainly on corporations, you would think there would be a stock market for buying and selling of shares of ownership of these corporations. Unfortunately for reasons that I will get into, this has never materialized.
You can, of course, privately buy and sell shares of corporations on EVE, but there isn’t a central market (much like the EVE market) for this to happen.
The main reason is that there would simply be too much corruption. For example, I could create a corporation, and place $1 trillion ISK in the wallet, thereby driving up the share price. I could then sell 49% of shares in that corporation for however many billions, withdraw the $1 trillion, and close the corp, keeping the profits from the sale of stock.
Also, there is no protection from a CEO/Owner from voting to increase the # of shares in a corporation at any given time, thereby diluting the value of all outstanding shares.
As I said, this idea is not without problems. However, given the incredible brain trust that EVE has, I would hope there is a workable solution to this.
So, if you have any ideas, then please feel free to share them!