This game makes no sense.
It is obvious that at all time, each share's "Fair Value" is $.09 (in theory there is $900 chasing my 100 shares at time Tzero, so if I want everyone's money I have to make sure that I don't sell them for less than about .09 at time Tzero. By symmetry that condition holds for everone else too). Why would anyone bid more than $.09 for shares at time Tzero, and why would anyone offer their shares for less than $.09? In a real stock market, value is almost never based purely on psychology as earnings and dividends and book value eventually enter the equation (as well as things like how much my money can earn in a risk free asset.) How does this game even get started? The only way this game can get started is if someone breaks the symmetry and bids more than .09 or offers their shares for less than .09 for 1 share, at which point FV may change dynamically for those shares, but FV is always apparent - something that is clearly not true in a non-closed system like a real stock market.
Furthermore, if someone ends up with all the money, why is that considered winnning? What happened to all the shares? Do you mean he ends up with all the money and all the shares? In a real stock market someone may have all my money but I have all the shares which means I can easily convert my shares back to cash assuming a liquid market and a non bankrupt company.
My guess is you left something out.
nitro
PS - the way I would do it would be to set up an options market on those shares witha nice spread and act as a market maker
It is obvious that at all time, each share's "Fair Value" is $.09 (in theory there is $900 chasing my 100 shares at time Tzero, so if I want everyone's money I have to make sure that I don't sell them for less than about .09 at time Tzero. By symmetry that condition holds for everone else too). Why would anyone bid more than $.09 for shares at time Tzero, and why would anyone offer their shares for less than $.09? In a real stock market, value is almost never based purely on psychology as earnings and dividends and book value eventually enter the equation (as well as things like how much my money can earn in a risk free asset.) How does this game even get started? The only way this game can get started is if someone breaks the symmetry and bids more than .09 or offers their shares for less than .09 for 1 share, at which point FV may change dynamically for those shares, but FV is always apparent - something that is clearly not true in a non-closed system like a real stock market.
Furthermore, if someone ends up with all the money, why is that considered winnning? What happened to all the shares? Do you mean he ends up with all the money and all the shares? In a real stock market someone may have all my money but I have all the shares which means I can easily convert my shares back to cash assuming a liquid market and a non bankrupt company.
My guess is you left something out.
nitro
PS - the way I would do it would be to set up an options market on those shares witha nice spread and act as a market maker

Quote from kjkent1:
Whether the market is or is not random is irrelevant to your ability to make money trading. The only thing that is required from the market is price movement. The more price movement there is, the more money you can make.
I'm probably gonna catch all sorts of flack for this post, but consider the following little game:
Take 10 persons and put them in a room. Give each person $100 and 100 stock certificates. Now tell them to trade with each other.
Each time a trade is made, the traders record the price and shares on a chalkboard in the room, so everyone can see what happened.
Now, the question is: how do you accumulate all of the money in this little trading game over the long run (i.e., without cheating)?
The answer to the above question is surprisingly simple. And although, there are a couple of ways to win this game without cheating, there's only "one" way to win by doing nothing other than trading with the nine other people in the room.
Figure out the answer, and you're a trader. Until then, you're a gambler.
