本来以为 there will be no game if both parties know the distribution of the amount of money in people's wallet, but a extreme case, namely when both of them have zero money in their wallet, jumps out to be the case when both of the them can safely seek positive value out of the game. It looks to me that this situation is not the only case when game is likely to happen, how about one have 2 cents and the other has 5 cents?