There are two baskets and everyone is able to put money into the baskets. At any given time the content of the baskets is public (everyone can see the amount put so far), but contributions can be done simultaneously. At the end of a certain given fixed time (known in advance to everyone) the basket with more money is declared the winner. The winners (people that put money inside the winning basket), after getting back their contributions to the winning basket, take all the money in the losing basket, in particular the money is divided by the winners proportionally to their contributions to the winning basket. Losers lose all the money.
To further clarify: It's possible for a single player to put money into both basket. But the money from the losing basket it's divided proportionally to the contributions to the winning basket between all the winners.
I envision this scenario to be actually played, therefore the total amount of money is finite and there is a limit to the number of contributions in a given time (realistically the limit will be very loose, like 1 contribution per second, for a game duration of 1 day).
Is there a game theoretic concept for the following scenario? Perhaps this game is known already with a particular name?
References are welcome!
If the game is run in one round, this kind of games are called Strategic Games. In addition, if this game is run repeatedly (finitely or infinitely), it would be called Repeated Game.