# Modern applications of 'division of stakes' theorem ?

1. Nov 25, 2012

### sab456

Hello folks,

I am new to this forum.

I am trying to find out which modern day games or sports apply the 'division of stakes' or 'problem of points' ?

A brief description of 'division of stakes' is as follows

The problem concerns a game of chance with two players who have equal chances of winning each round. The players contribute equally to a prize pot, and agree in advance that the first player to have won a certain number of rounds will collect the entire prize. Now suppose that the game is interrupted by external circumstances before either player has achieved victory. How does one then divide the pot fairly?

Pascal, Chevalier de Méré, Fermat among many others proposed their own distinct ideas to this problem.

Would you know any modern day games that would have a scenario where a certain number of rounds are to be won and if none of the teams achieve it, how is the outcome determined ?

Many thanks.

2. Nov 26, 2012

### cosmik debris

A game where this sort of decision comes up is One Day Cricket. If the game is rained off for example, they often use the Duckworth-Lewis system for re-calculating what it takes to win. This isn't quite your scenario but might provide some hints.