Sheldon Ross, University of Southern California

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Sheldon Ross
Epstein Chair Professor
Industrial and Systems Engineering
University of Southern California


Suppose there are r gamblers, with gambler i initially having a fortune of ni. In our first model we suppose that at each stage two of the gamblers are chosen to play a game, equally likely to be won by either player, with the winner of the game receiving 1 from the loser. Any gambler whose fortune becomes 0 leaves, and this continues until there is only a single gambler left. We are interested in the probability that player i is the one left, and in the the mean number of games played between specified players i and j. In our second model we suppose that all remaining players contribute 1 to a pot, which is equally likely to be won by each of them. The problem here is to determine the expected number of games played until one player has all the funds.


  • Workflow Status:Published
  • Created By:Mike Alberghini
  • Created:12/20/2012
  • Modified By:Fletcher Moore
  • Modified:10/07/2016


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