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Sheldon Ross, University of Southern California
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Speaker
Sheldon Ross
Epstein Chair Professor
Industrial and Systems Engineering
University of Southern California
Abstract
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.
Status
- Workflow Status:Published
- Created By:Mike Alberghini
- Created:12/20/2012
- Modified By:Fletcher Moore
- Modified:10/07/2016
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