Variance of the game duration in the gambler’s ruin problem. (English) Zbl 1250.91026
Summary: We derive the variance of the duration of play in the classical gambler’s ruin problem of two players with ties allowed. The variance of the game duration for the three-tower problem, one of the possible extensions of the game for the case of three players, is presented as well.
MSC:
| 91A60 | Probabilistic games; gambling |
| 60G40 | Stopping times; optimal stopping problems; gambling theory |
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